Similar Triangles

Front

What is the definition of similar triangles?

Back

Triangles that 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

If triangle SQR is similar to triangle SPT, which segments correspond to each other?

Back

Segment QR corresponds to segment PT.

Tags

CCSS.HSG.SRT.A.2

Front

What is the Midsegment Theorem in relation to triangles?

Back

A midsegment of a triangle is parallel to one side of the triangle and its length is half the length of that side.

Tags

CCSS.HSG.SRT.B.4

Front

What is the length of the midsegment AB if it connects the midpoints of two sides of a triangle and is given as 16?

Back

The length of AB is 16.

Front

What is the AA similarity theorem?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

What is the similarity statement for triangles LMN and PQO?

Back

ΔLMN ∼ ΔPQO.

Tags

CCSS.HSG.SRT.A.2

Front

What does it mean for two figures to be similar?

Back

It means that 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 relationship between corresponding sides of similar triangles?

Back

The corresponding sides of similar triangles are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the SSS similarity criterion?

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 SAS similarity criterion?

Back

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