Congruent Triangles

Front

What is the Exterior Angle Theorem?

Back

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles.

Front

If ∠A ≅ ∠D, what can we conclude about triangles that include these angles?

Back

If ∠A ≅ ∠D, then the triangles are similar or congruent, depending on the other corresponding sides and angles.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if all their corresponding sides and angles are equal.

Front

If ∆ABC ≅ ∆XYZ, what can we say about side AB?

Back

AB ≅ XY.

Front

What is the formula to find the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

How do you solve for x in the equation 4x - 2 + 75 = 12x + 1?

Back

Combine like terms and isolate x: 4x + 73 = 12x + 1, then 72 = 8x, so x = 9.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal.

Front

What is the definition of corresponding sides in congruent triangles?

Back

Corresponding sides in congruent triangles are the sides that are opposite to equal angles.

Front

If two angles of one triangle are equal to two angles of another triangle, what can be concluded?

Back

The two triangles are similar by the Angle-Angle (AA) similarity criterion.

Front

What is the significance of the SSS (Side-Side-Side) congruence postulate?

Back

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