Triangle Congruence Review FA23

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What does ASA stand for in triangle congruence?

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ASA stands for Angle-Side-Angle, a postulate used to prove that two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate used to prove that two triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does SSS stand for in triangle congruence?

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SSS stands for Side-Side-Side, a postulate used to prove that two triangles are congruent if all three sides of one triangle are equal to all three sides of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate used to prove that two triangles are congruent 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.

Front

What does SSA stand for in triangle congruence?

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SSA stands for Side-Side-Angle, which does not guarantee triangle congruence and is often referred to as the 'Ambiguous Case'.

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What additional information is needed to prove triangles are congruent by AAS?

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To prove triangles are congruent by AAS, you need to know one side length that is not included between the two angles.

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If two triangles have two angles equal, what can be said about their third angles?

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If two triangles have two angles equal, their third angles are also equal due to the Triangle Sum Theorem.

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What is the Triangle Sum Theorem?

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The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

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How can you prove triangles are congruent using the SSS postulate?

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To prove triangles are congruent using the SSS postulate, show that all three sides of one triangle are equal to all three sides of another triangle.

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How can you prove triangles are congruent using the SAS postulate?

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