Triangle Congruence Proofs

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Reflexive Property of Equality?

Back

For any geometric figure, it is equal to itself; for example, AB = AB.

Tags

CCSS.HSG.SRT.B.5

Front

What are vertical angles?

Back

Angles that are opposite each other when two lines intersect; they are always congruent.

Tags

CCSS.7.G.B.5

Front

What is the definition of complementary angles?

Back

Two angles that add up to 90 degrees.

Tags

CCSS.7.G.B.5

Front

What is the significance of the statement HD=DN in a proof?

Back

It indicates that segments HD and DN are equal, which is often used to establish congruence.

Tags

CCSS.HSG.SRT.B.5

Front

What is the purpose of a proof in geometry?

Back

To provide a logical argument that demonstrates the truth of a geometric statement or theorem.

Front

What does the term 'corresponding parts' refer to in triangle congruence?

Back

The sides and angles of two triangles that are in the same relative position.

Tags

CCSS.8.G.A.2

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

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 definition of the Side-Side-Side (SSS) congruence criterion?

Back

If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5