D 2. Using the triangle OMP and the provided steps of the Side-Splitter proof, what is the explanation for th Given: Triangle MOP NQ is parallel to OP NO Prove: PQ QM MN 3 15 M 1. Given: Triangle MOP NQ is parallel to OP 2. Corresponding angles cut by a transversal are congruent: ZNOP = ZMNQ and 2OPQ NQM 3. Angle-Angle Similarity Postulate: AOMP- A MNQ MN 4. Corresponding sides of similar triangles are proportional: мо MQ MP 5. Segment Addition Postulate (part+part=whole): MO = NO + MN MP = QP + MQ MN MQ QP + MQ 6. Substitution: NO + MN egment Addition Postulate
D 2. Using the triangle OMP and the provided steps of the Side-Splitter proof, what is the explanation for th Given: Triangle MOP NQ is parallel to OP NO Prove: PQ QM MN 3 15 M 1. Given: Triangle MOP NQ is parallel to OP 2. Corresponding angles cut by a transversal are congruent: ZNOP = ZMNQ and 2OPQ NQM 3. Angle-Angle Similarity Postulate: AOMP- A MNQ MN 4. Corresponding sides of similar triangles are proportional: мо MQ MP 5. Segment Addition Postulate (part+part=whole): MO = NO + MN MP = QP + MQ MN MQ QP + MQ 6. Substitution: NO + MN egment Addition Postulate
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 35E
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