Reorder the steps of the proof to make sure that steps that are logically dependent on prior steps are in the proper order. Given: ED FD, AE L EC and CF L AF. Prove: AADE = ACDF. Step Statement Reason ED FD AE EC Given CF AF ZE is a right angle Perpendicular lines form right angles ZE ZF All right angles are congruent 3. ZF is a right angle Perpendicular linus form right angles AADE ACDF ASA 9. ZADE LCDF Vertical angles are congrinent 2.
Reorder the steps of the proof to make sure that steps that are logically dependent on prior steps are in the proper order. Given: ED FD, AE L EC and CF L AF. Prove: AADE = ACDF. Step Statement Reason ED FD AE EC Given CF AF ZE is a right angle Perpendicular lines form right angles ZE ZF All right angles are congruent 3. ZF is a right angle Perpendicular linus form right angles AADE ACDF ASA 9. ZADE LCDF Vertical angles are congrinent 2.
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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Reorder the steps of the proof to make sure that steps that are logically dependent on
prior steps are in the proper order.
Given: ED = FD, AE 1 EC and CF L AF.
Prove: AADE = ACDF.
Step
Statement
Reason
ED= FD
AE IEC
Given
CFI AF
ZE is a right angle
Perpendicular lines form right angles
ZEN ZE
All right angles are congruent
3
ZF is a right angle
Perpendicular linas formi right angles
4.
AADE ACDF
ASA
5
ZADE LCDF
Vertical angles are congrueat
D
K
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