4. Given: Parallelogram ABCD Prove:ZA is supplementary tozD B C Statements Reasons 1. ABCD is a parallelogram 1. Given 2. AB CD 2. 7 3. ZA is supplementary toD 3. If two parallel lines are cut by a transversal then consecutive interior angles are supplementary. Which statement can be used to justify Step 2 in this proof? A. If a quadrilateral is a parallelogram, then opposite sides are parallel. B If a quadrilateral is a parallelogram, then opposite sides are congruent. CIf a quadrilateral is a parallelogram, then the diagonals bisect each other. D. If a quadrilateral is a parallelogram, then opposite angles are congruent.
4. Given: Parallelogram ABCD Prove:ZA is supplementary tozD B C Statements Reasons 1. ABCD is a parallelogram 1. Given 2. AB CD 2. 7 3. ZA is supplementary toD 3. If two parallel lines are cut by a transversal then consecutive interior angles are supplementary. Which statement can be used to justify Step 2 in this proof? A. If a quadrilateral is a parallelogram, then opposite sides are parallel. B If a quadrilateral is a parallelogram, then opposite sides are congruent. CIf a quadrilateral is a parallelogram, then the diagonals bisect each other. D. If a quadrilateral is a parallelogram, then opposite angles are congruent.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.1: Early Definitions And Postulates
Problem 34E: Generalize your findings in Exercise 33. 33. Can you use the construction for the midpoint of a...
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