Quadrilateral FGHJ and circle O are shown. •0 G Not drawn to scale Given: mZHJF = 84°. Which statement, if true, would help prove that quadrilateral FGHJ is inscribed in Circle O and why? A. MZJFG = 84°; for a quadrilateral inscribed in a circle, adjacent angles are congruent. B. MZJFG = 96°; for a quadrilateral inscribed in a circle, adjacent angles are supplementary. C. m/FGH=84°; for a quadrilateral inscribed in a circle, opposite angles are congruent. D. m/FGH=96°; for a quadrilateral inscribed in a circle, opposite angles are supplementary. %3D

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter3: Triangles
Section3.CT: Test
Problem 16CT
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Quadrilateral FGHJ and circle O are shown.
G
Not drawn to scale
Given: m/HJF = 84°.
Which statement, if true, would help prove that quadrilateral FGHJ is inscribed in Circle O and why?
A. MZJFG = 84°; for a quadrilateral inscribed in a circle, adjacent angles are congruent.
B. MZJFG = 96°; for a quadrilateral inscribed in a circle, adjacent angles are
supplementary.
C. m/FGH = 84°; for a quadrilateral inscribed in a circle, opposite angles are congruent.
D. m/FGH=96°; for a quadrilateral inscribed in a circle, opposite angles are
supplementary.
Transcribed Image Text:Quadrilateral FGHJ and circle O are shown. G Not drawn to scale Given: m/HJF = 84°. Which statement, if true, would help prove that quadrilateral FGHJ is inscribed in Circle O and why? A. MZJFG = 84°; for a quadrilateral inscribed in a circle, adjacent angles are congruent. B. MZJFG = 96°; for a quadrilateral inscribed in a circle, adjacent angles are supplementary. C. m/FGH = 84°; for a quadrilateral inscribed in a circle, opposite angles are congruent. D. m/FGH=96°; for a quadrilateral inscribed in a circle, opposite angles are supplementary.
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