A figure is shown.LA.ВMGiven: LA MB, BL || AMWhich statement about quadrilateral LAMB is true?Quadrilateral LAMB is a parallelogram because opposite sides are parallel.Quadrilateral LAMB is a parallelogram because opposite sides are congruent.Quadrilateral LAMB is not a parallelogram because the diagonals do not biset each other.Quadrilateral LAMB is not a parallelogram because one pair of sides must be both parallel and congruent.

Answered: A figure is shown. L B M Given: LA MB,…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Find a counterexample for each statement. 1: A quadrilateral has four congruent sides. 2: Two right angles create a linear pair. 3: Coplanar points lie on the same line. Edit View Insert Format Tools Table 12pt v Paragraph v BIU 2 Tv
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B Given: ABCD is a parallelogram, AC = BD. Prove: ABCD is a rectangle. D Statement Reason 1. ABCD is a parallelogram, AC BD. Given 2. AD = BC 3. CD = CD 4. AADC = ABCD 5. LADC = LBCD 6. LADC LABC ZBCD LDAB 7. LABC LDAB 8. MLABC + MLDAB = 9. 2MLABC 1. 2. 3. 4. 5. Substitution 180° 6. 180° 7. %3D 10. MLABC = 90° 8. 11. ZABC is right angle Multiplication Property of Equality 12. MLABC = M

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