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).

Tags

CCSS.8.G.A.2

Are these shapes congruent, similar or neither?

• Congruent

• Similar

• Neither

Tags

CCSS.8.G.A.2

Are these shapes congruent, similar or neither?

• Congruent

• Similar

• Neither

Tags

CCSS.8.G.A.2

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

Tags

CCSS.HSG.SRT.A.2

Which statement is true?

• A and B are congruent

• C and D are congruent

• A and B are similar

• C and D are similar

Tags

CCSS.8.G.A.2

Which two figures are similar?

• B and E

• B and D

• A and D

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

• Similar

• Congruent

• Translations

• Shapes

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

• 90

• 35

• 55

Tags

CCSS.HSG.CO.B.7

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.

Tags

CCSS.HSG.SRT.A.2

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

• Congruent

• Vertical

• Similar

• Complementary 

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6