Understanding Triangle Congruency

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What is Triangle Congruency?

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Triangle congruency 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 it mean if two triangles are congruent?

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If two triangles are congruent, it means that all corresponding sides and angles are equal, allowing them to be superimposed on each other.

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What is the Isosceles Triangle Theorem?

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The Isosceles Triangle Theorem states that if two sides of a triangle are equal, then the angles opposite those sides are also equal.

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What is the Angle-Side-Angle (ASA) Congruence Postulate?

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The ASA Congruence Postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

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What is the Side-Angle-Side (SAS) Congruence Postulate?

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The SAS Congruence Postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

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What is the Side-Side-Side (SSS) Congruence Postulate?

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The SSS Congruence Postulate states that if all three sides of one triangle are equal to all three sides of another triangle, then the two triangles are congruent.

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What is the Angle-Angle-Angle (AAA) Similarity Postulate?

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The AAA Similarity Postulate states that if two triangles have equal corresponding angles, they are similar, but not necessarily congruent.

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What is the definition of a scalene triangle?

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A scalene triangle is a triangle in which all three sides are of different lengths and all three angles are of different measures.

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What is the definition of an equilateral triangle?

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An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal, each measuring 60 degrees.

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