5. In the skctch O is the centre of the circle andĆ and D are angles in segment AB of thecircle (or. angles subtended by chord AB).Prove that C=D.(Do not measure C and D, but use knowledge ofGeonietry facts and theorems to show why C=D)Hint: Draw in AO and BO.D.6. In the sketch below ABCD is a cyclicquadrilateral, i.e. a quadrilateral with all fourof its sides chords of the circle.DMeasure cach of the angles:A =B-AComplete:180and also:= 180Therefore:Theangles of a cyclicB.quadrilateral are7. In the sketch PQRS is a cyclic quadrilateral. Complete the following proof, also giving reasons forO is the centre of the circle and Q0 and OSare drawn.statementr where required.0, - 2xangieP(Reason:0, = 2xangle.%3D[Reason:.ô, +ô, =2xangle+2xangleAlso: O, +, =(Reason:2xangke+2xangle.angle+ angle .

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Description: 5. In the skctch O is the centre of the circle andĆ and D are angles in segment AB of thecircle (or. angles subtended by chord AB).Prove that C=D.(Do not measure C and D, but use knowledge ofGeonietry facts and theorems to show why C=D)Hint: Draw in

Given Circle with center O. And ∠C and ∠D are anɡles subtended by same chord AB To prove that ∠C =…

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Geometry

In the sketch O is the centre of the circle and C and D are angies in segment AB of the circle (or. angles subtended by chord AB). 5. Prove that C=D. (Do not measure C and D, but use knowledge of Geonietry facts and theorems to show why C=D) Hint: Draw in AO and BO. D 6. In the sketch below ABCD is a cyclic quadrilateral, ie. a quadrilateral with all four of its sides chords of the circle. Measure cach of the angles: D Complete: 180 and also: 1180 Therefore: The angles of a cyclie B. quadrilateral are 7. In the sketch PQRS is a cyclic quadrilateral. Complete the following proof, also giving reasons for O is the centre of the circle and Q0 and OS are drawn. statementr where required. 0, =2xangie P. [Reason: 0, =2xangle. [Reason: .ô, tỏ, =2xangle +2xangle. Also: O, +ô, = (Reason. 2xangk +2xangle angle + angle

In the sketch O is the centre of the circle and C and D are angies in segment AB of the circle (or. angles subtended by chord AB). 5. Prove that C=D. (Do not measure C and D, but use knowledge of Geonietry facts and theorems to show why C=D) Hint: Draw in AO and BO. D 6. In the sketch below ABCD is a cyclic quadrilateral, ie. a quadrilateral with all four of its sides chords of the circle. Measure cach of the angles: D Complete: 180 and also: 1180 Therefore: The angles of a cyclie B. quadrilateral are 7. In the sketch PQRS is a cyclic quadrilateral. Complete the following proof, also giving reasons for O is the centre of the circle and Q0 and OS are drawn. statementr where required. 0, =2xangie P. [Reason: 0, =2xangle. [Reason: .ô, tỏ, =2xangle +2xangle. Also: O, +ô, = (Reason. 2xangk +2xangle angle + angle

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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5. In the skctch O is the centre of the circle and
Ć and D are angles in segment AB of the
circle (or. angles subtended by chord AB).
Prove that C=D.
(Do not measure C and D, but use knowledge of
Geonietry facts and theorems to show why C=D)
Hint: Draw in AO and BO.
D.
6. In the sketch below ABCD is a cyclic
quadrilateral, i.e. a quadrilateral with all four
of its sides chords of the circle.
D
Measure cach of the angles:
A =
B-
A
Complete:
180
and also:
= 180
Therefore:
The
angles of a cyclic
B.
quadrilateral are
7. In the sketch PQRS is a cyclic quadrilateral. Complete the following proof, also giving reasons for
O is the centre of the circle and Q0 and OS
are drawn.
statementr where required.
0, - 2xangie
P
(Reason:
0, = 2xangle.
%3D
[Reason:
.ô, +ô, =2xangle
+2xangle
Also: O, +, =
(Reason:
2xangke
+2xangle.
angle
+ angle .

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