Triangle Similarity Theorems and Postulates

Front

What is the Angle-Angle (AA) Similarity Theorem?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does the Side-Angle-Side (SAS) Similarity Theorem state?

Back

If an angle of one triangle is equal to an angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side-Side-Side (SSS) Similarity Theorem?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side Splitter Theorem?

Back

A line parallel to one side of a triangle divides the other two sides proportionally.

Tags

CCSS.HSG.SRT.B.4

Front

How can you determine if two triangles are similar using the AA criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of corresponding sides in similar triangles?

Back

The lengths of corresponding sides in similar triangles are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

What should you do if the triangles are rotated?

Back

Depend on the numerical side lengths, not the visual orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if they have the same shape but not necessarily the same size.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between the angles of similar triangles?

Back

The angles of similar triangles are congruent.

Tags

CCSS.HSG.SRT.A.2