IXL | Identify similar figures

Are these shapes similar?

750 m

1250 m

1000 m

1275 m

750 m

yes

ref_doc_title.

Learn with an example

question

Are these shapes similar?

23 mi

43 mi

23 mi

39 mi

38 mi

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. Rotate the second shape so that it matches the first shape.

23 mi

43 mi

23 mi

39 mi

38 mi

First, see if the corresponding angles are all congruent.

≅

You cannot tell if the other pairs of corresponding angles are congruent.

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

MN and TR have a ratio of

, which is equivalent to

NO and RS have a ratio of

OM and ST have a ratio of

The ratios are not all the same, so the corresponding sides are not proportional.

Since the corresponding sides are not proportional, the shapes are not similar.

Looking for more? Try these:

Lesson: Similarity

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Teacher tools

Work it out

Not feeling ready yet? These can help:

DD.1Scale drawings of polygons

L.10Do the ratios form a proportion?

Lesson: Similarity

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