Dilating Figures

 A dilation can produce a larger figure or a(n)______

• reduction

• enlargement

• scale factor

• center of dilation

True or false, when a figure is dilated, the new perimeter is always greater?

• True

• False

Pentagon ABCDE is similar to Pentagon RYMNT. Which of the following is correct.

• ∠C ≅ ∠M

• ∠T ≅ ∠E

• ∠Y ≅ ∠B

• ∠A ≅ ∠M

• ∠C ≅ ∠R

Similar figures must have

• Proportional sides and equal angles

• Equal sides and equal angles

• Proportional sides and the same number of angles

• Similar looking shapes

What scale factor was used to produce the image?

• 2

• 3

• 1/3

• 1/2

Which transformation(s) create(s) similar figures?

• Dilation

• Translation, Reflection, and Rotation

• Translation and Reflection

• Reflection and Rotation

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2

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.

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.