Fill in the missing statement and reason of the proof below. Given: ABCD is a parallelogram, ED bisects ZADC and FB bisects ZABC. Prove: AADE ACBF. Step Statement Reason ABCD is a parallelogram ED bisects LADC Given FB bisects LABC ZADC E LABC Opposite angles of a parallelogram are congruent 2. MZADE = }LADC When an angle is bisected, each part is half the measure of the whole angle 3 m/CBF = }LABC When an angle is bisected, each part is half the measure of the whole angle 4 Type of Statement AD BC Opposite sides of a parallelogram are congruent ZA ZC Opposite angles of a parallelogram are congruent AADE ACBF ASA F A. E Note: AB and DC are segments.
Fill in the missing statement and reason of the proof below. Given: ABCD is a parallelogram, ED bisects ZADC and FB bisects ZABC. Prove: AADE ACBF. Step Statement Reason ABCD is a parallelogram ED bisects LADC Given FB bisects LABC ZADC E LABC Opposite angles of a parallelogram are congruent 2. MZADE = }LADC When an angle is bisected, each part is half the measure of the whole angle 3 m/CBF = }LABC When an angle is bisected, each part is half the measure of the whole angle 4 Type of Statement AD BC Opposite sides of a parallelogram are congruent ZA ZC Opposite angles of a parallelogram are congruent AADE ACBF ASA F A. E Note: AB and DC are segments.
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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What statement and reason for step number 5 will help prove how you got the the 8th step ?
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