Solving Congruent Triangles

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the symbol used to denote congruence in triangles?

Back

The symbol for congruence is '≅'.

Front

If two triangles are congruent, what can be said about their corresponding angles?

Back

The corresponding angles of congruent triangles are equal.

Front

If two triangles are congruent, what can be said about their corresponding sides?

Back

The corresponding sides of congruent triangles are equal in length.

Front

What is the Side-Side-Side (SSS) Congruence Postulate?

Back

The SSS Congruence Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) Congruence Postulate?

Back

The ASA Congruence Postulate 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 triangles are congruent.

Front

What is the Angle-Angle-Side (AAS) Congruence Theorem?

Back

The AAS 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 triangles are congruent.

Front

What is the Hypotenuse-Leg (HL) Congruence Theorem for right triangles?

Back

The HL Congruence Theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

How can you find the value of x in congruent triangles?

Back

Set the corresponding sides or angles equal to each other and solve for x.

Front

If the corresponding sides of two congruent triangles are given as (5x - 10) and (3x + 18), how do you solve for x?

Back

Set the equations equal: 5x - 10 = 3x + 18, then solve for x.