IXL - Side lengths in similar figures (Geometry practice)

or

△

C

D

E

~

△

H

I

G

.

Find

H

I

.

2

2

1

C

D

E

7

H

I

G

H

I

=

ref_doc_title.

or

Learn with an example

question

△

D

E

F

~

△

U

V

T

.

Find

D

E

.

3

D

E

F

32

24

24

U

V

T

D

E

=

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

D

E

F

is similar to

U

V

T

to write proportions and solve for

D

E

.

△

D

E

F

~

△

U

V

T

3

D

E

F

32

24

24

U

V

T

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

E

F

=

3

and

T

V

=

24

.

Now write the proportions.

Write a proportion to solve for

D

E

. Use

E

F

,

T

V

,

D

E

, and its corresponding side

U

V

.

E

F

T

V

=

Definition of similarity

D

E

U

V

Definition of similarity

3

24

=

Plug in

E

F

=

3

,

T

V

=

24

,

and

U

V

=

32

D

E

32

Plug in

E

F

=

3

,

T

V

=

24

,

and

U

V

=

32

1

8

=

Simplify

D

E

32

Simplify

32

8

=

Multiply both sides by 32

D

E

Multiply both sides by 32

4

=

Divide

D

E

Divide

So,

D

E

=

4

.

Looking for more? Try these:

Lesson: Similarity

or

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Work it out

Not feeling ready yet? These can help:

M.3Identify similar figures

G.1Solve proportions

Lesson: Similarity