Quiz about Dilation Properties

Question 1

Which of the following is the definition of a DILATION?

Accepted Answer

A transformation that can change the size of a polygon but leaves the shape unchanged.

Answer

A change in the shape of a polygon but leaves the size unchanged.

Answer

A transformation that changes the size of a shape.

Question 2

Which of the following is NOT a property of Dilations?

Accepted Answer

Dilations preserve size.

Answer

Dilations preserve angle measure.

Answer

Dilations preserve betweenness.

Answer

Dilations preserve orientation.

Question 3

Does the image show a dilation?

Accepted Answer

No

Answer

Yes

Question 4

Does the image show a Dilation?

Accepted Answer

Yes

Answer

No

Question 5

Square A is a Dilation of Square B. What is the scale factor of the squares?

Accepted Answer

4/5

Answer

1/7

Answer

5/4

Answer

7

Question 6

In this figure, triangle JBW is similar to triangle QKA, which of the following is true?

Accepted Answer

JB/BW = QK/KA

Answer

JW/JB = QA/KA

Answer

BW/JW = KQ/KA

Question 7

A dilation can produce a larger figure or a(n)______

Accepted Answer

enlargement

Answer

reduction

Answer

scale factor

Answer

center of dilation

Question 8

A dilation can produce a smaller figure or a(n)______

Accepted Answer

reduction

Answer

enlargement

Answer

scale factor

Answer

center of dilation

Question 9

The __________ is the ratio of a length of the image to the corresponding length on the original figure.

Accepted Answer

scale factor

Answer

reduction

Answer

enlargement

Answer

center of dilation

Question 10

Are the triangles similar?

Accepted Answer

No

Answer

Yes

Question 11

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor k = 2.

Accepted Answer

(8,18)

Answer

(2,4.5)

Answer

(-8,-18)

Answer

(9,4)

Question 12

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

Accepted Answer

(-5,-3)

Answer

(5,3)

Answer

(20,12)

Answer

(-20,-12)

Question 13

State the coordinate of the image of the given point B (-2,6) under a dilation with center at the origin with the given scale factor k = -3.

Accepted Answer

(6,-18)

Answer

(6,18)

Answer

(-6,-18)

Answer

(-5,3)

Question 14

State the coordinate of the image of the given point B (9,-6) under a dilation with center at the origin with the given scale factor k = 4/3.

Accepted Answer

(12,-8)

Answer

(12,8)

Answer

(27,-18)

Answer

(3,-2)

Question 15

Is the dilation a expansion or contraction if k = 2.5?

Accepted Answer

Enlargement

Answer

Reduction

Question 16

Is the dilation a expansion or contraction if k = 8/5?

Accepted Answer

Expansion

Answer

Contraction

Question 17

Is the dilation a expansion or contraction if k = 1/5?

Accepted Answer

Contraction

Answer

Expansion

Question 18

Is the dilation a reduction or enlargement if k = -2?

Accepted Answer

Enlargement

Answer

Reduction

Question 19

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

Accepted Answer

(6,0), (9,-3), (-6,-15)

Answer

(5,3), (6,2), (1,-2)

Answer

(2/3,0), (1,-1/3), (-2/3,-5/3)

Answer

(-1,-3), (0,-4), (-5,-8)

Question 20

A dilation is which of the following:

Accepted Answer

Either an enlargement or a reduction

Answer

An enlargement

Answer

A reduction

Answer

Neither an enlargement or a reduction

Question 21

What is (3, 6) under a dilation of 2?

Accepted Answer

(6, 12)

Answer

(3, 6)

Answer

(1.5, 3)

Answer

(12, 6)

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