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 by HL?

Back

You need to know that one leg of one triangle is congruent to one leg of the other triangle, and the hypotenuses are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for proving triangle congruence when two angles and the non-included side are known.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for proving triangle congruence when two angles and the included side are known.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for proving triangle congruence when two sides and the included angle are known.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for proving triangle congruence when all three sides of one triangle are congruent to all three sides of another triangle.

Front

What is the significance of SSA in triangle congruence?

Back

SSA (Side-Side-Angle) does not guarantee triangle congruence; it can lead to ambiguous cases.

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the difference between AAS and ASA?

Back

AAS involves two angles and a non-included side, while ASA involves two angles and the included side.

Front

What is the first step in proving triangles congruent?

Back

Identify the given information and determine which congruence criterion applies.