Congruent Triangle Proofs

Front

What are 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 is the Reflexive Property?

Back

A property stating that any geometric figure is congruent to itself, used in proofs involving congruent triangles.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Alternate Interior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Tags

CCSS.8.G.A.5

Front

What is the Angle-Side-Angle (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 Side-Angle-Side (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 Side-Side-Side (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 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 it mean for angles to be vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect; they are always congruent.

Tags

CCSS.7.G.B.5

Front

What is the definition of corresponding parts of congruent triangles?

Back

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

Tags

CCSS.8.G.A.2

Front

What is the significance of the statement AD=AD in proofs?

Back

It illustrates the Reflexive Property, indicating that a segment is equal to itself.