Congruent Triangles

Front

What does ASA stand for in triangle congruence?

Back

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 does SAS stand for in triangle congruence?

Back

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 SSS stand for in triangle congruence?

Back

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 AAS stand for in triangle congruence?

Back

Angle-Angle-Side: A postulate 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

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

Back

If two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle, the triangles are congruent.

Front

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

Back

If two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle, the triangles are congruent.

Front

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

Back

If all three sides of one triangle are equal to all three sides of another triangle, the triangles are congruent.

Front

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

Back

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, the triangles are congruent.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles are important because they allow us to establish that two shapes are identical in size and shape, which is fundamental in proofs and constructions.

Front

Can two triangles be congruent if only one side is known?

Back

No, at least two sides and the included angle or two angles and a side must be known to determine congruence.