Triangle Congruence Flashcard

Front

What is the congruence statement for triangles CRP and PRC?

Back

PRC

Front

If \( \Delta ABC \cong \Delta DEF \), which angles are congruent?

Back

\( \angle A \cong \angle D \)

Front

Are triangles congruent if they satisfy the ASA condition?

Back

Yes, by ASA (Angle-Side-Angle) congruence.

Front

List the five ways to prove triangles congruent.

Back

SSS, ASA, AAS, SAS, HL

Front

What is the Reflexive Property in geometry?

Back

A geometric figure is congruent to itself.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle: If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side: If two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

Hypotenuse-Leg: In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.