HW 4.4#1 Triangle Congruence

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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 the non-included side of one triangle are equal to the corresponding parts of another triangle.

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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 the corresponding parts of another triangle.

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What does SSS stand for in triangle congruence?

Back

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 the corresponding sides of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

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 the corresponding parts of another triangle.

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What does HL stand for in triangle congruence?

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HL stands for Hypotenuse-Leg, a theorem used to prove that two right triangles are congruent if the hypotenuse and one leg of one triangle are equal to the corresponding parts of another triangle.

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When can you use the AAS postulate?

Back

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

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When can you use the SAS postulate?

Back

You can use the SAS postulate 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 postulate?

Back

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

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When can you use the ASA postulate?

Back

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

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What is the significance of triangle congruence?

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Triangle congruence is significant because it allows us to determine that two triangles are identical in shape and size, which is essential in various applications in geometry and real-world problems.