Triangle Postulates Practice

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are congruent to two angles and the corresponding included side of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are congruent to two sides and the corresponding included angle of another triangle, then the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a postulate that applies specifically to right triangles, stating that if the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

Can triangles be congruent if they only have their angles equal?

Back

No, triangles cannot be proven congruent solely based on having equal angles (AAA). This is because AAA does not guarantee that the sides are proportional.

Front

If two triangles have two angles and a non-included side equal, what can be concluded?

Back

The triangles are congruent by the AAS postulate.

Front

If two triangles have two sides and the included angle equal, what can be concluded?

Back

The triangles are congruent by the SAS postulate.

Front

If two triangles have all three sides equal, what can be concluded?

Back

The triangles are congruent by the SSS postulate.

Front

If two triangles have two angles and the included side equal, what can be concluded?

Back

The triangles are congruent by the ASA postulate.