Similarity Transformation

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

• 3

• 0.5

• 2

• 4

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)?

• (3, 6)

• (4, 8)

• (1, 2)

• (0.5, 1)

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?

• (3, -3), (9, -3), and (6, -9)

• (1, 3), (3, 3), and (2, 1)

• (1, -1), (3, -1), and (2, -3)

• (3, 3), (9, 3), and (6, 9)

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

• (3, 1.5)

• (7, 3.5)

• (12, 6)

• (5, 2.5)

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)?

• (-9, 12)

• (9, -8)

• (4, 12)

• (-6, 8)

• 4

• 6

• 3

• 8

Determine whether the triangles are similar.

• Yes, they are similar by SSS

• Yes they are similar by AA

• Yes, they are similar by SAS

• No, they cannot be proven to be similar

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?

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

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

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

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

• 9

• 6

• 8

• 7

Which series of transformations were performed in the figure?

• Translation 5 units down, reflection over the y-axis

• Reflection over the x-axis, translation 6 units right

• Rotation 90^o clockwise, reflection over the x-axis

• Rotation 180^o clockwise, reflection over the y-axis