4.6 Solving with Congruent Triangles

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on different parallel lines cut by a transversal. They are equal in measure.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles 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 Angle-Angle (AA) criterion for triangle congruence?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are congruent.

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

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

Front

What is the Side-Angle-Side (SAS) criterion for triangle congruence?

Back

The SAS criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

How do you find the measure of an angle in a triangle if two angles are known?

Back

To find the measure of an unknown angle in a triangle, subtract the sum of the known angles from 180º, since the sum of angles in a triangle is always 180º.

Front

If ΔABC ≅ ΔDEF, what can be said about the angles?

Back

If ΔABC is congruent to ΔDEF, then angle A = angle D, angle B = angle E, and angle C = angle F.

Front

What is the relationship between the sides of congruent triangles?

Back

In congruent triangles, the lengths of corresponding sides are equal.

Front

Given that PR = 2x + 6 and JL = 10 units in congruent triangles, how do you find x?

Back

Set PR equal to JL: 2x + 6 = 10. Solve for x to find x = 2.