PHS: 7.3 Similar Triangles

What is the Angle-Angle (AA) Similarity Postulate? Check all that apply

• If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

• Is when angles add up to 90 degrees.

• If ∠A≅∠F and ∠B≅∠G, then ∆ABC~∆FGH.

• If the measure of two angles of one triangle are proportional to the measure of two corresponding angles of another triangle then the triangles are similar.

Angle-Angle (AA) Similarity Postulate

• If the all the interior angles on two triangles add up to 180 degrees then the triangles are similar.

• When corresponding angles on a triangle are not congruent, then they are similar triangles.

• If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

• If the measure of two angles of one triangle are proportional to the measure of two corresponding angles of another triangle then the triangles are similar.

Side-Side-Side (SSS) Similarity Theorem

• If the corresponding side lengths of two triangles are proportional, then the triangles are similar.

• If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

• If the measure of two angles of one triangle are proportional to the measure of two corresponding angles of another triangle then the triangles are similar.

• If the measure of two angles of one triangle are proportional to the measure of two corresponding angles of another triangle then the triangles are similar.

Side-Angle-Side (SAS) Similarity Theorem

• If the corresponding side lengths of two triangles are proportional, then the triangles are similar.

• If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

• If the measure of two angles of one triangle are proportional to the measure of two corresponding angles of another triangle then the triangles are similar.

• If the lengths of two sides of one triangle are proportional to the lengths of two corresponding sides of another triangle and the included angles are congruent, then the triangles are similar.

Which triangle(s) are similar to triangle A?

• Triangle B

• Triangle C

• Both

• Neither

Tags

CCSS.HSG.SRT.A.2

Which triangle(s) are similar to triangle A?

• Triangle B

• Triangle C

• Both

• Neither

Tags

CCSS.HSG.SRT.A.2

If two triangles are similar their angles are______.

• proportional

• congruent

• supplementary

• complementary

Tags

CCSS.HSG.SRT.A.2

If two triangles are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Complete each proportion.
CB / DM  =  AC / ?

• BM
• MA
• BC
• AD

Tags

CCSS.HSG.SRT.A.2

Complete each proportion.

AB / AM = ? / AD

• BC

• AC

• MD

• MC

Tags

CCSS.HSG.CO.C.10