Unit 4 - Congruent Triangles

Front

What are congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all 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 the symbol '≅' represent in geometry?

Back

The symbol '≅' represents that two figures are congruent.

Front

What is the significance of Alternate Interior Angles in triangle congruence?

Back

Alternate Interior Angles are equal when two parallel lines are cut by a transversal, which can help establish the congruence of triangles.

Front

How do you determine if two triangles are congruent using the SSS criterion?

Back

Two triangles are congruent using the SSS criterion if all three sides of one triangle are equal to the three sides of the other triangle.

Front

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

Back

The ASA criterion 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 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, then the triangles are congruent.

Front

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

Back

The AAS 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, then the triangles are congruent.

Front

What is the Hypotenuse-Leg (HL) criterion for triangle congruence?

Back

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

Front

What is the importance of knowing the measures of angles in triangles?

Back

Knowing the measures of angles in triangles helps in determining congruence and can be used to find missing angles or sides using properties of triangles.