Congruent Triangle Methods

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What does SSS stand for in triangle congruence?

Back

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

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What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a method of proving triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

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What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method of proving triangle congruence where 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 ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method of proving triangle congruence where two angles and the included side of one triangle are equal to two angles and the corresponding included side 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 method of proving congruence specifically for right triangles, where the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

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What does LA stand for in triangle congruence?

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LA stands for Leg-Angle, a method of proving congruence for right triangles, where one leg and an angle of one triangle are equal to one leg and the corresponding angle of another triangle.

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What does LL stand for in triangle congruence?

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LL stands for Leg-Leg, a method of proving congruence for right triangles, where both legs of one triangle are equal to both legs of another triangle.

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What is the significance of congruent triangles in geometry?

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Congruent triangles are significant because they have the same size and shape, which allows for the application of various geometric principles and theorems.

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Can two triangles be congruent if only one side is equal?

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No, two triangles cannot be congruent if only one side is equal; at least two sides and the included angle or specific congruence methods must be satisfied.

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What is the difference between congruence and similarity in triangles?

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Congruence means that triangles are the same size and shape, while similarity means that triangles have the same shape but may differ in size.