Triangle Similarity

Front

What is Triangle Similarity?

Back

Triangle similarity refers to the concept that two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

What is the AA Criterion for Triangle Similarity?

Back

The AA (Angle-Angle) Criterion states that 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 it mean for triangles to be similar?

Back

Similar triangles have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the SSS Criterion for Triangle Similarity?

Back

The SSS (Side-Side-Side) Criterion states that if the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS Criterion for Triangle Similarity?

Back

The SAS (Side-Angle-Side) Criterion states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

How do you find the height of a triangle using similarity?

Back

To find the height of a triangle using similarity, set up a proportion based on the corresponding sides of similar triangles.

Tags

CCSS.HSG.CO.C.9

Front

What is a similarity statement?

Back

A similarity statement is a mathematical expression that indicates that two figures are similar, typically written in the form ΔABC ~ ΔDEF.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the angles of similar triangles?

Back

All corresponding angles in similar triangles are congruent (equal in measure).

Tags

CCSS.HSG.SRT.A.2

Front

If two triangles are similar, how do their areas compare?

Back

The areas of similar triangles are proportional to the square of the lengths of their corresponding sides.

Front

What is the ratio of the sides of similar triangles?

Back

The ratio of the lengths of corresponding sides of similar triangles is constant and is called the scale factor.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6