IXL | Similar and congruent figures

Are these shapes congruent?

73 km

47 km

73 km

yes

ref_doc_title.

Learn with an example

question

Are these shapes congruent?

27 yd

yes

key idea

Congruent shapes have the same size and shape. In congruent shapes, all pairs of corresponding angles are congruent and all pairs of corresponding sides are congruent.

solution

27 yd

Match up the shapes so that the corresponding angles are congruent.

E ≅ P

F ≅ Q

G ≅ R

H ≅ S

Next, look at the sides. Find the lengths of all the sides.

EFGH is a square. All the sides are the same length. GH and HE are both 27 yd.

PQRS is also a square. All the sides are the same length. RS and SP are both 27 yd.

EF ≅ PQ	FG ≅ QR
GH ≅ RS	HE ≅ SP

Since there is a correspondence between the shapes such that corresponding angles and sides are congruent, the shapes are congruent.

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:

Y.1Name, measure, and classify angles

Y.2Lines, line segments, and rays

N.1Find the constant of proportionality from a table

L.10Do the ratios form a proportion?

Lesson: Similarity

Lesson: Congruence

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