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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
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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4. Given: Parallelogram ABCD Prove:ZA is supplementary tozD B Statements Reasons 1. ABCD is a parallelogram 1. Given 2. AB CD 2. ? 3. A is supplementary tozD 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. C. If a quadrilateral is a parallelogram, then the diagonals bisect each other. If a quadrilateral is a parallelogram, then opposite angles are congruent. Powered by Linkit
Transcribed Image Text:4. Given: Parallelogram ABCD Prove:ZA is supplementary tozD B Statements Reasons 1. ABCD is a parallelogram 1. Given 2. AB CD 2. ? 3. A is supplementary tozD 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. C. If a quadrilateral is a parallelogram, then the diagonals bisect each other. If a quadrilateral is a parallelogram, then opposite angles are congruent. Powered by Linkit
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