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]
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]
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
Related questions
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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5d147e0-7277-4ea7-bd2b-ee8deab5f63f%2Fcce77d31-0bfd-4098-8851-2d689c342416%2Favkylxb_processed.jpeg&w=3840&q=75)
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]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning