IXL - Perimeter of polygons with an inscribed circle (Geometry practice)

What is

ref_doc_title.

Learn with an example

question

What is

key idea

and

are two points on a circle and

and

are tangent to the circle, then

and

are congruent.

solution

Look at the diagram:

Find the unknown segment lengths.

and

are tangents to the inscribed circle from

So,

is congruent to

You know

and

. Use the Additive Property of Length to write an equation and find

Additive Property of Length

Plug in

and

Plug in

and

Subtract 9 from both sides

So,

is 10.

and

are tangents to the inscribed circle from

So,

is congruent to

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:

W.10Tangent lines

B.5Additive property of length

S.1Perimeter

Lesson: Tangent to a circle

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