Cyclic Quadrilaterals and Circumscribed Angles
Authored by Juan Tolentino
Mathematics
10th Grade
CCSS covered
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20 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Find the sizes of the lettered angles in each of these circles
a = 50, b = 95
a = 85, b = 130
a = 95, b = 50
a = 130, b = 85
Tags
CCSS.HSG.C.A.2
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Find the sizes of the lettered angles in each of these circles
c = 92, x = 90
c = 180, x = 77
c = 88, x = 88
c = 88, x = 92
Tags
CCSS.HSG.C.A.2
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Find the sizes of the lettered angles in each of these circles
g = 105, h = 99
g = 81, h = 105
g = 99, h = 105
g = 105, h = 81
Tags
CCSS.HSG.C.A.2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The sum of either pair of opposite angles of a cyclic quadrilateral is _______.
80⁰
90⁰
180⁰
360⁰
Answer explanation
The sum of either pair of opposite angles of a cyclic quadrilateral is 180⁰ and the total sum of all 4 angles is 360⁰ Hence, option 3 is the correct answer.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the given figure, find the value of x.
70⁰
110⁰
180⁰
90⁰
Answer explanation
We know that sum of pair of opposite angles of a cyclic quadrilateral is 180⁰. ∴ ∠A + ∠C = 180⁰ 110⁰ + ∠C = 180⁰ ∠C = 180⁰ - 110⁰ ∠C = 70⁰ Hence, option 1 is the correct answer.
Tags
CCSS.HSG.C.A.2
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
∠x + ∠y =
45°
900°
180°
360°
Tags
CCSS.HSG.C.A.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
x =
30°
40°
50°
60°
Tags
CCSS.HSG.C.A.2
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