Triangle Congruence

Front

What are the five ways to prove triangles congruent?

Back

SSS, ASA, AAS, SAS, HL

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 a 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.

Front

What is the significance of triangle congruence?

Back

Triangle congruence helps in proving that two triangles are identical in shape and size, which is essential in various geometric proofs and applications.

Front

Can SSA be used to prove triangle congruence?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence.

Front

How can you prove triangles are congruent using SSS?

Back

Measure all three sides of both triangles. If all three pairs of sides are equal, the triangles are congruent.

Front

How can you prove triangles are congruent using ASA?

Back

Measure two angles and the included side of both triangles. If they are equal, the triangles are congruent.