Establishing Triangle Similarity Criteria

The Angle-Angle Similarity (AA ~) Theorem states if two angles of one triangle are _______________ to two angles of another triangle, then the triangles are ____________________.

• adjacent; equal

• complementary; scalene

• congruent; similar

• supplementary; isosceles

Tags

CCSS.HSG.SRT.A.2

The Side-Side-Side Similarity (SSS ~) Theorem states if the corresponding sides of two triangles are _____________________, then the triangles are _________________.

• proportional; similar

• similar, proportional

• congruent; congruent

• equal; equilateral

Tags

CCSS.HSG.SRT.B.5

The Side-Angle-Side Similarity (SAS ~) Theorem states that if two sides of one triangle are ________________ to two sides of another triangle and their _________________ angles are congruent, then the triangles are similar.

• adjacent; intersect

• complementary; form

• adjacent; create

• proportional; included

Tags

CCSS.HSG.SRT.B.5

Which is not a similar triangle theorem?

• ASA∼

• SAS∼

• SSS∼

• AA∼

Tags

CCSS.HSG.SRT.B.5

State the postulate that proves these triangles are similar.

• AA~

• SAS~

• SSS~

• AAS~

Tags

CCSS.HSG.SRT.B.5

State the postulate that proves these triangles are similar.

• SSS~

• SAS~

• AA~

• Not similar

Tags

CCSS.HSG.SRT.B.5

State the postulate that proves these triangles are similar.

• AA~

• SAS~

• SSS~

• Not Similar

Tags

CCSS.HSG.SRT.B.5

Are the triangles similar?

• Yes
• No

Tags

CCSS.HSG.SRT.A.2

Are the triangles similar?

• Yes
• No

Tags

CCSS.HSG.SRT.A.2

How do these triangles appear to be similar?

• AA
• SAS
• SSS
• Not Similar

Tags

CCSS.HSG.SRT.B.5