Circle Properties And Coordinate Geometry I

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| By Yonghs

Yonghs

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Quizzes Created: 2 | Total Attempts: 2,728

Questions: 10 | Attempts: 955 | Updated: Mar 21, 2023

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Circle Properties And Coordinate Geometry I - Quiz

Recall:
tangent perpendicular to radius.
tangents meet at a point equidistant from circumference. (isos. Triangle)
alt seg thm
angle at ctr = 2 angle at circumf. . .
y-axis is x=0. So, lines parallel to y axis are x =? . . .
x-axis is y=0.
parallel lines have same gradient.
product of gradient of perpendicular lines is -1.

Questions and Answers

1.
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Correct Answer
C. C

Explanation
OBC=OAC=90 (tangent perpendicular to radius)
AOB=360-180-60 (angle sum of quad)

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1
0
2.
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Correct Answer
D. D

Explanation
DAB=68 (alt seg thm)
DCB=180-68 (opp angles of cyclic quad)

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3.
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  A
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Correct Answer
A. A

Explanation
DAB=68(alt seg thm)
BAE=64(alt seg thm)

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1
1
4.
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Correct Answer
C. C

Explanation
BAE=ABE=64(alt seg thm)
AEB=180-64-64(angle sum of triangle)

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5.
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  A
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Correct Answer
B. B

Explanation
AC=AB (isos triangle)
ABC=(180-60)/2

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6.
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  A
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  B
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Correct Answer
D. D

Explanation
pythagoras'
sqrt (8^2+6^2)
13-5=8
6-0=6

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7.
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Correct Answer
D. D

Explanation
(2+12)/2=7
(-5+13)/2=4

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8.
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  A
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  B
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Correct Answer
D. D
9.
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Correct Answer
A. A

Explanation
y=3x+c
5=3(1)+c
c=2

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10.
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  A
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  B
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Correct Answer
D. D

Explanation
grad = 2
perpendicular grad = -1/2
y= -1/2 x + c
-1= -1/2 (-4) + c
c = -1 - 2

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Current Version
Mar 21, 2023

Quiz Edited by
ProProfs Editorial Team
Jun 06, 2010

Quiz Created by
Yonghs