Unit 3: Similarity Review

Circle A has a radius of a units and Circle B has a radius of b units. The radii of the two circles are not equal and a > b. What transformation must occur to make circles A and B the same size?

• Dilating circle A by a factor of b.

• Dilating circle A by a factor of a.

Similar figure must have

• congruent angles and congruent sides.

• congruent angles and proportional sides.

• proportional angles and congruent sides.

• proportional angles and proportional sides.

Are the two figures similar? Why or why not?

• No, because they are not the same size.

• No, because they don't share a center of dilation.

• Yes, because a translation 6 units down followed by a dilation of scale factor 2 through the origin maps Q to R.

• Yes, because a dilation of a scale factor 2 through the origin followed by a translation 6 units down maps Q to R.

If the line undergoes a dilation, for which center of dilation will the dilated line be the same as the original line?

• (0, -6)

• (0, 0)

• (-4, -1)

• (4, 1)

What is the value of x?

• 13.5

• 16

• 8

• 12.5

Are the figures similar?

• Yes

• No