IXL | Similar figures | 8th grade math

Are these shapes similar?

45 m

50 m

45 m

50 m

27 m

30 m

27 m

30 m

yes

ref_doc_title.

Learn with an example

question

Are these shapes similar?

24 km

28 km

yes

key idea

Shapes are similar if their corresponding angles are all congruent and their corresponding sides are proportional.

solution

Look for the parts that appear to be corresponding. Reflect the second shape so that it matches the first shape.

24 km

28 km

First, see if the corresponding angles are all congruent.

J	≅	U

I	≅	V

L	≅	W

K	≅	X

The corresponding angles are all congruent.

Next, see if the corresponding sides are proportional. Start by finding the lengths of all the sides.

JILK is a square. All the sides are the same length. IL and LK are both 24 km.

UVWX is also a square. All the sides are the same length. VW and WX are both 28 km.

JI and UV have a ratio of

, which is equivalent to

IL and VW have a ratio of

, which is equivalent to

LK and WX have a ratio of

, which is equivalent to

KJ and XU have a ratio of

, which is equivalent to

The ratios are all

, so the corresponding sides are proportional.

Since the corresponding angles are all congruent and the corresponding sides are proportional, the shapes are similar.

Looking for more? Try these:

Lesson: Similarity

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Teacher tools

Work it out

Not feeling ready yet? These can help:

G.1Solve proportions

Lesson: Similarity

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!