Similar and congruent triangles

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem that states if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of similar triangles?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size. Their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the Reflexive Property in geometry?

Back

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and the ratios of their corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

The SSS similarity 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 Angle-Angle (AA) similarity criterion?

Back

The AA similarity 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

If two triangles have one angle equal and the sides including that angle are in proportion, what can be concluded?

Back

The triangles are similar by the Side-Angle-Side (SAS) similarity criterion.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between the ratios of corresponding sides of similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2