IXL - Identify similar figures (Geometry practice)

Are these shapes similar?

32 mi

29 mi

yes

ref_doc_title.

Learn with an example

question

Are these shapes similar?

25 yd

38 yd

25 yd

34 yd

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.

25 yd

38 yd

34 yd

25 yd

First, see if the corresponding angles are all congruent.

F	≅	Y

I	≅	V

H	≅	W

G	≅	X

The corresponding angles are all congruent.

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

FIHG is a rectangle. The opposite sides are congruent. IH is 25 yd and HG is 38 yd.

YVWX is also a rectangle. The opposite sides are congruent. WX is 34 yd and XY is 25 yd.

FI and YV have a ratio of

, which is equivalent to

IH and VW have a ratio of

, which is equivalent to

HG and WX have a ratio of

, which is equivalent to

GF and XY 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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Not feeling ready yet? These can help:

L.2Identify equivalent ratios

M.2Similarity statements

Lesson: Similarity

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