3. The figure shows a tiling of the plane by parallelograms, which are quadrilaterals having parallel opposite sides. a. Copy the diagram and mark all angles that must be congruent to Z1 if you reason from Postulate 10. b. Mark any additional angles on the diagram that are also congruent to 21, and tell why they are congruent to 21. c. This exercise suggests a theorem about the opposite angles of a parallelogram. State this theorem.

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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3. The figure shows a tiling of the plane by parallelograms,
which are quadrilaterals having parallel opposite sides.
a. Copy the diagram and mark all angles that must be
congruent to Z1 if you reason from Postulate 10.
b. Mark any additional angles on the diagram that are
also congruent to 21, and tell why they are congruent
to 21.
c. This exercise suggests a theorem about the opposite
angles of a parallelogram. State this theorem.
Transcribed Image Text:3. The figure shows a tiling of the plane by parallelograms, which are quadrilaterals having parallel opposite sides. a. Copy the diagram and mark all angles that must be congruent to Z1 if you reason from Postulate 10. b. Mark any additional angles on the diagram that are also congruent to 21, and tell why they are congruent to 21. c. This exercise suggests a theorem about the opposite angles of a parallelogram. State this theorem.
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