AB©D 7. Which of the following statements is TRUE about an inscribed angle? I. Inscribed angle that intercepts a semicircle is a right angle. II. If two inscribed angles are congruent, then their corresponding intercepted arcs are congruent. II. Opposite angles of a quadrilateral are supplementary. IV. The measure of an arc intercept by an inscribed angle is twice the measure of the inscribed angle A. I, II, & II only B. II, II & Il only C. II, II & IV only D. I, II & IV only ©D 8. In 00 at the right, Keith stated that MLBOC = 60°. Which of the theorems/postulates below justifies Keith's conclusion? A Theorems on the intercepted arc and inscribed angle B. Central angle -Intercepted Arc Postulate C. Theorem on Congruent Arcs D. Theorem on the Congruent circles 60° A Jumarc and Dexter wrote their conclusions below about the chords in OF. Who is correct? Dexter Jumarc Because DG 1 BC, LBHD = ZBHG = LCHD LCHG and DG bisects BC, DG 1 BC, but DG does not bisect BC since it is not a diameter. A. Only Dexter is correct since the two segments are perpendicular. B. Only Jumarc is correct, because DG does not contain the radius of the circle. C. Both of them are correct since the two segments are perpendicular. D. Neither of them is correct since DG does not nass through the contor of tho girolo

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
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Question
I. 7-9
ABCD 7. Which of the following statements is TRUE about an inscribed angle?
I. Inscribed angle that intercepts a semicircle is a right angle.
II. If two inscribed angles are congruent, then their corresponding intercepted arcs are congruent.
II. Opposite angles of a quadrilateral are supplementary.
IV. The measure of an arc intercept by an inscribed angle is twice the measure of the inscribed angle
A. I, II, & III only
B. II, III & III only
C. II, III & IV only
D. I, II & IV only
®©O 8.
In 00 at the right, Keith stated that MLBOC = 60°. Which of the
theorems/postulates below justifies Keith's conclusion?
A Theorems on the intercepted arc and inscribed angle
B. Central angle -Intercepted Arc Postulate
C. Theorem on Congruent Arcs
D. Theorem on the Congruent circles
60°
9.
Jumarc and Dexter wrote their conclusions below about the chords in OF. Who is correct?
D
Dexter
Jumarc
Because DG 1 BC, LBHD =
LBHG = LCHD LCHG and
DG bisects BC,
DG 1 BC, but DG does not bisect
BC since it is not a diameter.
A. Only Dexter is correct since the two segments are perpendicular.
B. Only Jumarc is correct, because DG does not contain the radius of the circle.
C. Both of them are corect since the two segments are perpendicular.
D. Neither of them is correct since DG does not pass through the center of the circle.
Transcribed Image Text:ABCD 7. Which of the following statements is TRUE about an inscribed angle? I. Inscribed angle that intercepts a semicircle is a right angle. II. If two inscribed angles are congruent, then their corresponding intercepted arcs are congruent. II. Opposite angles of a quadrilateral are supplementary. IV. The measure of an arc intercept by an inscribed angle is twice the measure of the inscribed angle A. I, II, & III only B. II, III & III only C. II, III & IV only D. I, II & IV only ®©O 8. In 00 at the right, Keith stated that MLBOC = 60°. Which of the theorems/postulates below justifies Keith's conclusion? A Theorems on the intercepted arc and inscribed angle B. Central angle -Intercepted Arc Postulate C. Theorem on Congruent Arcs D. Theorem on the Congruent circles 60° 9. Jumarc and Dexter wrote their conclusions below about the chords in OF. Who is correct? D Dexter Jumarc Because DG 1 BC, LBHD = LBHG = LCHD LCHG and DG bisects BC, DG 1 BC, but DG does not bisect BC since it is not a diameter. A. Only Dexter is correct since the two segments are perpendicular. B. Only Jumarc is correct, because DG does not contain the radius of the circle. C. Both of them are corect since the two segments are perpendicular. D. Neither of them is correct since DG does not pass through the center of the circle.
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