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Mathematics

10th Grade

CCSS covered

Tangent Segment Theorem
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

ATB is a tangent to each circle with centre O. Find the size of each angle.

x = 34°

y = 11°

z = 15°

x = 65°

y = 69°

z = 46°

x = 46°

y = 69°

z = 65°

Tags

CCSS.HSG.C.A.2

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

In the diagram, TP and TQ are tangents to a circle with centre O. Find each value of x

38

52

90

72

Tags

CCSS.HSG.C.A.2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

In the diagram, TP and TQ are tangents to a circle with centre O. Find each value of x

70

110

140

90

Tags

CCSS.HSG.C.A.2

4.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

Identify which circle theorems you could use to solve each question

Angle between tangent and radius is 90°

Angle is in semicircle is 90°

Opposite angles of cyclic quadrilateral add to 180°

Angle is same segment are equal

Two angles in isoceles triangle the same

Tags

CCSS.HSG.C.A.2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)

15

6

-24

14

Tags

CCSS.HSG.C.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the length of the missing segment.

12

34

169

13

Tags

CCSS.HSG.C.A.2

7.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

Identify which circle theorems you could use to solve each question

Angle between tangent and radius is 90°

Angle is in semicircle is 90°

Opposite angles of cyclic quadrilateral add to 180°

Angle is same segment are equal

Angles of quadrilateral add to 360°

Tags

CCSS.HSG.C.A.2

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