Perform Similarity Transformations

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

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

• 1/7

• 4/5

• 5/4

• 7

True or false, when a figure is dilated, the corresponding angles are congruent?

• True

• False

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

• reduction

• enlargement

• scale factor

• center of dilation

Henry starts with the two parallel line segments shown. She correctly reflects the segments across the x-axis and then translates them following the rule (x,y) --> (x-2,y+5). Which statements about the reflection and translation of the line segments are true? Select all that apply

• The final image will result in parallel segments slanted in the opposite direction and the same distance apart as the preimage segments.

• The coordinates of point C’ in the final image are (1,4).

• When reflected over the x-axis, the coordinates of point A become (2,–4).

• The final image will result in perpendicular segments that intersect at point (0,1).

• The final image will result in parallel segments slanted in the same direction and closer together than the preimage segments.

Which sequence of transformations is used to transform the original image to the final image? Original: ABCD Final: A" B" C"D"

• Reflect over the x-axis and then rotate clockwise 90 around the origin.

• Rotate counterclockwise 90 around the origin and then translate 8 units left.

• Reflect over the y-axis and then rotate counterclockwise 90 around the origin.

• Rotate clockwise 90 around the origin and then translate 8 units left.

Which transformations could be used to transform from the original image to the final image?

• Translate 7 units up.

• Translate 8 units right.

• Rotate 90 counterclockwise around the origin

• Rotate 180 around the origin.

• Translate 5 units down.

Ronnie performed a series of rigid transformations on Figure 1. The result of the transformations is Figure 2 as shown on the coordinate grid. What is the sequence of transformations that Ronnie followed so that Figure 1 lies exactly on top of Figure 2?

• a reflection across the x-axis and then a translation of 6 units to the right and 3 units up.

• a 90 counterclockwise rotation about the origin and then a translation of 5 units left and 3 units down

• a reflection across the y-axis and then a translation of 5 units to the left and 5 units down

• a 270 counter-clockwise rotation about the origin and then a reflection across the x-axis

Point (10,3) is reflected across the x-axis. What is the new coordinate?

• (3,10)

• (-10,3)

• (10,-3)

Point (10,3) is reflected across the y=x. What is the new coordinate?

• (3,10)

• (-10,3)

• (10,-3)