SSS and SAS Congruence Triangles

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

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 equal to two sides and the included angle of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have all three sides equal, what can be concluded about the triangles?

Back

The triangles are congruent by the SSS postulate.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two sides equal and the angle between them equal, what can be concluded about the triangles?

Back

The triangles are congruent by the SAS postulate.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between congruent triangles?

Back

Congruent triangles have the same size and shape, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

How can you prove that two triangles are congruent using SSS?

Back

Measure all three sides of both triangles. If all three sides of one triangle are equal to the corresponding sides of the other triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove that two triangles are congruent using SAS?

Back

Measure two sides and the included angle of both triangles. If the two sides and the included angle of one triangle are equal to the corresponding parts of the other triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is an example of a real-world application of triangle congruence?

Back

In construction, ensuring that two triangular supports are congruent can help maintain structural integrity.

Tags

CCSS.8.G.A.2

Front

If triangle ABC is congruent to triangle DEF, what can be said about their corresponding angles?

Back

The corresponding angles of triangle ABC and triangle DEF are equal.

Tags

CCSS.HSG.CO.B.7

Front

What is the importance of congruence in geometry?

Back

Congruence helps in understanding the properties of shapes and in solving problems related to measurements and constructions.

Tags

CCSS.8.G.A.2