Transformations Congruent Similar

Choose the correct transformations

• rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis

• right 1, down 4, and then reflection over the y-axis

• right 6, and then reflection over the x-axis

• reflection over the line y=x, and then translate up 4, right 2

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

Rectangle ABCD is undergoing a series of transformations. Which of the following transformations will NOT cause the resulting rectangle to maintain congruence with rectangle ABCD?

• Translation 3 units left, then translation 7 units down.
  

• Dilation by a scale factor of 3, then dilation by a scale factor of 3.

• Dilation by a scale factor of 2, then dilation by a scale factor of 1/2.

• Translation 4 units right, then translation 6 units up. 

Which transformation(s) preserve congruency? (Choose all that apply)

• rotations

• reflections

• translations

• dilations

A dilation produces a similar figure

• True

• False

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, 5)

• (-5, 3)

• (-3, 3)

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D

C(-6, 2) and B(-1, -1)
Translate (x, y) -> (x + 3, y - 1)

• C' (-3, 1), B' (2, -2)

• C' (3, -1), B' (-2, -4)

• C' (-9, 1), B' (-4, -2)

• C' (-7, 1), B' (-2, -2)

Reflect over the x-axis

• (-2, 2), B' (3, 2)

• (-2, -2), B' (3, -2)

• (2, -2), B' (-3, -2)

• (2, -2), B' (2, 3)

If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, -5)

• (-5, 3)

• (-3, 3)