Congruent Triangles Flashcard

Front

What are congruent triangles?

Back

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

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What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a postulate 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

Side-Angle-Side; a postulate 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

Angle-Side-Angle; a postulate 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.

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What does HL stand for in triangle congruence?

Back

Hypotenuse-Leg; a postulate used for 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.

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What is the Reflexive Property?

Back

A property stating that any geometric figure is congruent to itself; used in proving triangle congruence.

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What is the significance of corresponding parts in congruent triangles?

Back

In congruent triangles, corresponding parts (sides and angles) are equal, which helps in proving triangle congruence.

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How can you prove triangles are congruent using SSS?

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By showing that all three sides of one triangle are equal to the three sides of another triangle.

Front

How can you prove triangles are congruent using SAS?

Back

By showing that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

How can you prove triangles are congruent using ASA?

Back

By showing that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.