Chapter 4 Triangle Congruence TEST

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem stating that 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 stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem stating that 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 stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem stating 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

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem applicable to right triangles stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

What is the significance of rigid motions in triangle congruence?

Back

Rigid motions (translations, rotations, reflections) preserve distance and angle measures, ensuring that if one triangle can be transformed into another through these motions, the triangles are congruent.

Front

If m∠BHG = 100°, what can be inferred about m∠CED if they are corresponding angles?

Back

If m∠BHG = 100° and m∠CED are corresponding angles, then m∠CED = 100° as well.

Front

How can you determine if two triangles are congruent using a diagram?

Back

By comparing the lengths of corresponding sides and the measures of corresponding angles in the diagram, you can apply congruence theorems (SSS, SAS, ASA, AAS, HL) to determine if the triangles are congruent.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

In congruent triangles, all corresponding parts (sides and angles) are equal, meaning if two triangles are congruent, their corresponding sides and angles are congruent.