Triangle Congruence Proofs

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What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangle congruence where two angles and a non-included side are known.

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What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a method to prove triangle congruence where two sides and the included angle are known.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method to prove triangle congruence where two angles and the included side are known.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a method to prove triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

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What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a method to prove congruence specifically for right triangles, where the hypotenuse and one leg are known.

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What is the Reflexive Property in geometry?

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What is the Midpoint Theorem?

Back

The Midpoint Theorem states that the segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence and can lead to ambiguous cases.

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How can you prove two triangles are congruent using AAS?

Back

To prove triangles are congruent using AAS, show that two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

How can you prove two triangles are congruent using SAS?

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To prove triangles are congruent using SAS, show that two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.