IXL - Identify similar and congruent triangles (Geometry practice)

Are these shapes similar?

15 yd

45 yd

50 yd

12 yd

36 yd

40 yd

yes

ref_doc_title.

Learn with an example

question

Are these shapes similar?

375 mi

625 mi

500 mi

300 mi

500 mi

400 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. Reflect the second shape so that it matches the first shape.

375 mi

625 mi

500 mi

300 mi

500 mi

400 mi

First, see if the corresponding angles are all congruent.

S	≅	X

R	≅	V

Q	≅	W

The corresponding angles are all congruent.

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

SR and XV have a ratio of

375

300

, which is equivalent to

RQ and VW have a ratio of

625

500

, which is equivalent to

QS and WX have a ratio of

500

400

, 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

Lesson: Congruence

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Teacher tools

Work it out

Not feeling ready yet? These can help:

M.3Identify similar figures

K.3Identify congruent figures

Lesson: Similarity

Lesson: Congruence

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