IXL | Similar figures | 8th grade math

Are these shapes similar?

39 km

41 km

yes

ref_doc_title.

Learn with an example

question

Are these shapes similar?

40 km

26 km

25 km

26 km

46 km

28 km

20 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.

40 km

26 km

25 km

26 km

46 km

28 km

20 km

28 km

First, see if the corresponding angles are all congruent.

You cannot tell if the corresponding angles are congruent.

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

DC and JK have a ratio of

, which is equivalent to

CB and KL have a ratio of

, which is equivalent to

BE and LM have a ratio of

, which is equivalent to

ED and MJ have a ratio of

, which is equivalent to

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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G.1Solve proportions

Lesson: Similarity

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