HW - 5.5 Proving Triangles Congruent

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for proving the congruence of right triangles.

Front

What additional information is needed to prove triangles congruent using HL?

Back

You need to know that one leg of each triangle is congruent, or the angles opposite the legs are congruent.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion that states if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What additional information is needed to prove triangles congruent using SSS?

Back

You need to know that all three corresponding sides of the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion that states 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 ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion that states 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

AAS stands for Angle-Angle-Side, a criterion that states 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 is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence unless additional information is provided.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means their corresponding sides and angles are equal.

Front

How can you determine if two triangles are congruent?

Back

You can use congruence criteria such as SSS, SAS, ASA, AAS, or HL.