Module 3 Lesson 9

​SIMILAR TRIANGLES--POSTULATES------- REVIEW SSS

LEARN AA

​FUTURE SAS

Multiple Choice

Warm - up: What are the important properties of dilations?

• Dilations change the sides and angles of the image

• Dilations preserve angle measures and all sides are scaled equally

• Only angles change

• One side can change without changing the others.

Multiple Choice

Dilation or distortion?

• Dilation

• Distortion

Multiple Choice

State if the triangles in each pair are similar. If so, state how you know they are similar.

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar

Multiple Choice

State if the triangles in each pair are similar. If so, state how you know they are similar.

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar

Multiple Choice

Are these triangles similar?

• No
• Yes by SSS∼
• Yes by AA∼
• Yes by SAS∼

Multiple Choice

The triangles are similar by...

• SAS
• AA
• ASA
• SSS

Multiple Choice

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ
• ΔNOM ∼ ΔPQL
• ΔLMN ∼ ΔPQO
• ΔMLN ∼ ΔPQO

Multiple Choice

2 triangles are similar if _____________.

• their angles are congruent.
• their sides are congruent.
• their areas are equal.
• their perimeters are equal.

Multiple Choice

Are these triangles similar?
Angles in Triangle 1:  40⁰,60⁰, and 80⁰
Angles in Triangle 2:  40⁰,50⁰, and 90⁰

• Yes
• No
• There is not enough information to decide.

Multiple Choice

Are these triangles similar?
Known angles in Triangle 1:  40⁰,60⁰
Known angles in Triangle 2:  60⁰,40⁰

• Yes
• No
• There is not enough information to decide.

Multiple Choice

Are the triangles similar?

• Yes

• No

Multiple Choice

Are the triangles similar?

• Yes
• No

Multiple Choice

Complete the similarity statement.
ABC ~ ___

• ZYX
• XZY
• YZX
• XYZ

Multiple Choice

Are the triangles similar?

• Yes
• No

Multiple Choice

State if the triangles in each pair are similar. If so, state how you know they are similar.

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar

Multiple Choice

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

• AA
• SAS
• SSS
• Not Similar

Multiple Choice

Determine if the triangles are similar, and if so, by which theorem.

• AA

• SSS

• SAS

• Not Similar

Multiple Choice

Determine whether the triangles are similar(name the postulate or theorem you used).

• SSS similar
• AA similar
• SAS similar

Multiple Choice

Are the following similar? Why or why not?

• Yes, because the corresponding angles are congruent.
• No, the numbers are even
• No, the sides are 2 times larger, but the width is the same.

Multiple Choice

The two rectangles are scale drawings. What is the measurement of x?

• 21
• 1.25
• 20
• 4

Multiple Choice

Find the missing side using proportions.

• a

• b

• c

• d