Similar and Congruent Rectangles and Dilation

Which of the following are true about dilations? Select all that apply.

• Dilations have the same shape as the original.

• Dilations can be enlargements of the original image.

• Dilations can be reductions of the original image.

• Dilations are always congruent.

What is the scale factor?

• 2

• 1/2

• (1,2)

• (2,1)

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Which of the following do not preserve congruence?

• reflections

• translations

• rotations

• dilations

Answer explanation

Dilations change size so they do not stay the same size...aka they do not preserve their size or congruence.

A dilation of a figure is ___________.

• Congruent

• Similar

• Neither congruent nor similar

• Not proportional

Which of the following are Dilations?

• (x, y) → (x, 3y)

• (x, y) → (3x, 3y)

• (x, y) → (x, y - 3)

• (x, y) → (.5x, .4y)

What is the scale factor if the smaller rectangle is the original rectangle?

• 4

• 25

• 5

• 6

What is the scale factor used to dilate the small square to the larger square given there areas?

• 4

• 16

• 3

• 12

If a rectangle is drawn and another rectangle is drawn so that the sides are twice as big as the first rectangle, what happens to the area?

• doubles

• triples

• quadruples

• not enough information

Dilations are ________ but not congruent.

• Similar

• Flipped

• Rotated

• Congruent