Triangle Congruence Practice

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What does SSS stand for in Triangle Congruence?

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

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What does AAS stand for in Triangle Congruence?

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AAS stands for Angle-Angle-Side, a theorem stating that 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, then the triangles are congruent.

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What does ASA stand for in Triangle Congruence?

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

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What does SSA stand for in Triangle Congruence?

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SSA stands for Side-Side-Angle, which does not guarantee triangle congruence and is often referred to as the 'Ambiguous Case'.

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What does HL stand for in Triangle Congruence?

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HL stands for Hypotenuse-Leg, a theorem applicable to right triangles stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

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What is CPCTC?

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CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, a principle used to prove that corresponding sides and angles of congruent triangles are equal.

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What is the Reflexive Property?

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The Reflexive Property states that any geometric figure is congruent to itself, meaning that for any triangle ∆, ∆ ≅ ∆.

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What is the Definition of Midpoint?

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The midpoint of a segment is the point that divides the segment into two equal parts.

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How can you prove triangles are congruent using SSS?

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To prove triangles are congruent using SSS, show that all three sides of one triangle are equal to the three sides of another triangle.

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How can you prove triangles are congruent using AAS?

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To prove triangles are congruent using AAS, show that two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.