3/27 Missing Informations/Proofs Congruent Triangles

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What is the SAA criterion?

Back

SAA stands for Side-Angle-Angle, a criterion for triangle congruence where two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.

Front

Which criterion is NOT valid for proving triangle congruence?

Back

SSA (Side-Side-Angle) is NOT a valid criterion for proving triangle congruence.

Front

What information is needed to prove triangles congruent by ASA?

Back

You need two angles and the included side of one triangle to be congruent to two angles and the included side of another triangle.

Front

What additional information is required for the two triangles to be congruent by SSS?

Back

You need to know the lengths of all three sides of both triangles.

Front

What is the significance of the included angle in SAS?

Back

In SAS, the included angle is the angle formed between the two sides being compared, and it must be congruent for the triangles to be considered congruent.

Front

How can you prove triangles congruent using SAS?

Back

You must show that two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What is the relationship between congruent triangles?

Back

Congruent triangles have the same size and shape, meaning all corresponding sides and angles are equal.