Determining If Two Figures Are Similar

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

• Congruent

• Vertical

• Similar

• Complementary

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.

Similar Figures have angles that are corresponding and congruent.

• True

• False

If triangle ABC is similar to triangle DEF, that means that angle B corresponds with which angle:

• Angle D

• Angle E

• Angle F

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.

Are the two figures similar?

• yes

• no

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

The triangles are similar, solve for the missing length of the larger triangle. A proportion would be helpful to set up.

• 8

• 12.5

• 18

• 24

What is the Scale Factor from ΔDEF (original) to ΔABC (new)?

• 1/2

• 7/3

• 2

• 10/3

What is the Scale Factor from ABCD (original) to MNOP (new)?

• 2/3

• 3/2

• 2

• 3