Similar vs Congruent Transformations

Which rule shows a scale factor of 4?

• (x, y) → (y, x)

• (x, y) → (x + 4, y + 4)

• (x, y) → (x, -y)

• (x, y) → (4x, 4y)

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

• Congruent

• Vertical

• Similar

• Complementary 

If the scale factor is greater than one, the new figure will be

• reduction

• enlargement

• scale

• not proportional

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

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

• A'(9,9) B'(18,18) C'(27,9)

• A'(6,6) B'(9,9) C'(12,6)

• A'(0,0) B'(3,3) C'(6,0)

• A'(1,1) B'(2,2) C'(3,1)

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees cw around the origin

• Rotate 90 degrees cw around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees ccw about the origin.

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