Congruent Triangles

Front

What are congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What is the criteria for triangle congruence?

Back

The criteria for triangle congruence include: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

What does CPCTC stand for?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent', which is used to prove that corresponding angles and sides of congruent triangles are equal.

Front

How do you find the measure of an angle in a triangle?

Back

To find the measure of an angle in a triangle, you can use the fact that the sum of the interior angles in a triangle is always 180 degrees.

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 non-adjacent interior angles.

Front

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

Back

If two angles are congruent, their measures are equal.

Front

What is the relationship between the sides of congruent triangles?

Back

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

Front

How can you prove that two triangles are congruent using SAS?

Back

To prove two triangles are congruent using SAS, show that two sides of one triangle are equal to two sides of another triangle, and the angle between those sides is also equal.

Front

What is the significance of the AAS congruence criterion?

Back

The AAS (Angle-Angle-Side) criterion 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, the triangles are congruent.

Front

How do you solve for x in a triangle?

Back

To solve for x in a triangle, you can use the properties of triangles, such as the sum of angles, congruence criteria, or the Exterior Angle Theorem.