Congruent Triangles

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.

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the HL theorem in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove two triangles are congruent using AAS?

Back

To prove two triangles are congruent using AAS, you need to show that two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove two triangles are congruent using ASA?

Back

To prove two triangles are congruent using ASA, you need to show that two angles and the included side of one triangle are congruent to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove two triangles are congruent using SAS?

Back

To prove two triangles are congruent using SAS, you need to show that two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove two triangles are congruent using SSS?

Back

To prove two triangles are congruent using SSS, you need to show that all three sides of one triangle are congruent to all three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles are significant because they allow us to establish that two shapes are identical in size and shape, which is essential for solving many geometric problems.

Tags

CCSS.8.G.A.2