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a quadrilateral is inscribed in a circle, then its opposite angles are upplementary. Given: EFGD is inscribed in circle C. Prove: F and D are supplementary Proof: Statements EFGD is inscribed in circle C EFG and EDG makes up the whole circle so MEFG + MEDG = 360 Reasons Given Definition of Inscribed angles By substitution mzD + mzF = (MEFG + MEDG) By substitution ZF and ZD are supplementary

a quadrilateral is inscribed in a circle, then its opposite angles are upplementary. Given: EFGD is inscribed in circle C. Prove: F and D are supplementary Proof: Statements EFGD is inscribed in circle C EFG and EDG makes up the whole circle so MEFG + MEDG = 360 Reasons Given Definition of Inscribed angles By substitution mzD + mzF = (MEFG + MEDG) By substitution ZF and ZD are supplementary

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.
Chapter1: Line And Angle Relationships
Section1.CR: Review Exercises
Problem 46CR
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Complete the proof for this theorem using a two-column proof. If a quadrilateral is inscribed in a circie, then its opposite angles are supplementary. Given: EFGD is inscribed in circle C. Prove: F and <D are supplementary Proof: Statements EFGD is inscribed in circle C EFG and EDG makes up the whole circle so MEFG + MEDG = 360 Reasons Given Definition of Inscribed angles By substitution mzD+ mzF mEFG + MEDG) By substitution ZF and ZD are supplementary
Transcribed Image Text:Complete the proof for this theorem using a two-column proof. If a quadrilateral is inscribed in a circie, then its opposite angles are supplementary. Given: EFGD is inscribed in circle C. Prove: F and <D are supplementary Proof: Statements EFGD is inscribed in circle C EFG and EDG makes up the whole circle so MEFG + MEDG = 360 Reasons Given Definition of Inscribed angles By substitution mzD+ mzF mEFG + MEDG) By substitution ZF and ZD are supplementary
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