Triangle PQR is rotated, translated, and dilated to obtain triangle P'Q'R' as shown. An Image of triangle PQR and PQR prime are displayed. The Triangle PQR intersects P at (minus 2, 0.5), R at (minus 2, minus 2.5) and Q at (0, minus 1.5). Similarly P, R, Q prime at (1.5,minus 1.5), (1.5,3), and (minus 1.5,1.5). Which statement about the two figures is correct? A. The two figures are similar because each angle measure of the image is times the corresponding angle measure of the preimage and all the pairs of corresponding sides are congruent. B. The two figures are similar because each angle measure of the image is times the corresponding angle measure of the preimage and all the pairs of corresponding sides are congruent. C. The two figures are similar because each side length of the image is times the corresponding side length of the preimage and all the pairs of corresponding angles are congruent. D. The two figures are similar because each side length of the image is times the corresponding side length of the preimage and all the pairs of corresponding angles are congruent.

Answers

Answer 1

The two figures are similar because each side length of the image is times the corresponding side length of the preimage and all the pairs of corresponding angles are congruent.

How to determine the true statements?

The transformations are given as:

RotationTranslationDilation

Rotation and translation would preserve the lengths and the angles of the triangles. Because they are rigid transformations.

Dilation would only preserve the angle of the triangles. Because it is a nonrigid transformation.

The above means that the angles of triangle PQR and triangle P'Q'R' are congruent

Hence, the true statement is (d)

Read more about transformation at:

https://brainly.com/question/11709244

#SPJ1


Related Questions

what is this 12 x ? = 5

Answers

The answer is: x= 5/12 or x=0.416

0.416666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666

Solve for X please show your work

6(x-4)=12

Answers

6*(x-4)=12

6x-24=12
+24 +24

6x=36

^divide both sides by six

x=6

The difference of two numbers is 2 their sum is 22 what are the numbers

Answers

12+10=22

12-10=22

is the two numbers whose sum is 22 and difference is 2.

y/-2 = -34
giving brain.

Answers

Answer:

y=68

Step-by-step explanation:

Answer:

y = 68

Step-by-step explanation:

We have the expression y over -2 = -34 and are asked to solve or y.

To solve, we need to isolate for y :

y/-2 = -34

Multiply -2 from both sides :

[tex]\frac{y}{-2} *-2=-34*-2[/tex]

[tex]y = 68[/tex]

What is the solution to the equation 37x = 9x + 4?

-7

-1/7

1/7

7

Answers

37x = 9x + 4

37x - 9x = 4

28x = 4


x = 7

Answer: The solution is C. 1/7.

Step-by-step explanation: Just plug 1/7 as x. You will find that the statement is true when you plug in 1/7.

Find the length of AB

Answers

Answer:

69

Step-by-step explanation:

Carlene is selling T-shirts for a fundraiser. The T-shirts cost $20.50 each. To date, she has raised $900. Her goal is to raise more than $10,740. How many more T-shirts, x, does Carlene need to sell to reach her goal?

Select the number line that includes the fewest number of T-shirts Carlene can sell and still meet her goal.

Answers

*T-shirt=‘’X’’ for solving equations*

1. $20.50X + $900= $10,740
2. Subtract $900 to both side
3. $20.50X= $9,840
4. Divided $20.50 to both side
5. X=480

Answer: Carlene need 480 more T-shirts to sell to reach her goal.


Check answer:

1. X=480
2. $20.50(480) +$900=$10,740
3. $20.50(480)=$9,840
4. $9,840 + $900= $10,740
5. $10,740=$10,740( check, so it’s percent correct)

Enter the correct value in the space provided
Mariah is shopping at the mall for a sweatshirt. She finds a sweatshirt that is marked down 55% off the original price. The original price of the sweatshirt is $78.25. what is the sale price of the sweatshirt

Answers

Answer:

$35.21

Step-by-step explanation:

100%:$78.25

45% :$?

100?=78.25×45

?= 78.25×45/100

=$35.21

Answer: $35.21

Step-by-step explanation: 100%:$78.25

45% :$?

100?=78.25×45

?= 78.25×45/100

=$35.21

A baseball team had 75 players show up for tryouts last year and this year had 90 players show up for tryouts. Find the percent increase in players from last year to this year.

Answers

Answer:

20%

Step-by-step explanation:

Subtract the original number from the new number: 90-75=15

The increase is 15

Now divide the increase by the original number: 15/75=.20

Then multiply your answer by 100: .20x100=20

Sakima is making cookies for a bake sale. He needs to make 20 dozen cookies. For each dozen, he needs 4 ounces of nuts. How many pounds of nuts should he buy?

A. 1 3/5 lb
B. 1/4 lb
C. 2 lb
D. 80 lb
E. 5 lb

Answers

Answer:

5

Step-by-step explanation:

20÷4=5

What is the volume of a pyramid container if the area of its base is 100 square inches and its height is 5 inches

Answers

Answer:

V≈166.67

Step-by-step explanation:

V=ABh

3=100·5

3≈166.66667

Answer:

166 2/3

Step-by-step explanation:

The formula to solve for the volume of a pyramid is lwh/3. Plug those numbers in and you'll get 10*10*5=500/3 = 166 2/3.

1/2(m - 3) = 1/4(m - 7)
I
Solve

Answers

½m - ³/₂ = ¹/₄m - ⁷/₄

½m - ¹/₄ m = -⁷/₄ + ³/₂

¹/₄ m = -¹/₄

M=-1

cuántos galones estadounidensesb se necesitan para llenar un depósito que mide 24 in de ancho 27 in de largo y 18 in de alto? ​

Answers

Answer:

se necesitan aprox 50 galones para llenarlo por completo


A garment Stroe bought so shirts cut the rate of
400 per shirts and sold them at a loss of
1600 Find S.p?
Sop=20000

Answers

Answer:

the selling price is 18,400

Step-by-step explanation:

The computation of selling price is shown below:

Given that

The cost price of the shirts is 20,000

And, there is a loss of 1,600

So, the selling price is

= 20,000 - 1.600

= 18,400

hence, the selling price is 18,400

WILL GIVE BRAINLIEST

A Fast Food Restaurant is offering 5 different toys in a kid's meal. A simulation was conducted to predict how many kid's meals must be bought in order to get all 5 toys. The results of 30 trials are shown in the stem and leaf plot below. (Each data point represents the number of kid's meals one person had to buy to receive all 5 toys.)

Based on the results of the simulation, what is the total number of people out of 200 who would need to buy less than 10 boxes of cereal to get all 5 toys?  Show or Explain or work.

Answers

Answer:

Step-by-step explanation:

look for the stem and leafs that are less than 10 and add them all up

5+7+9

6.
The distance from London to New York is 3456 miles.
A plane takes 8 hours to fly from London to New York.
Work out the average speed of the plane.
Di

Answers

Answer:

3456/8 = 432

432 miles per hour

Step-by-step explanation:

An observer (O) spots a bird flying at a 42° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 17,000 ft., how far is the bird (B) from its nest (N)? Round to the nearest whole number. (4 points)


A right triangle B N O is shown with angle B marked 42 degrees, side B N marked x and side B O marked 17000 feet.


a

11,375 feet


b

12,633 feet


c

14,862 feet


d

15,307 feet

Answers

Answer:

12,633 feet

Step-by-step explanation:

The horizontal distance between the observer and the bird's nest is

b. 12,633 feet

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, An observer (O) spots a bird flying at a 42° angle from a line drawn horizontally to its nest.

The hypotenuse distance which is from the observer's eye to the bird's nest is 17000ft and we need the horizontal distance or the distance of the adjacent.

∴ , cos = adjecen/hypotenuse.

cos42° = adjacent/17000.

adjacent = 17000×cos42°.

adjacent = 17000×0.743.

adjacent = 12631 feet.

learn more about trig ratios here :

https://brainly.com/question/14977354

#SPJ2

Helppppppp me with question 5 Tuesday pleaseeeeee

Answers

Answer:

n=19

Step-by-step explanation:

5+14=n

19=n

Your friend says that the solutions to the inequality 7x-20x<52 are x<-4 Solve the inequality correctly. What error did your friend​ make?
What are the solutions of the​ inequality?

Answers

Answer:

instead of x < -4 it should be x > -4

Step-by-step explanation:

7x - 20x < 52

subtract 20x from 7x which is -13x

now the equation is -13x < 52

divide both sides by -13 but when you divide by a negative you switch the sign so it would x > -4 not x < -4

hope this helps :)

Simplify n ⋅ n⋅ 2n
someone please help thanks

Answers

Answer:

the answer would be:

[tex]2n^3[/tex]

Hope that helps! :)

Step-by-step explanation:

Which one of the following examples represent a repeating decimal?

Answers

Answer:

C. 0.777777

Step-by-step explanation:

Need help............

Answers

Answer:

i would say C

Step-by-step explanation:

find the highest common factor using prime factorization for 27y and 54y³

Answers

Given:

27y and 54y³

​To find:

The highest common factor (HCF) using prime factorization.

Solution:

We have,

27y and 54y³

Using the prime factorization, we get

[tex]27y=3\cdot 3\cdot 3\cdot y[/tex]

[tex]54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y[/tex]

Now, the common prime factors are 3, 3, 3 and y. So,

[tex]HCF=3\cdot 3\cdot 3\cdot y[/tex]

[tex]HCF=27y[/tex]

Therefore, the highest common factor of the given terms is 27y.

15-3x=-6 what is the answer​

Answers

Answer:

x=7

Step-by-step explanation:

Translate the sentence into an equation.
Six more than the product of a number and 3 is 2

Answers

Answer:

3X+6=3

Step-by-step explanation:

six more can added before or after of the product of a number X and 3. substitute is by =

3x×6=3

what fraction of 9 is 3​

Answers

Answer:

1/3

Step-by-step explanation:

Take the part over the whole

3/9

We can simplify

Divide the top and bottom by 3

1/3

1/3

Step-by-step explanation:

3/9 is 1/3 because dividing both sides by 3 is 1/3

Where would the shape be located after a translation of 5 units to the right?

A. Quadrant 3

B. Quadrant 2

C. Quadrant 1

Answers

Answer:

It the shape would be in quadrant 1

Answer: Quadrant 1 I think

Step-by-step explanation:

72 is the result of x-20%

Help please--the way that I thought of solving this is not what the book says the answer is​

Answers

Answer:

The original cost was $90.

Step-by-step explanation:

"Judy bought a coat at the office of $72, which is 20% off the original price. what was the original cost of the coat?"

Your equation contains an error that will lead to an incorrect answer.

This is the correct way to write the equation.

We don't know the original price, so we let x = the original price.

The discount was 20% off the original price, so the discount is 20% of x.

20% of x is the same as 20% * x = 0.2x. The discount is 0.2x. We now subtract the discount from the original price.

x - 0.2x

She paid the discounted price of x - 0.2x. We are told that amount is $72, so we let our expression of the discounted price equal the discounted price we are told she paid.

x - 0.2x = 72

Now we solve for x, the original price.

x - 0.2x = 72

Combine like terms on the left side.

0.8x = 72

Divide both sides by 0.8

0.8x/0.8 = 72/0.8

x = 90

Answer: The original cost was $90.

P.S.

You must be careful when writing the equation. What you wrote was

x - 20%

on the left side. Notice that 20% is simply equal to 0.2; it is not 20% of the original price. By writing

x - 20% = 72

you are in fact writing

x - 0.2 = 72

meaning that the discount was $0.20

A discount of 20% on $90 is really $18, not $0.20.

There is a big difference there.

If you have any questions, just ask in the comments.

Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice’s race?

Answers

I got the answer Antonio had a head start of 3 meters.

Answer: i just did a quiz with this question and the answer is antonio had a head start of 3 meters.

Step-by-step explanation: hope this helped! thx for the points :D

Beth bought x pounds of grapes. Mary bought 4/9 less than that

Answers

Answer:

[tex]\frac{5x}{9}[/tex]

Step-by-step explanation:

Mary bought: x - [tex]\frac{4}{9}[/tex]x = [tex]\frac{5x}{9}[/tex]

Other Questions
Cenisa ran 1 kilometer. How many meters did she run? A. 10,000 meters B. 1,000 meters C. 100 meters D. 10 meters how do you simplify this 8-6/36*8/3 Ina mored market economy, property owned by the governmentO can be used by many citizens.O can cause economic inequality.O can help promote personal wealthO can be used for private businesses. What evidence is there in the first stanza of the poem that the speaker is giving advice? To whom is the speaker giving advice? Cite textual evidence to support your answer. In order to solve the system of equations below, Harvey multiplies each equation by a constant to eliminate the xterms.7x+ 3y = 52x+5v=-11 What are the resulting equations? *I need to show work*Suppose you have 11 coins in your pocket. You have nickels and dimes and they total $0.65. How many of each do you have? What happened in the election of 1800 that did not happened before? If you could change one thing about the modern world we live in,what would it be? Explain why. Create a work of art for a public space in your community, and write adedication speech that explains how the work of art you created reflectsthe culture of your community.I made a painting of an old theater.1-2 paragraphs are perfect Which of the following methods of writing evidence is a shortened version of what might be long idea that another writer has developed over many paragraphs? A.Summary B.Quotation C.Information D.Paragraphs what is the distance between (5 , 2)and (-1 , 4) geometry help multiple choice trig Which of the following waves has the longest wavelength? Group of answer choices a.ultraviolet b.gamma c.visible light d.microwaves Which of these statements best describes the historic racial power structure of Mississippi? A. The Civil War ended white control over Mississippi.B. Whites and blacks both had times of being in power.C. Whites built their wealth by oppressing other groups of people.D. Race did not play a large role in the state's history. ways to deal with stress Can music be an influence for the greater good Helppp meeeeee please The East India Company had a monopoly on tea shipped to the colonies This means the east india company had n again i need some help pls 14.3 times 6.2[NEED ANSWER ASAP]