10.2 In the diagram, ST and VT are tangents to the circle at S and V respectively. R is a point on the circle and W is a point on chord RS such that WT is parallel to RV. SV and WV are drawn. WT intersects SV at K. Let S₂ = =x. R 10.2.1 1 S 2 W 3 12 1 x 23 4 37K 2 1 3 Write down, with reasons, THREE other angles EACH equal to x. 10.2.2 Prove, with reasons, that: (a) WSTV is a cyclic quadrilateral (b) AWRV is isosceles (c) AWRV ||| ATSV (d) RV = SR TS KV 2 (6) (2) (4) (3) (4) [25]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 48E
Question
10.2
In the diagram, ST and VT are tangents to the circle at S and V respectively.
R is a point on the circle and W is a point on chord RS such that WT is parallel
to RV. SV and WV are drawn. WT intersects SV at K. Let S₂ =
=x.
R
10.2.1
1
S
2
W 3
12
1
x
23
4
37K
2
1
3
Write down, with reasons, THREE other angles EACH equal to x.
10.2.2
Prove, with reasons, that:
(a) WSTV is a cyclic quadrilateral
(b) AWRV is isosceles
(c)
AWRV ||| ATSV
(d)
RV
=
SR TS
KV
2
(6)
(2)
(4)
(3)
(4)
[25]
Transcribed Image Text:10.2 In the diagram, ST and VT are tangents to the circle at S and V respectively. R is a point on the circle and W is a point on chord RS such that WT is parallel to RV. SV and WV are drawn. WT intersects SV at K. Let S₂ = =x. R 10.2.1 1 S 2 W 3 12 1 x 23 4 37K 2 1 3 Write down, with reasons, THREE other angles EACH equal to x. 10.2.2 Prove, with reasons, that: (a) WSTV is a cyclic quadrilateral (b) AWRV is isosceles (c) AWRV ||| ATSV (d) RV = SR TS KV 2 (6) (2) (4) (3) (4) [25]
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