IXL - Tangent lines (Geometry practice)

is tangent to

⨀U

What is UW?

16 in

12 in

ref_doc_title.

Learn with an example

question

is tangent to

⨀K

What is

∠

46°

∠

key idea

is the center of a circle and

is a point on that circle, then

is tangent to

⨀C

if and only if

is perpendicular to

solution

Look at the diagram.

46°

Since

is tangent to

⨀K

△

MNP

is a right triangle with right angle

∠

So,

∠

and

∠

are complementary. Write an equation setting the sum of their measures equal to 90°, and solve for

∠

90°

46°

∠

Plug in

∠

46°

90°

Plug in

∠

46°

∠

Subtract 46° from both sides

44°

Subtract 46° from both sides

∠

is 44°.

Looking for more? Try these:

Lesson: Tangent to a circle

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Teacher tools

Work it out

Not feeling ready yet? These can help:

P.1Pythagorean theorem

DD.5Complementary and supplementary angles

Lesson: Tangent to a circle

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