Congruent Triangles

Front

What is the SSS Congruence Theorem?

Back

The SSS (Side-Side-Side) Congruence Theorem states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the SAS Congruence Theorem?

Back

The SAS (Side-Angle-Side) Congruence Theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the ASA Congruence Theorem?

Back

The ASA (Angle-Side-Angle) Congruence Theorem states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What is the AAS Congruence Theorem?

Back

The AAS (Angle-Angle-Side) Congruence Theorem states that 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 two triangles are congruent.

Front

What is the HL Congruence Theorem?

Back

The HL (Hypotenuse-Leg) Congruence Theorem 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, then the two triangles are congruent.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, which means their corresponding sides and angles are equal.

Front

What is the SSA condition in triangle congruence?

Back

The SSA (Side-Side-Angle) condition does not guarantee triangle congruence, as it can lead to ambiguous cases where two different triangles can be formed.

Front

How can you prove triangles are congruent using the SSS theorem?

Back

To prove triangles are congruent using the SSS theorem, measure all three sides of both triangles and show that they are equal.

Front

How can you prove triangles are congruent using the SAS theorem?

Back

To prove triangles are congruent using the SAS theorem, measure two sides and the included angle of both triangles and show that they are equal.

Front

How can you prove triangles are congruent using the ASA theorem?

Back

To prove triangles are congruent using the ASA theorem, measure two angles and the included side of both triangles and show that they are equal.