Quiz about Dilation and Parallel Triangles

Question 1

What is the center of dilation?

Accepted Answer

(-2, 1)

Answer

(2, -1)

Answer

(0, 0)

Answer

(-1, 2)

Question 2

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?

Accepted Answer

20 feet

Answer

24 feet

Answer

29 feet

Answer

51 feet

Question 3

Given points A(1, -4) and B(-6, 3), find the coordinates of the image if the points are dilated by a scale factor of 2 with a center of C(1, -5).

Accepted Answer

A'(1, -3) and B'(-13, 11)

Answer

A'(5, -23) and B'(-9, -9)

Answer

A'(2, -4) and B'(-11, 10)

Answer

A'(3, 0) and B'(-10, 9)

Question 4

Question 4.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 5

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?

Accepted Answer

15

Answer

10

Answer

12

Answer

18

Question 6

The triangles are similar, solve for the question mark.

Accepted Answer

18

Answer

8

Answer

12.5

Answer

24

Question 7

Select ALL that apply.

Accepted Answer

Trapezoid ABCD is similar to Trapezoid A'B'C'D'.

Accepted Answer

The scale factor of the dilation is 2 and centered at the origin.

Answer

Trapezoid ABCD is NOT similar to Trapezoid A'B'C'D'.

Answer

The scale factor of the dilation is 1/2 and centered at the origin.

Answer

The scale factor of the dilation is 3 and centered at the origin.

Question 8

What is the center of dilation?

Accepted Answer

(3, -2)

Answer

(1, 1)

Answer

(3, 0)

Answer

(-3, 0)

Question 9

Find side length X.

Accepted Answer

25

Answer

30

Answer

15

Answer

40

Question 10

Line A'B' will be the image of line AB under a dilation with a scale factor of 0.5 and a center at Point E. Which statements are true? Select ALL that apply.

Accepted Answer

Line A'B' will be parallel to Line AB.

Accepted Answer

Line A'B' will be closer to Point E than Line AB.

Answer

Line A'B' will be farther away from Point E than Line AB.

Answer

Line A'B' will be perpendicular to Line AB.

Question 11

Hexagon ABCDEF is dilated by a scale factor of 0.5 with a center at C(-2, 4). Point D is originally located at (6, -8). What is Point D' of the hexagon?

Accepted Answer

D'(2, -2)

Answer

D'(-2, 2)

Answer

D'(1, -3)

Answer

D'(3, -1)

Question 12

Is AB parallel to A'B' ?

Accepted Answer

Yes, because dilations create parallel lines

Accepted Answer

Yes, because the sides are divided proportionally. $$\frac{2}{4}=\frac{3}{6}$$

Answer

No, because the sides are not proportional.

Answer

No, dilations do not create parallel lines.

Question 13

Scale factor greater than 1 makes the image _________

Accepted Answer

larger

Answer

smaller

Answer

same size

Question 14

This is an ________________.

Accepted Answer

enlargement

Answer

reduction

Answer

reflection

Question 15

Scale factor between 0 and 1 makes the image _________

Accepted Answer

smaller

Answer

larger

Answer

same size

Question 16

To find an image _________the side length by the scale factor.

Accepted Answer

multiply

Answer

add

Answer

subtract

Answer

divide

Question 17

Triangle ABC is take to triangle $$A$$ by dilation. Which of the scale factors would result in an image that was smaller than the original figure?

Accepted Answer

$$\frac{3}{5}$$

Accepted Answer

$$\frac{13}{17}$$

Answer

1

Answer

$$\frac{4}{3}$$

Dilation and Parallel Triangles

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