Triangle Congruence

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

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What is the meaning of 'consecutive' in geometry?

Back

In geometry, 'consecutive' means one right after the other, referring to angles or sides that follow one another in a sequence.

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Back

Front

If two triangles have two pairs of equal angles, what can be concluded about the triangles?

Back

If two triangles have two pairs of equal angles, they are congruent by the AAS theorem.

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What is the significance of the included angle in the SAS theorem?

Back

The included angle in the SAS theorem is the angle formed between the two sides being compared; it is crucial for establishing congruence.

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How can you prove that triangles are not congruent?

Back

To prove that triangles are not congruent, you can show that at least one pair of corresponding sides or angles is not equal.

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What is the relationship between AAA and triangle congruence?

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AAA (Angle-Angle-Angle) does not prove triangle congruence because it only shows that the triangles are similar, not necessarily congruent.