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

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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4. Quadrilateral FGHJ and circle O are shown.
Given: m2H]F = 84°
Which statement, if true, would help prove that quadrilateral
FGHJ is inscribed in Circle O and why?
A. MLJFG = 84°; for a quadrilateral inscribed in a circle,
adjacent angles are congruent.
B. MLJFG = 96°; for a quadrilateral inscribed in a circle,
adjacent angles are supplementary.
C. MLFGH = 84°; for a quadrilateral inscribed in a circle,
opposite angles are congruent.
D. MLFGH = 96°; for a quadrilateral inscribed in a circle,
opposite angles are supplementary.
•0
G
H.
Not drawn to scale
Transcribed Image Text:4. Quadrilateral FGHJ and circle O are shown. Given: m2H]F = 84° Which statement, if true, would help prove that quadrilateral FGHJ is inscribed in Circle O and why? A. MLJFG = 84°; for a quadrilateral inscribed in a circle, adjacent angles are congruent. B. MLJFG = 96°; for a quadrilateral inscribed in a circle, adjacent angles are supplementary. C. MLFGH = 84°; for a quadrilateral inscribed in a circle, opposite angles are congruent. D. MLFGH = 96°; for a quadrilateral inscribed in a circle, opposite angles are supplementary. •0 G H. Not drawn to scale
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