Congruent Triangles 1

Front

What does SAS stand for in the context of triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

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

What is the Angle-Side-Angle (ASA) postulate?

Back

The ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the Side-Side-Side (SSS) postulate?

Back

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

Front

How can you determine if two triangles are congruent using the Hypotenuse-Leg (HL) theorem?

Back

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

Front

What is the significance of the included angle in the SAS postulate?

Back

The included angle is the angle formed between the two sides being compared; it is crucial for establishing congruence using the SAS postulate.

Front

If ∆ABC≅∆XYZ, what can be concluded about the corresponding sides?

Back

If ∆ABC is congruent to ∆XYZ, then AB is congruent to XY, BC is congruent to YZ, and AC is congruent to XZ.

Front

What is the definition of corresponding angles in congruent triangles?

Back

Corresponding angles are angles in two triangles that occupy the same relative position; they are equal in measure when the triangles are congruent.

Front

What is the purpose of using congruence postulates in geometry?

Back

Congruence postulates are used to prove that two triangles are congruent, which helps in solving various geometric problems and proofs.

Front

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

Back

The measure of an angle in a triangle can be found using the triangle sum theorem, which states that the sum of the interior angles of a triangle is always 180 degrees.