Similarity Refresher

Are the following similar? Why or why not?

• Yes
• No, the corresponding angles are not equal.
• No, the ratios of the corresponding sides are not equal.

Which scale factor will result in an image that is smaller than the original?

Quadrilaterals P and Q are similar.

What is the scale factor that takes P to Q?

What must be true for two figures to be similar?

(Select all that apply.)

• The corresponding angles are congruent.

• The corresponding sides are congruent.

• The corresponding sides are proportional.

• The corresponding sides are parallel or on the same line.

What is the precise definition of similarity?

• 2 figures that have the same angles

• 2 figures that have proportional side lengths

• 2 figures with a sequence of rigid transformations taking one figure to another

• 2 figures with a sequence of rigid transformations and dilations that take one figure

  to the other

A polygon has perimeter 12.

It is dilated with a scale factor of k and the resulting

image has a perimeter of 8. What is the scale factor?