The Figure Shows Two Triangles On A Coordinate Grid:What Set Of Transformations Is Performed On Triangle (2024)

Mathematics High School

The Figure Shows Two Triangles On A Coordinate Grid:What Set Of Transformations Is Performed On Triangle (1)

Answers

Answer 1

The set of transformations that is performed on triangle ABC to form triangle A′B′C′ is C. A translation 5 units to the left followed by a 180 degree counterclockwise rotation about the origin.

What is a translation?

A translation is a geometric transformation when each point in a figure, shape, or space is moved in a specific direction by the same amount. A translation can also be thought of as moving the coordinate system's origin or as adding a constant vector to each point.

In this case, it can be seen that the shape was rotated counterclockwise twice. That's 90° × 2 = 180°

Therefore, the transformation that is performed on triangle ABC to form triangle A′B′C′ is a translation 5 units to the left followed by a 180 degree counterclockwise rotation about the origin.

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Related Questions

What is 1 2/3 minus -5 2/3?
Please do it fast!

Answers

Answer:

7 1/3

Step-by-step explanation:

1 2/3 - (-5 2/3)

1 2/3 + 5 2/3

7 1/3

need help !! Please somebody help

Answers

Answer:

The bottom Option

Note:

Due to my sus vibes from your questions, this is the last one I am answering from you. this is basic and easy if you read it.

What is a real word situation for 10y-3

Answers

The real world situation will be , Ram buys y pens and each pen costs $10 . How much he need to pay if he has already paid $3.

It is given that an equation is 10y - 3.

We have to write a real world situation representing above equation.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , division , etc.

As per the question ;

The expression given is 10y - 3.

Let's write a real world situation representing the above equation.

Ram buys y pens and each pen costs $10 . How much he need to pay more if he has already paid $3.

Let's assume no. of pens be 4 i.e., y = 4.

So ;

He need to pay more ;

= 10 × 4 - 3

= 40 - 3

= $ 37

Thus , the real world situation will be , Ram buys y pens and each pen costs $10 . How much he need to pay if he has already paid $3.

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What is the greatest common factor of 35 and 25

Answers

Answer:

5

Step-by-step explanation:

5 |35 | (5 is the divisor and 35 is the dividend)

= 7|

For 25;

5 |25|

=5

35 = 5 * 7

25 = 5 * 5

Now, common factor =5

A cup of cereal has 12 grams of fiber, which is 40% of the amount of fiber Jared's
doctor recommends he consume each day.
How much fiber does Jared's doctor recommend he consume each day?

Answers

Answer:

Jared's doctor recommends he consume 30 grams of fiber each day.

Step-by-step explanation:

Jared's doctor recommends he consume 30 grams of fiber each day. We know this is the answer because, if we divide 12 grams by 40%, we get 30 grams which means, 12 grams is 40% of 30 grams.

Answer:

30 grams

Step-by-step explanation:

Let the doctors recommendation be

12g = 40/100 × x

x = 12g ÷ 40/100

x = 12g × 100/40

x = 12g × 5/

x = 60g/

x = 3g

What is the ratio for sin A?

Answers

According to the given triangle the value of sin A = 4/5

In a right-angled triangle, the sin of an angle is equal to the ratio of the opposing side to the hypotenuse according to the sin theta formula.

Sin A = Opposite angle / hypotenuse= 4/5

There are about six trigonometric ratios—sine, cosine, tangent, cosecant, secant, and cotangent—which describe the many configurations that can be made in a right-angled triangle.

Trigonometry can only be used to solve a side of a right-angled triangle when the lengths of the other two sides and the angle of a side are already known. Before utilizing algebra to determine the value for the unknown side, one must first select a ratio that includes both the unknown and the given sides.

We are aware that the angle-length relationship in right-angled triangles will be covered in trigonometry.

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In the picture there is a triangle with ABC angles. Sides AB=5, BC=3, CA=4. The ratio of SinA=3/5.

Given that,

In the picture there is a triangle with ABC angles.

Sides AB=5, BC=3, CA=4

Trigonometric ratios, which contain the values of all trigonometric functions, are based on the ratio of sides of a right-angled triangle. The ratios of a right-angled triangle's sides with regard to a certain acute angle are known as its trigonometric ratios.

The right triangle's three sides are as follows:

Hypotenuse (the longest side)

Perpendicular (opposite side to the angle)

Base (Adjacent side to the angle)

According to the sin theta formula, the sin of an angle in a right-angled triangle is equal to the ratio of the opposite side to the hypotenuse.

Sin A = Opposite side / hypotenuse

SinA=3/5

Therefore, SinA=3/5.

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An investigator wants to test for the presence of simple sugars in a sample. She adds reagent to her sample and also to a sample of distilled water. What reagent should she have added?.

Answers

The investigator can test the presence of simple sugars in the sample by using Benedict's solution.

What is Benedict's test ?

Simple carbs are tested for using Benedict's Test. With free ketone or aldehyde functional groups, reducing sugars (monosaccharides and some disaccharides) are recognized by the Benedict's test.

What is Benedict's solution?

Benedict's solution turns orange or brick red when heated in the presence of simple carbohydrates. The reducing characteristic of simple carbs is what triggers this response. The Benedict's solution changes color as a result of the reduction of copper (II) ions to copper (I) ions.

The produced red copper(I) oxide precipitates out of solution because it cannot be dissolved in water. This explains how the precipitate was created. The closer the final hue is approaching brick-red and the more precipitate is generated as the reducing sugar concentration rises. Copper oxide, a brick-red solid, can occasionally precipitate out of a solution and gather at the test tube's bottom.

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Evaluate the expression if m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5 , and t = − 2 . − | 10 − 7 r + 8 m + 2 p |

Answers

Answer:

-53

Step-by-step explanation:

if m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5 , and t = − 2

-| 10 - 7r + 8m + 2p |

Substitute the given values into the equation.

-| 10 - 7(5) + 8(-4) + 2(2) |

Simplify

-| 10 - 35 + -32 + 4) |

-| -53 |

= -53

Absolute value of -53 is 53 however there is a negative sign outside of it, so the answer is -53

a number is chosen at random from the positive, even integers from 2 to 50. find the probability that the number chosen is divisible by 5 or 8.

Answers

The probability that the number chosen is dividible by 5 or 8 is 0.306.

According to the given question.

A number is chosen at random from the positive even integers from 2 to 50.

Now the total positive intergers from 2 to 50 which are divisible by 5 or 8 are {5, 8, 10, 15, 16, 20, 24, 25,30, 32, 35, 40, 45, 48, 50}

So, there are total 15 positive intergers from 2 to 50 which are divisible by 5 or 8.

⇒ Total number of favourable outcomes = 15

And the total positive integers from 2 and 50 is 49.

⇒ Total number of outcomes is 49.

As we know that, proabability is calculated by taking the ratio of favourable outcomes to the total number of outcomes.

Therefore, the probability that the number chosen is divisible by 5 or 8

= 15/49

= 0.306

Hence, the probability that the number chosen is dividible by 5 or 8 is 0.306.

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What number is halfway between -46.3
and 46.31?i

Answers

The number that is halfway between the numbers -46.3 and 46.31 will be 46.305.

We are given the two numbers:

- 46.30 and 46.31

Now, we need to find a number that is halfway between the given numbers.

For this, we need to find the mid point between the two numbers that is given to us.

Mid point is calculated as:

| x | + | y | / 2

Substituting the values in the expression, we get that:

46.3 + 46.31 / 2

= 92.61 / 2

= 46.305

Therefore, we get that, the number that is halfway between the numbers -46.3 and 46.31 will be 46.305.

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question 10(multiple choice worth 1 points) (01.01 lc) what is the rational number equivalent to 1 point 28 with a bar over 28? 1 and 6 over 97 1 and 28 over 99 1 and 8 over 33 1 and 5 over 16

Answers

The rational number equivalent to 1.28 bar over 28 is 1and 28 over 99 that is option 2) is correct

The number that we have been given is 1.28 bar over 28 that is 28 is repeating.

Now we have to convert it into simple fraction.

For we will first denote,

X = 1.28 bar over 28

Multiplying both side by 100 as two digits are being repeated we get,

100X = 128.2828…

Now subtracting it from X on both side s and putting the value of X we get

100X – X = 128.28… - 1.2828….

99X = 127

X =127/99

X = 1 28/99

Hence the rational number equivalent to 1.28 bar over 28 is 1and 28 over 99 that is option 2) is correct

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Justin operates an orange juice stand. Justin started out with 48 oranges. On monday, he used 3/4 of the orange. On Tuesday he used 1/12 as many oranges as Monday. How much more oranges did he sell on Monday compared to Tuesday.

Answers

Answer:

75% of 48 = 36 oranges used on M. 36/12=3, 3 is 1/12 of 36, so he sold 33 more oranges on M then on T when he only sold 3.

someone help pleaseeeee

Answers

Answer: I think 1.2

Step-by-step explanation:

1.35

Carlos is on a hike. He starts at 21 meters above sea level. He
stops at 6 meters below sea level. What is the difference in
elevation from when he started the hike to when he stopped?

Answers

Answer:

difference of 27 m

Step-by-step explanation:

starts at 21m and ends at -6m

21+x=-6

(rearrange so the X is by itself)

21+6=x x=27

the perimeters of two squares are in the ratio 2 : 7. What is the ratio of the area of the smaller square to the area of the larger square

Answers

The ratio of the area of the smaller square to the area of the larger square, that have a perimeter ratio of 2:7 is 4:49

What is the ratio of the area given the ratio of the perimeters of the squares?

The ratio of the perimeter of the squares = 2 : 7

Required: The ratio of the area of the smaller square to the larger square.

Solution: The perimeter of a square of side x is 4•x

The comparative length of the side of each square are therefore;

2/4 and 7/4

The comparative area are therefore;

(2/4)² and (7/4)²

The ratio of the areas of the square is therefore;

(2/4)² : (7/4)² = 1/4 : 49/16

Multiplying both sides of the ratio by 16 gives;

16×1/4 : 16×49/16

4:49

The ratio of the area of the smaller square to the area of the larger square is 4 : 49

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At a football game, $3,114 is collected for tickets. General Seating admission tickets are $10 while Reserved Seating tickets cost $18. A total of 245 tickets were sold. How many tickets of each type are sold?

Answers

Answer:

general:162 reserved:834

Step-by-step explanation:

Solve by using substitution

Need to know how to understand to work the problem out please so i can help my grandson out i am a grandmother been out of school for so long surely appreciate brantley has helped me out in the past thank you

Answers

Here are some key points that you can use to work a problem out.

How to understand a problem?Read and reread the problem to understand what it is about, what is it asking for, and what is the context.Describe the problem in your own words.Visualize the problem.Identify goals to solve the problem.Identify information (required, extra, and missing).Use appropriate resources, such as math and standard dictionaries, etc. to assist them in the correct math problem comprehension.Recognize if there are any conditions and/or assumptions that need to be applied to the math problem to receive the commonsense results.

Here are some other strategies that you could use to solve math problems. A brief description of each is stated below:

Guess and Check - Guessing the answer to see if the estimate worksOrganized Lists - Data-organizing chart to visually see the math problem's requirements and optionsPatterns - Patterns sometimes observed in a chart or table or sample problemsEliminating Possibilities - using a system of elimination to achieve the correct solution by testing different cases and checking their validity.Logical Reasoning - Using Venn diagrams for showing logic in reasoning to get the correct solutionVisual Aids - Use Picture, table, diagram, etc. for visually displaying the math sample problem at different stages.Using a Formula - Substituting values in formula to find the solutions.Work backwards - beginning with the end of a math problem.

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What is the sum of 3x² - x -2 and x² + 2x - 1?

Answers

Line the equations up based on their common factor. Keep in mind the X has an understood 1 in front of it if there is no coefficient. So, X = (1)X. Add them up as shown in the picture.

3x^2 + (1)x^2 = 4x^2

-(1)x + 2x = (1)x

-2 + -1 = -3

Then put these in order based on their variable (same order as in the original equations) don’t include the understood one when writing your final equation as some teachers may take off points for it.

Final answer= 4x^2 + x - 3

Answer:

Step-by-step explanation:

We can combine like terms in order to find this sum: 3x^2 + x^2 +2x -x -2-1= 2x^2 +x -3.

You will get 1 thanks, 5 stars, and 15 points if you answer!

Answers

Answer:

It's C/ Option 3

Step-by-step explanation:

trust me

Please help!! State which property of equality justifies the statement:

If 7x=28, then x=4.

Answers

The property of equality justifies the given statement is Transitive property of equality.

Given,

The statement:

If, 7x = 28,

then, x = 4

We have to find the property of equality that justifies this statement:

The transitive property of equality formula is given as follows:

If y = z and x = y, x must be z. Where items belong to the same category as x, y, and z. For instance, if a line segment's measurement is represented by "x," then its measurement should also be represented by "y" and "z."

The property of equality that justifies this statement If, 7x = 28,

then, x = 4 is transitive property of equality.

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what is the value of (x+y)^2 when x=2 and y= -4?

Answers

Answer: 20

Step-by-step explanation:

Everything within the parenthesis gets an exponent of two, so you should have (x^2+y^2).

After this, you plug in the 'x' and 'y' given, so the next part should look like (2^2+(-4)^2)

After step 2, do 2*2 and -4*-4 (exponents ask you to multiply numbers by a specific amount. In this case, both numbers are multiplied by themselves 2 times).

A negative times a negative is a positive, so -4^2 or -4*-4 is 16. 2^2 or 2*2 is simply 4.

Add 4 and 16 together to get your final answer of 20.

Hope this helps!

there is a dart that lands uniformly randomly in space on a dartboard. the dartboard is 3 concentric circles with radius 1, 2, and 3

Answers

There are 160 possibilities for area codes

We are required to find all the combinations for different area codes

It is given to us that the conditions for the tree digit area code are:

first digit could be any number from 4 through​ 8,

the second digit was either 4 5 6 or 7, and the third digit could be any number except 2 or 7

Using the conditions above, the digits which can be first digit of code = 4 through 8 =4,5,6,7,8

the digits which can be second digit of code= 4,5,6,7

the digits which can be third digit of code = 0,1,3,4,5,6,8,9

number of possibilities for first digit= 5

number of possibilities for second digit=4

number of possibilities for third digit= 8

Therefore, total number of possibilities of code = number of possibilities of first digit x number of possibilities of second digit x number of possibilities of third digit = 5 x 4 x 8=160

Therefore, there are 160 possibilities for area codes

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5. the difference between x and 7, divided by 3​

Answers

Answer:

x - 7 ÷ 3 or

x - 7

-------- <------ fraction bar/line

3

Step-by-step explanation:

If you are trying to write the the difference between x and 7, divided by 3 then the answer is above.

hope this helps :)

Cheryl paid $37.20 for 12 gallons of ice cream for a school picnic. how much would 1 quart of ice cream cost? group of answer choices $4.10 $0.68 $0.78 $3.10

Answers

Cheryl, that paid $37.20 for 12 gallons of ice cream for a school picnic would pay $0.78 for 1 quart of ice cream

To solve this problem, we have to state the equation using the information of the problem

Information about the problem:

Payment= $37.20Amount= 12 gallons1 quart cost=?

Converting the amount unit from gallon to quart, we get:

12 gallons * (4 quart / 1 gallon) = 48 quarts

12 gallons are equivalent to 48 quarts

Calculating how much would cost 1 quart of ice cream:

1 quart cost = payment / amount(quart)

1 quart cost = $37.20 / 48 quarts

1 quart cost = $0.78

What are algebraic operations?

We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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Make c subject of the formula

πc² =A​

Answers

Answer: c=[tex]\sqrt{A/\pi}[/tex]

Step-by-step explanation:

πc²=A​

c²=A/π

c=[tex]\sqrt{A/\pi}[/tex]

i have two 20-sided dice that each have 4 maroon sides, 7 teal sides, 8 cyan sides, and one sparkly side. if i roll both dice, what is the probability they come up the same?

Answers

The probability of color coming up the same for rolling two 20-sided dice is 129/400.

Probability is defined as how likely something is to happen. For a single dice, getting a maroon, teal, and cyan have a probability of 4/20, 7/20, and 8/20, respectively.

Before solving the probability, we must identify whether the events are considered independent or dependent. Independent events are when the probability of an event happening does not affect the other's event probability of happening. A dependent event is when the probability of an event happening affects the other event. The rolling of dice is considered an independent event.

For events that should occur together, the multiplication rule is used. To solve for the probability of two sides coming up the same, the formula below is used.

P (A and B) = P (A) * P (B)

P (red and red) = (4/20)*(4/20) = 1/25

P (teal and teal) = (7/20)*(7/20) = 49/400

P (cyan and cyan) = (8/20)*(8/20) = 4/25

Since no specific color was stated in the problem, the sum of the probability of each color coming up the same is determined.

P (color come up the same) = P (red and red) + P (teal and teal) + P (cyan and cyan)

P (color come up the same) = 1/25 + 49/400 + 4/25

P (color come up the same) = 129/400

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A family is polled to see the mean of the number of hours per day the television set is on. The results, starting with Sunday, are 5, 2, 1, 2, 1, 2, and 6 hours. What is the average number of hours the family had the television set on to the nearest whole number?

Answers

The average number of hours the family had the television set on is 3 hours.

What is the average number of hours?

The average of a set of numbers is calculated by adding the numbers together and dividing it by the total number. Average is also known as mean. Average is a measure of central tendency. Other measures of central tendency are mode and median.

Average = sum of the numbers / total number

Average = (5 + 2 + 1 + 2 + 1 + 2 + 6) / 7 =

19 / 7 = 2.714 hours

To round off a number to the nearest whole number, if the tenth digit is equal to 5 or greater than five, add one to the units digit. If this is not the case, the unit digit remain unchanged. In both cases, the tenth digit is replaced with o.

Because the tenth digit in 2.714 is greater than 5, the number becomes 3 hours.

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note: enter your answer and show all the steps that you use to solve this problem in the space provided. write and solve an equation that represents the following situation: 35 people paid a total of $245 for admission to a local soccer game. what is the price of admission?

Answers

The price of each admission is 7

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Total amount paid for admission = $245

Total number of people=35

So,

let the price of admission be x

So, 35x= 245

Now dividing both side by 35

35x/35=245/35

x= 7

Hence, price of each admission is 7.

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k/3+16 algebraic expression

Answers

Answer: -48

Step-by-step explanation:

k/3 + 16

find the roots by factoring

which leads to -48

k/3 + 16

To add or subtract expressions, expand them so their denominators are the same. Multiply 16 by 3/3.

k/3 + 16 × 3/3

Since k/3 and 16 × 3/3 have the same denominator, we join their numerators to add them.

k + 16 × 3/3

We perform the multiplications in k+16×3.

k + 48/3

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Mary typed 546 words in 13 minutes. julie typed 602 words in 14 minutes. who can type more words per minute? how much faster is that person?

Answers

Answer:

Julie, by one word per minute.

Step-by-step explanation:

Marie can type 42 words per minute, because 546/13 is 42. Julie can type 43 words per minute, because 602/14 is 43. Therefore, Julia is faster by one words.

The Figure Shows Two Triangles On A Coordinate Grid:What Set Of Transformations Is Performed On Triangle (2024)

FAQs

What set of transformations is performed on triangle ABC to form triangle A, B, C? ›

Expert-Verified Answer

The set of transformations that is performed on triangle ABC to form triangle A′B′C′ is translation 5 units to the left followed by a 180 degree counterclockwise rotation about the origin.

Which series of transformations proves the two triangles are congruent? ›

Two figures are congruent if and only if we can map one onto the other using rigid transformations. Since rigid transformations preserve distance and angle measure, all corresponding sides and angles are congruent.

What property could you use to show that these two triangles are congruent two triangles? ›

Expert-Verified Answer

The property that can be used to show that triangles ABC and DEF are congruent is the Angle-Side-Angle (ASA) criterion. In this case, angle A and angle D are equal (Angle), AB is equal to ED (Side), and AC is parallel to DF, implying that the corresponding angles are congruent (Angle).

What transformation on a coordinate grid preserve congruence? ›

Congruence in geometry means that figures have the same size and shape. Transformations that preserve congruence include rotations, reflections, translations, but not scalings (where the size of the figure changes). a. ( x, y) → ( x, -y) is a reflection over the x-axis, which preserves congruence.

Where does AB and C go on a triangle? ›

The longest side of the right triangle (the side opposite the 90o angle) is called the hypotenuse and the other two (shorter) sides are called the legs of the triangle. The legs of a right triangle are commonly labeled "a" and "b," while the hypotenuse is labeled "c."

Which triangles are congruent to △ ABC? ›

In words, if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the triangles are congruent. If in triangles ABC and DEF, angle A = angle D = right angle, AB = DE (leg), and BC = EF (hypotenuse), then triangle ABC is congruent to triangle DEF.

What are the transformations of a triangle? ›

There are four transformations we need to consider. Those are rotations, reflections, translations, and enlargements.

How do you prove that 2 triangles are congruent? ›

Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. : Two pairs of corresponding angles and the corresponding sides between them are equal.

What are the transformations for congruent triangles? ›

There are three main types of congruence transformations: reflections (flips), rotations (turns), and translations (slides). These congruence transformations can be used to obtain congruent shapes or to verify that two shapes are congruent.

Which shows two triangles are congruent by ASA? ›

If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.

How do you know if two triangles are congruent with coordinates? ›

Recall the SSS Congruence Theorem: If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. Given two triangles on a coordinate plane, you can check whether they are congruent by using the distance formula to find the lengths of their sides.

What are the conditions for 2 triangles to be congruent? ›

For two triangles to be congruent, one of 4 criteria need to be met.
  • The three sides are equal (SSS: side, side, side)
  • Two angles are the same and a corresponding. ...
  • Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
  • A right angle, the hypotenuse.

What are the transformations on a coordinate grid? ›

A transformation in a coordinate plane can be described as a function that maps pre-image points (inputs) to image points (outputs). Translations, reflections, and rotations all preserve distance and angle measure because, for each of those transformations, the pre-image and image are congruent.

Which transformations preserve shape? ›

Rigid transformations, like rotations and reflections, change a shape's position but keep its size and shape. These transformations preserve side lengths, angle measures, perimeter, and area.

What is the transformation of coordinates function? ›

A coordinate transformation will usually be given by an equation (x, y) = f(u, v). You can think of it as deforming or moving things in the u-v plane and placing them in the x-y plane.

Which sequence of transformations maps ∆ ABC to ∆ A, B, C? ›

The sequence of transformations that maps ∆ABC to ∆A′B′C′ is a reflection across the followed by a translation .

Which sequence of similar transformations could map △ ABC onto △ A, B, C'? ›

Triangle A prime B prime C prime is larger than triangle B A C and also is further to the left. Which sequence of similar transformations could map △ABC onto △A'B'C'? dilation and reflection.

What two transformations are performed on triangle ABC? ›

Final answer:

Performing a dilation and a translation will prove the similarity between triangles ABC and EBD.

Which type of transformation takes triangle A to triangle B? ›

Final answer:

A rigid transformation preserves the shape and size of a figure. This means Triangle A can be transformed to Triangle B by a sequence of translation, rotation, or reflection, depending on their locations and orientations.

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