Proofs of Similar Triangles

2 triangles are similar if _____________.

• their angles are congruent.

• their sides are congruent.

• their areas are equal.

• their perimeters are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

If the triangles are similar, state how.

• SSS

• SAS

• AA

• Not similar

Tags

CCSS.HSG.SRT.B.5

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ

• ΔNOM ∼ ΔPQL

• ΔLMN ∼ ΔPQO

• ΔMLN ∼ ΔPQO

Tags

CCSS.HSG.SRT.A.2

The triangles are similar by...

• SAS

• AA

• ASA

• SSS

Tags

CCSS.HSG.SRT.B.5

The triangles are similar by...

• SAS

• AA

• ASA

• SSS

Tags

CCSS.HSG.SRT.B.5

Are these triangles similar?

• No

• Yes by SSS∼

• Yes by AA∼

• Yes by SAS∼

Tags

CCSS.HSG.SRT.B.5

How many pairs of congruent angles in 2 triangles are needed to prove the 2 triangles are similar?

• 2 or 3

• 1

• 0

• only 3

Tags

CCSS.HSG.SRT.B.5

What is the value of X?

• X=4

• X=6

• X=3

• X=2

Tags

CCSS.HSG.SRT.A.2

Which similarity theorem, if any, proves that these triangles are similar?

• SSS

• SAS

• AA

• None, the triangles are not similar

Tags

CCSS.HSG.SRT.B.5

Which similarity theorem, if any, proves that these triangles are similar?

• SSS

• SAS

• AA

• None, the triangles are not similar

Tags

CCSS.HSG.SRT.B.5