#5.2 Congruent Polygons

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What are congruent polygons?

Back

Congruent polygons are polygons that have the same shape and size. This means that their corresponding sides and angles are equal.

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What does the symbol '≅' represent in geometry?

Back

The symbol '≅' indicates that two figures are congruent.

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What is the importance of order in congruence statements?

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The order of the vertices in congruence statements matters because it indicates which angles and sides correspond to each other.

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If ΔABC ≅ ΔXYZ, what can we conclude about the corresponding angles?

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We can conclude that ∠A ≅ ∠X, ∠B ≅ ∠Y, and ∠C ≅ ∠Z.

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

Back

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

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

Back

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

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

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The AA Similarity Postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar, but not necessarily congruent.

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How can you prove that two polygons are congruent?

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To prove that two polygons are congruent, you can show that their corresponding sides and angles are equal using congruence postulates or theorems.

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What is the definition of corresponding sides in congruent polygons?

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Corresponding sides in congruent polygons are the sides that are in the same relative position in each polygon.