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Class 12
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Cyclic Quadrilateral Property
Cyclic Quadrilateral Property
Theory
Theory
Procedure
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Self Evaluation
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1)
Which of the following are supplementary angles?
20°, 60°
35°, 45°
100°, 80°
40°, 50°
2)
The Opposite angles of a cyclic quadrilateral are complementary
True
False
3)
ABCD is a cyclic quadrilateral such that ∠B = 104°. The tangents A and C meet at a point P. What is the measure of ∠APC?
38°
28°
24°
26°
4)
Side AB and DC of a cyclic quadrilateral ABCD are produced to meet at E and sides AD and BC are produced to meet at F. If ∠ADC = 78º and ∠BEC = 52º, then the measure of ∠AFB is
32º
30º
28º
26º
5)
The sum of all the angles of a cyclic quadrilateral is
180°
360°
90°
270°
6)
A cyclic quadrilateral has all its four vertices on a circle?
Both
False
None of these
True
7)
Which statement stands true for the given cyclic quadrilateral PQRS?
∠P + ∠Q +∠R +∠S = 260°
∠Q + ∠S = 190°
∠P + ∠R = 180°
∠P + ∠R = 90°
8)
Refer below given figure of a cyclic quadrilateral ABCD and find the value of angle D
90°
60°
80°
72°
9)
In the below given figure, if ∠R = 70° and ∠Q = 94°, find ∠P and ∠S
∠P = 86° and ∠S = 110°
∠P = 110° and ∠S = 86°
∠P = 90° and ∠S = 96°
∠P = 96° and ∠S =120°
10)
For a cyclic quadrilateral PQRS, if ∠P = 85°, ∠Q = 60°and ∠R = 95°, find ∠S
90°
120°
99°
95°
11)
In below given figures which of the following is a cyclic quadrilateral?
12)
A cyclic quadrilateral can have its vertices outside or inside the circle?
Both
None of these
False
True