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Understanding Corresponding Angles and Sides in Quadrilaterals

This guide explores the concept of corresponding angles and sides in pairs of quadrilaterals. By examining examples with quadrilaterals ABCD and JKLM, you will learn how to identify and name corresponding angles (e.g., A and J, B and K) and sides (e.g., AB and JK, BC and KL). The congruence of corresponding angles and sides is emphasized. The practice section reinforces these concepts with additional examples involving quadrilaterals EFGH and QRNP, aiding in comprehension of geometric relationships.

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Understanding Corresponding Angles and Sides in Quadrilaterals

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  1. In the frame below, quadrilateral ABCDquadrilateral JKLM. Name all pairs of corresponding angles and sides. = A , J B , K D , M C , L JK KL AB, BC, LM JM CD, AD, EXAMPLE 1 Name Corresponding Parts Picture Frames SOLUTION Corresponding angles are congruent. Corresponding sides are congruent.

  2. 1. In Example 1, quadrilateral EFGH quadrilateral QRNP. Name all pairs of corresponding angles and sides. = E , Q F , R H , P G , N QR RN EF, FG, NP PQ GN, HE, for Example 1 GUIDED PRACTICE SOLUTION Corresponding angles are congruent. Corresponding sides are congruent.

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