Math 1 Congruent Triangles

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle. It is NOT a valid shortcut for proving triangles congruent.

Front

What does the SAS postulate state?

Back

SAS stands for Side-Angle-Side. 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 is the SSS postulate?

Back

SSS stands for Side-Side-Side. If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle. 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 AAS theorem?

Back

AAS stands for Angle-Angle-Side. 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 HL theorem?

Back

HL stands for Hypotenuse-Leg. It is a specific case for right triangles where if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

Can two triangles be congruent if they only share one angle?

Back

No, sharing only one angle (SSA) does not guarantee triangle congruence.

Front

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

Back

Yes, if both triangles have sides of lengths 5, 12, and 13, they are congruent by SSS.

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles have the same size and shape, while similar triangles have the same shape but not necessarily the same size.

Front

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

Back

Measure all three sides of both triangles. If all corresponding sides are equal, the triangles are congruent.