Triangle Congruence

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What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle: A triangle is congruent if two angles and the included side are equal to two angles and the included side of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side: A triangle is congruent if two angles and a non-included side are equal to two angles and a corresponding non-included side of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side: A triangle is congruent if two sides and the included angle are equal to two sides and the included angle of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side: A triangle is congruent if all three sides are equal to the corresponding sides of another triangle.

Front

What does HL stand for in triangle congruence?

Back

Hypotenuse-Leg: A triangle is congruent if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle.

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When can you use the ASA theorem?

Back

You can use the ASA theorem when you know two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Front

When can you use the AAS theorem?

Back

You can use the AAS theorem when you know two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

When can you use the SAS theorem?

Back

You can use the SAS theorem when you know two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

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When can you use the SSS theorem?

Back

You can use the SSS theorem when you know all three sides of one triangle are equal to the corresponding sides of another triangle.

Front

When can you use the HL theorem?

Back

You can use the HL theorem when you are dealing with right triangles and know the lengths of the hypotenuse and one leg.