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Worksheets

Intersection of Secants

Total questions: 22

Worksheet time: 4hrs 8mins

Name
Class
Date
1.

Find the value of x.

a)

45

b)

10

c)

20

d)

90

2.

Find the value of x.

a)

88

b)

38

c)

34

d)

44

3.

Find the value of x.

a)

15

b)

18

c)

21

d)

24

4.

Find the value of x.

a)

20.5

b)

9.5

c)

3

d)

5

5.
Solve for x.
a)
29
b)
33
c)
41.5
d)
50
6.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
7.
Find the measure of angle ABD.
a)
14
b)
51
c)
37
d)
65
8.
What is the measure of angle 1?
a)
130
b)
65
c)
44
d)
86
9.

Find the measure of angle MNQ.

a)

89

b)

158

c)

91

d)

22

10.
Find the measure of ∠ABE.
a)
129⁰
b)
51⁰
c)
100⁰
d)
65⁰
11.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

12.

∠ ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132° , what is the measure of ∠ ABD?

a)

30°

b)

36°

c)

42°

d)

48°

13.

If arc VY = 132° and ∠ YUV = 41° , what is the measure of arc XV?

a)

35°

b)

40°

c)

45°

d)

50°

14.

What is the definition of a chord?

a)

A line segment whose endpoints are on a circle.

b)

A line that passes through the center of the circle.

c)

A line segment that intersects at a point on the circle.

d)

A line that intersects a circle in two points.

15.

What is the definition of a tangent?

a)

A line that intersects the circle on two points.

b)

A line that passes through the center of the circle.

c)

A line segment that passes through the center of the circle.

d)

A line that intersects the circle on only one point.

16.

What is the definition of a secant?

a)

A line segment whose endpoints are on the circle.

b)

A line that intersects a circle in one point.

c)

A line that intersects a circle in two points.

d)

A line segment which intersects the circle at the point of secancy.

17.

What is the point of tangency?

a)

The point where the tangent intersects a circle.

b)

The point where the tangent interssects the center of the circle.

c)

The point where the tangent intersects with another tangent.

d)

The point where the tangent intersects with a secant.

18.
Find the measure of angle ADB.
a)
47.5
b)
85
c)
132.5
d)
180
19.
Solve for x.
a)
140
b)
89
c)
51
d)
38
20.
Find the measure of angle ABD.
a)
14
b)
51
c)
37
d)
65
21.
Solve for x.
a)
10
b)
85
c)
170
d)
180
22.
a)
240
b)
230
c)
205
d)
255