Triangle Congruence Review

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What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

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What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

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What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for 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 SSS stand for in triangle congruence?

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

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What is the significance of the transformation 'reflection'?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

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What is the significance of the transformation 'rotation'?

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Rotation is a transformation that turns a figure around a fixed point at a certain angle.

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What is the difference between a rotation of 90 degrees clockwise and 90 degrees counterclockwise?

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A 90 degrees clockwise rotation turns the figure to the right, while a 90 degrees counterclockwise rotation turns it to the left.

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What is a composition of transformations?

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A composition of transformations involves applying two or more transformations to a figure in sequence.

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How can you determine if two triangles are congruent?

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You can determine if two triangles are congruent by comparing their corresponding sides and angles using congruence criteria (ASA, SAS, SSS, etc.).

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What is the role of the x-axis in transformations?

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The x-axis can be used as a line of reflection, where points above the x-axis are reflected to points below it, and vice versa.