Triangle Postulates

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 equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the measure of the missing angle if two angles are 32° and 90°?

Back

The missing angle is 58°, since the sum of angles in a triangle is 180° (180° - 32° - 90° = 58°).

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a rule 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, then the triangles are congruent.

Front

What is the measure of the missing angle if two angles are 40° and 90°?

Back

The missing angle is 50°, since the sum of angles in a triangle is 180° (180° - 40° - 90° = 50°).

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 equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

How can you determine if two triangles are congruent using the AAA rule?

Back

The AAA rule (Angle-Angle-Angle) does not prove congruence, as it only shows that the triangles are similar, not necessarily congruent.

Front

What is the SSS postulate in triangle congruence?

Back

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

Front

If two triangles have sides of lengths 5 cm, 12 cm, and 13 cm, are they congruent?

Back

Yes, if another triangle has sides of the same lengths (5 cm, 12 cm, and 13 cm), they are congruent by the SSS postulate.

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180°.

Front

If two triangles have one angle of 60° and another angle of 60°, what can be said about their third angles?

Back

The third angles must also be equal, making the triangles congruent by the AAS rule.