PROOFS with Congruent triangles

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 does SSS stand for in triangle congruence?

Back

Side-Side-Side; a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

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 does ASA stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the HL theorem?

Back

Hypotenuse-Leg theorem; a criterion for triangle congruence that applies to right triangles, stating that if the hypotenuse and one leg of one right triangle are equal 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 Reflexive Property?

Back

A property stating that any geometric figure is congruent to itself; used in proofs to show that a side or angle is equal to itself.

Tags

CCSS.HSG.SRT.B.5

Front

What are vertical angles?

Back

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

Tags

CCSS.7.G.B.5

Front

What are alternate interior angles?

Back

Angles that lie between two parallel lines and on opposite sides of a transversal; alternate interior angles are congruent.

Tags

CCSS.8.G.A.5

Front

What is the Transitive Property?

Back

If one quantity is equal to a second quantity, and the second quantity is equal to a third quantity, then the first quantity is equal to the third quantity.