Quiz about Similarity Transformations

Question 1

What is the scaling factor in a dilation if the image is twice as large as the pre-image?

Accepted Answer

2

Answer

3

Answer

0.5

Answer

4

Question 2

If a figure is dilated by a factor of 0.5, what are the coordinates of the image if the pre-image has the coordinates (2, 4)?

Accepted Answer

(1, 2)

Answer

(3, 6)

Answer

(4, 8)

Answer

(0.5, 1)

Question 3

What is the image of a triangle with vertices at (1, 1), (3, 1), and (2, 3) after it is dilated by a factor of 3 and then reflected over the x-axis?

Accepted Answer

(3, -3), (9, -3), and (6, -9)

Answer

(1, 3), (3, 3), and (2, 1)

Answer

(1, -1), (3, -1), and (2, -3)

Answer

(3, 3), (9, 3), and (6, 9)

Question 4

What is the result of dilating a rectangle with vertices at (0, 0), (4, 0), (4, 2), and (0, 2) by a factor of 0.5 and then rotating it 90 degrees counterclockwise?

Accepted Answer

A rectangle with vertices at (0, 0), (0, 2), (-1, 2), and (-1, 0)

Answer

A rectangle with vertices at (0, 0), (1, 0), (-1, 2), and (0, 2)

Answer

A square with vertices at (0, 0), (2, 0), (2, 2), and (0, 2)

Answer

A rectangle with vertices at (0, 0), (3, 0), (3, 1), and (0, 1)

Question 5

What is the image of a square with vertices at (2, 2), (4, 2), (4, 4), and (2, 4) after it is dilated by a factor of 0.75 and then translated 2 units to the left and 3 units down?

Accepted Answer

Option A: The image of the square after dilation and translation is (-0.5, -1.5), (1, -1.5), (1, 0), and (-0.5, 0)

Answer

Option C: The image of the square after dilation and translation is (4, 1), (6, 1), (6, 3), and (4, 3)

Answer

Option B: The image of the square after dilation and translation is (1, 1), (3, 1), (3, 3), and (1, 3)

Answer

Option A: The image of the square after dilation and translation is (3, -1), (5, -1), (5, 3), and (-0.5, 3)

Question 6

If a figure is dilated by a factor of 0.3, what are the new coordinates of the point (10, 5) in the image?

Accepted Answer

(3, 1.5)

Answer

(7, 3.5)

Answer

(12, 6)

Answer

(5, 2.5)

Question 7

What are the coordinates of the image of a figure after it is dilated by a factor of 1.5 and then reflected over the y-axis if the pre-image has the coordinates (6, 8)?

Accepted Answer

(-9, 12)

Answer

(9, -8)

Answer

(4, 12)

Answer

(-6, 8)

Question 8

Find the value of x that makes $$\Delta ABC\ \sim\Delta DEF$$

Accepted Answer

6

Answer

4

Answer

3

Answer

8

Question 9

Find the length of $$\overline{AB}$$

Accepted Answer

9

Answer

6

Answer

8

Answer

7

Question 10

Determine whether the triangles are similar.

Accepted Answer

Yes they are similar by AA

Answer

Yes, they are similar by SSS

Answer

Yes, they are similar by SAS

Answer

No, they cannot be proven to be similar

Question 11

Complete the statements to show similarity:

$$m\angle CDF\ =\ ?$$ and $$m\angle\ DFE\ =\ ?\ \ \ \ $$

Accepted Answer

58 ; 90

Answer

58 ; 32

Answer

32 ; 90

Answer

32 ; 58

Question 12

Approximate the scale factor of the dilation in the given image.

Accepted Answer

5/3

Answer

1/2

Answer

3/5

Answer

4

Similarity Transformations

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