Compare Congruent and Similar

Choose the statement that accurately describes the relationship between ABCD and EFGH.

• ABCD and EFGH are congruent, but not similar.

• ABCD and EFGH are similar, but not congruent.

• ABCD and EFGH are both congruent and similar.

• ABCD and EFGH are neither congruent, nor similar.

Answer explanation

The figures are similar, because they have congruent corresponding angles and proportional corresponding side lengths.

They are not congruent, because they are not the same size (the corresponding side lengths are not congruent/equal).

Are these shapes congruent, similar or neither?

• Congruent

• Similar

• Neither

Are these shapes congruent, similar or neither?

• Congruent

• Similar

• Neither

If two triangles satisfy the SSS Similarity Theorem, what can you say about their corresponding sides?

• Their corresponding sides are congruent

• Their corresponding sides are in proportion to each other.

• Their corresponding sides are perpendicular

• Their corresponding sides are parallel

Which statement is true?

• A and B are congruent

• C and D are congruent

• A and B are similar

• C and D are similar

Which two figures are similar?

• B and E

• B and D

• A and D

Two figures that are the same shape, but different sizes are called:

• Similar

• Congruent

• Translations

• Shapes

The two figures are congruent. What is the measure of angle D?

• 90

• 35

• 55

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary