Proving Triangle Similarity by AA

The triangles are similar. State the reason and complete the similarity statement.

Answer explanation

The order of the points matter! Make sure congruent angles are in the same place.

Tags

CCSS.HSG.SRT.B.5

The triangles are similar. State the reason and complete the similarity statement.

Answer explanation

The order of the points matter! Make sure congruent angles are in the same place.

Tags

CCSS.HSG.SRT.B.5

Which of the following is a viable method of proving one triangle is similar to another?

• Show that 3 sides of one triangle are congruent to 3 sides of another.

• Show that 2 sides of one triangle & their included angle are congruent to 2 sides of another & their included angle.

• Show that 2 angles of one triangle are congruent to 2 angles of another.

• Show a sequence of rigid transformations (rotation, slide, reflection) map one triangle onto the other.

Answer explanation

The other choices prove triangles congruent, not similar.

Tags

CCSS.HSG.SRT.A.2

Determine whether the triangles are similar or not. If so, state how they are similar.

• Yes, by AA Similarity

• Yes, by SAS Similarity

• Yes, by SSS Similarity

• No, not similar

Tags

CCSS.HSG.SRT.B.5

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE

Tags

CCSS.HSG.SRT.A.2

Find the missing side using proportions.

• a

• b

• c

• d

Tags

CCSS.HSG.SRT.A.2

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

• AA

• SAS

• SSS

• Not Similar

Tags

CCSS.HSG.SRT.B.5

Are the triangles similar?

• Yes

• No

Tags

CCSS.HSG.SRT.A.2

Which triangles are similar to triangle A?

• B

• C

• Both

• None

Tags

CCSS.HSG.SRT.A.2

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

• AA

• SAS

• SSS

• Not Similar

Tags

CCSS.HSG.SRT.B.5