Quiz about Dilate Points

Question 1

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 r = 2.

Accepted Answer

(8,18)

Answer

(2,4.5)

Answer

(-8,-18)

Answer

(9,4)

Question 2

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

Accepted Answer

A'(9,9) B'(18,18) C'(27,9)

Answer

A'(6,6) B'(9,9) C'(12,6)

Answer

A'(0,0) B'(3,3) C'(6,0)

Answer

A'(1,1) B'(2,2) C'(3,1)

Question 3

Triangle ABC will be dilated by a scale factor of 1/2. What will be the coordinates of C'?

Accepted Answer

(3, -1.5)

Answer

(-1, -2.5)

Answer

(12, 6)

Answer

(0, 1.5)

Question 4

Dilate Point B by a scale factor of 3:

Accepted Answer

(0,12)

Answer

(12,0)

Answer

(12,12)

Answer

(4,3)

Question 5

Dilate Point B by a scale factor of 1/2

Accepted Answer

(-1.5,1)

Answer

(1.5,-4)

Answer

(-1,-1.5)

Answer

(-2,-2)

Question 6

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 7

When A(3, 6) is under a dilation of 2 what are the coordinates of A'?

Accepted Answer

(6, 12)

Answer

(3, 6)

Answer

(1.5, 3)

Answer

(12, 6)

Question 8

Point B (-10,-6) is dilated with a scale factor of 1/2 and the center of dilation at the origin. What are the coordinated of B'?

Accepted Answer

(-5,-3)

Answer

(5,3)

Answer

(20,12)

Answer

(-20,-12)

Question 9

Triangle ABC is dilated using a scale factor of 1/2. The center of dilation is at the origin. What are the new coordinates of point A'?

Accepted Answer

(-3, 3)

Answer

(-12, 12)

Answer

(-2, 2)

Question 10

When the scale factor of a dilation is between 0 and 1, the dilation is a reduction (shrinks).

Accepted Answer

True

Answer

False

Question 11

Figure DMPN is dilated to form figure D'M'P'N. What is the scale factor?

Accepted Answer

2

Answer

3

Answer

1/3

Answer

1/2

Question 12

Figures A, B, C, and D are drawn. The center of dilation is point E. Which of the following figures are similar to figure A? Choose all correct answers.

Accepted Answer

Figure B

Accepted Answer

Figure D

Answer

Figure C

Question 13

Line $$f$$ is dilated with a scale factor of 2. The image is line $$g$$ . Which labeled point could be the center of this dilation?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 14

Select the sequence of rigid transformations and dilations that takes square $$ABCD$$ to square $$EFGH$$ .

Accepted Answer

Translate by the directed line segment AE. Then, rotate with center E by angle B'EF. Finally, dilate with center E by scale factor $$\frac{2}{5}$$

Answer

Translate by the directed line segment AE. Then, rotate with center E by angle B'EF. Finally, dilate with center E by scale factor $$\frac{5}{2}$$

Answer

Dilate using center E by scale factor $$\frac{2}{5}$$

Answer

Dilate using center E by scale factor $$\frac{5}{2}$$

Dilate Points

20 questions

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 r = 2.

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

Triangle ABC will be dilated by a scale factor of 1/2. What will be the coordinates of C'?

Dilate Point B by a scale factor of 3:

Dilate Point B by a scale factor of 1/2

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.

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

When A(3, 6) is under a dilation of 2 what are the coordinates of A'?

Point B (-10,-6) is dilated with a scale factor of 1/2 and the center of dilation at the origin. What are the coordinated of B'?

Triangle ABC is dilated using a scale factor of 1/2. The center of dilation is at the origin. What are the new coordinates of point A'?

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