Congruence Theorem for Mary

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What does ASA stand for in triangle congruence?

Back

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

Back

AAS stands for Angle-Angle-Side, a theorem 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 SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem 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 is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence. It can lead to ambiguous cases where two different triangles can be formed.

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When can you say two triangles are congruent using the ASA theorem?

Back

Two triangles are congruent using the ASA theorem when two angles and the side between them in one triangle are equal to two angles and the corresponding side in another triangle.

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When can you say two triangles are congruent using the SAS theorem?

Back

Two triangles are congruent using the SAS theorem when two sides and the angle between them in one triangle are equal to two sides and the corresponding angle in another triangle.

Front

When can you say two triangles are congruent using the AAS theorem?

Back

Two triangles are congruent using the AAS theorem when two angles and a non-included side in one triangle are equal to two angles and the corresponding non-included side in another triangle.

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What is the significance of the SSS theorem in triangle congruence?

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The SSS theorem is significant because it allows us to prove triangle congruence by showing that all three sides of one triangle are equal to all three sides of another triangle.

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What does 'Not enough information' mean in triangle congruence questions?

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'Not enough information' means that the given data does not provide sufficient conditions to determine if the triangles are congruent.