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Tangent Lines Worksheet

A Grade 10 Math worksheet covering the properties and theorems of tangent lines to circles.

Grade 10 Math GeometryTangent Lines
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSG.C.A.2

Topics

mathgeometrytangent linescirclesgrade 10
7 sections · Free to use · Printable
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Tangent Lines: Properties and Theorems

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Date:

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. A line that intersects a circle at exactly one point is called a:

a

Secant

b

Chord

c

Tangent

d

Radius

2. If a line is tangent to a circle, then it is   to the radius drawn to the point of tangency.

a

parallel

b

perpendicular

c

congruent

d

similar

3. The point where a tangent line touches a circle is called the point of  .

4. If two tangent segments are drawn to a circle from the same external point, then the segments are  .

5. In the diagram below, line AB is tangent to circle O at point A. If OA = 5 cm and OB = 13 cm, find the length of AB.

513OAB

6. A radius drawn to the point of tangency is always perpendicular to the tangent line.

T

True

F

False

7. A line can intersect a circle at three points.

T

True

F

False

8. Two tangent segments, PQ and PR, are drawn to circle S from an external point P. If PQ = 3x + 2 and PR = 5x - 8, find the value of x.

SPQR