SSS, SAS, ASA, AAS

Front

What does SSS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the HL postulate?

Back

The HL postulate stands for Hypotenuse-Leg, which states that in right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of congruence in triangles?

Back

The significance of congruence in triangles is that it allows us to conclude that the triangles have the same shape and size, which is essential in various applications in geometry, such as solving problems involving angles, areas, and side lengths.

Tags

CCSS.8.G.A.2