Similar Triangles Corresponding Sides and Angles

Mrs. Ashley used similar triangles to make a design.  Which statement about the triangles in the design must be true?

• They are the same size and shape.

• They are the same size but different shapes.

• They have corresponding angles that are congruent.

• They have corresponding sides that are congruent.

Are the triangles similar?

• Yes

• No

Which triangles are similar to triangle A?

• B

• C

• Both

• None

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.

• No, the corresponding angles are not equal.

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

Triangle ABC can be taken to a triangle A'B'C' using rigid motions and a dilation. Select ALL the equations that are true.

Determine if the triangles are similar. If not, explain why not.

• no, b=110

• no, b=40

• yes

• no, a=30

Are these triangles similar?

• Yes

• No

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ

• ΔNOM ∼ ΔPQL

• ΔLMN ∼ ΔPQO

• ΔMLN ∼ ΔPQO

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

Name the corresponding angle or side.

• A

• B

• C

• D