Triangle Similarity Theorems

Find the length of the missing side.

• 4
• 6
• 5
• 7

Tags

CCSS.HSG.CO.C.9

Which of the following is NOT true about similar figures?

• A) Similar figures always have the same shape.
• B) Similar figures always have the same size.
• C) Similar figures always have corresponding angles that are equal.
• D) Similar figures always have corresponding sides that are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

• SP and SR

• QS and PT

• PS and RS

• TP and RQ

Tags

CCSS.HSG.SRT.A.2

Why are the triangles similar?

• AA~
• SAS~
• SSS~
• AAS~

Tags

CCSS.HSG.SRT.B.5

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

Which of the following do we consider rigid motions:

• translations

• dilation

• reflections

• rotations

How do these triangles appear to be similar?

• AA

• SAS

• SSS

• Not Similar