BGiven: ABCD is a parallelogram, AC = BD.Prove: ABCD is a rectangle.DStatementReason1.ABCD is a parallelogram, AC BD.Given2. AD = BC3. CD = CD4. AADC = ABCD5. LADC = LBCD6. LADC LABCZBCD LDAB7. LABC LDAB8. MLABC + MLDAB =9. 2MLABC1.2.3.4.5.Substitution180°6.180°7.%3D10. MLABC = 90°8.11. ZABC is right angleMultiplication Property of Equality12. MLABC = M

Given: ABCD is a parallelogram, AC BD. Prove: ABCD is a rectangle. Statement Reason 1. ABCD is a parallelogram, ACBD. 2. AD BC 3. CD CD 4. AADC ABCD 5. LADC LBCD 6. LADC LABC LBCD LDAB 7. LABC LDAB 8. MLABC + M2DAB 9. 2MLABC = 180° Given 1. 2. 3. 4. 5. Substitution = 180° 6. 7. = 90° 11. ZABC is right angle 12. MLABC = M

Given: ABCD is a parallelogram, AC BD. Prove: ABCD is a rectangle. Statement Reason 1. ABCD is a parallelogram, ACBD. 2. AD BC 3. CD CD 4. AADC ABCD 5. LADC LBCD 6. LADC LABC LBCD LDAB 7. LABC LDAB 8. MLABC + M2DAB 9. 2MLABC = 180° Given 1. 2. 3. 4. 5. Substitution = 180° 6. 7. = 90° 11. ZABC is right angle 12. MLABC = M

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.CR: Review Exercises

Problem 25CR: Given: ABC is isosceles with base AB AB=y+7BC=3y+5AC=9y Find: Whether ABC is also equilateral...

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