4.2 and 4.3 Congruent Triangles

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does the Reflexive Property state?

Back

For any geometric figure, it is congruent to itself (e.g., AD = AD).

Front

What is the Angle Bisector?

Back

A line or ray that divides an angle into two equal parts.

Front

What is the definition of a midpoint?

Back

A point that divides a segment into two equal parts.

Front

What does SSS Congruence stand for?

Back

Side-Side-Side Congruence: If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS Congruence stand for?

Back

Side-Angle-Side Congruence: 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

What does ASA Congruence stand for?

Back

Angle-Side-Angle Congruence: If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS Congruence stand for?

Back

Angle-Angle-Side Congruence: If two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, the triangles are congruent.

Front

What does HL Congruence stand for?

Back

Hypotenuse-Leg Congruence: In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.

Front

If ∆ABC ≅ ∆XYZ, what can we conclude about their corresponding angles?

Back

∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z.