Triangle Congruence 4 -2

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are congruent if they have the same size and shape, which can be proven using various congruence criteria.

Front

List the criteria for triangle congruence.

Back

1. Side-Side-Side (SSS) Congruence 2. Side-Angle-Side (SAS) Congruence 3. Angle-Side-Angle (ASA) Congruence 4. Angle-Angle-Side (AAS) Congruence 5. Hypotenuse-Leg (HL) Congruence (for right triangles)

Front

If ∆ABC ≅ ∆XYZ, what can we conclude about the sides and angles?

Back

AB ≅ XY, BC ≅ YZ, AC ≅ XZ and ∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z.

Front

What does the notation ∆ABC ≅ ∆XYZ signify?

Back

It signifies that triangle ABC is congruent to triangle XYZ.

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

The triangles are congruent by the Angle-Angle (AA) criterion.

Front

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

Back

If two sides of one triangle are equal to two sides of another triangle, and the included angle is equal, then the triangles are congruent.

Front

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

Back

If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

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

Back

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 Hypotenuse-Leg (HL) criterion?

Back

For right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the triangles are congruent.

Front

If ∠E ≅ ∠A, what can be inferred about triangles that include these angles?

Back

If the triangles are congruent, then the corresponding sides opposite these angles are also equal.