IXL | Identify congruent figures

Are these shapes congruent?

33 in

21 in

33 in

21 in

33 in

21 in

33 in

21 in

yes

ref_doc_title.

Learn with an example

question

Are these shapes congruent?

108°

72°

108°

72°

108°

72°

108°

72°

15 cm

20 cm

15 cm

11 cm

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

108°

72°

108°

72°

108°

72°

108°

72°

15 cm

20 cm

15 cm

11 cm

Look at the sides. Find the lengths of all the sides.

CDEF is a parallelogram. The opposite sides are congruent. CD is 15 cm and DE is 20 cm.

RSTU is also a parallelogram. The opposite sides are congruent. RS is 11 cm and UR is 15 cm.

There is no side in the right shape congruent to DE in the left shape. So, the shapes are not congruent.

Looking for more? Try these:

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

Lesson: Congruence

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