IXL - Side lengths and angle measures in similar figures (Geometry practice)

△

What is

∠

59°

86°

∠

ref_doc_title.

Learn with an example

question

△

Find

key idea

Two polygons are similar if and only if their corresponding angles are congruent and their corresponding sides are proportional.

solution

Use the fact that

is similar to

to write proportions and solve for

△

To start, find two corresponding sides whose lengths are given:

and

Now write the proportions.

Write a proportion to solve for

. Use

, and its corresponding side

Definition of similarity

Plug in

and

Plug in

and

(

)

Multiply both sides by

(

)

Multiply both sides by

Simplify

So,

Looking for more? Try these:

Lesson: Similarity

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Teacher tools

Work it out

Not feeling ready yet? These can help:

M.3Identify similar figures

G.1Solve proportions

Lesson: Similarity

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