Triangle Congruence SSS,SAS,AAS,ASA

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem 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 does ASA stand for in triangle congruence?

Back

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

Front

What is the relationship between the angles in a triangle?

Back

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

Front

If two triangles have two equal angles, what can be said about their third angles?

Back

If two triangles have two equal angles, then their third angles are also equal due to the angle sum property of triangles.

Front

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

Back

To determine if two triangles are congruent using SSS, measure all three sides of both triangles. If all three sides of one triangle are equal to the corresponding sides of the other triangle, they are congruent.

Front

How can you determine if two triangles are congruent using SAS?

Back

To determine if two triangles are congruent using SAS, measure two sides and the included angle of both triangles. If the two sides and the included angle of one triangle are equal to the corresponding parts of the other triangle, they are congruent.

Front

How can you determine if two triangles are congruent using AAS?

Back

To determine if two triangles are congruent using AAS, measure two angles and a non-included side of both triangles. If the two angles and the corresponding non-included side of one triangle are equal to the corresponding parts of the other triangle, they are congruent.

Front

How can you determine if two triangles are congruent using ASA?

Back

To determine if two triangles are congruent using ASA, measure two angles and the included side of both triangles. If the two angles and the included side of one triangle are equal to the corresponding parts of the other triangle, they are congruent.