Tangent Properties

Tangent Properties

Geometry Chapter 10

Tangent and Radius Property

If a tangent and a radius (or diameter) meet, they are PERPENDICULAR.

Open Ended

If two lines are perpendicular, they form a ____ degree angle.

Example

To find the length of the missing segment, use Pythagorean Theorem!

Multiple Choice

Find the length of the missing segment.

• 12

• 34

• 169

• 13

Two Tangents

If two tangents meet at the same exterior point, the segments are CONGRUENT.

Multiple Choice

How can we solve for x in this example?

• add both expressions together and subtract from 360

• set both expressions equal to each other

• use Pythagorean Theorem

• use magic

• combine like terms

Solve for x.

3x - 10 = 2x +5

x - 10 = 5

x = 15

Multiple Choice

#1 Line AB is tangent to circle C. Find the value of x.

• 98.18

• 117

• 153.3

• 108

Fill in the Blank

#2 Find the value of x.

Multiple Choice

#3 Find the value of x.

• 4.94

• 6.94

• 8.94

• 2.94

Classwork

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