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Tangent Properties in Circles

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Tangent Properties in Circles
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9 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A tangent is a line that _______. 

passes through the center of the circle

intersects the circle at two points

intersects the circle at one point

follows the circumference of a circle

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the measure of segment NQ

5

10

25

7

Tags

CCSS.HSG.C.A.2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Tags

CCSS.HSG.C.A.2

4.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

The diagram shows a circle, centre O.
P, Q, R and S are points on the circumference.
Select all the correct statements.

Angle QPS = Angle QRS = 90, because right angle in a semicircle

Angle SQP=27, because tangent is perpendicular to the radius

Angle PSQ=63, because angle in alternate segment

Angle SPQ=27, because angles in the same segment

Tags

CCSS.HSG.C.A.2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What are the values of w, x and y?

w=26, x=128, y=52

w=32, x=64, y= 26

w=26, x=116, y=54

w=26, x=128, y=62

Tags

CCSS.HSG.C.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A,B, C, and D lie on a circle, centre O.

SCT is a tangent and is parallel to OB.

What are the values of x, y, z and the reflex angle AOC.

x=40, y=20, z=120, reflex angle AOC=130

x=40, y=25, z=115, reflex angle AOC=230

x=40, y=25, z=115, reflex angle AOC=130

x=40, y=25, z=130, reflex angle AOC=230

Tags

CCSS.HSG.C.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the value of x?

x = 160

x = 40

x = 80

x = 360

Tags

CCSS.HSG.C.A.2

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