Congruent Triangle 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 CPCTC stand for?

Back

Corresponding parts of congruent triangles are congruent.

Tags

CCSS.HSG.CO.B.7

Front

What is the SAS congruence postulate?

Back

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 is the ASA congruence postulate?

Back

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSS congruence postulate?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the HL congruence postulate?

Back

If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the statement 'Given' in a proof?

Back

It indicates the information that is provided and accepted as true for the purpose of the proof.

Front

What is the purpose of the 'Substitution' property in proofs?

Back

It allows you to replace a variable or expression with another equivalent variable or expression.

Front

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

Back

The sides and angles of one triangle that match with the sides and angles of another triangle.

Tags

CCSS.8.G.A.2

Front

What is the role of the 'Proof' in geometry?

Back

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

Tags

CCSS.7.G.A.2