Congruency and Similarity

Find the length of the missing side.

• 26 cm

• 18 cm

• 101.4 cm

• 15 cm

Are the triangles similar? If so, by what theorem or postulate?

• Yes, by SSS~

• No

• Yes, by SAS~

• Yes, by AA~

What is the difference between similar and congruent figures?

• Similar figures have the same shape but different size, while congruent figures have the same shape and size

• Similar figures have the same shape and size, while congruent figures have different shapes and sizes

• Similar figures have different shapes and sizes, while congruent figures have the same shape and size

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

• Vertical

• Congruent

• Complementary

• Similar

Do similar shapes have the same angles?

• No

• Yes

• Maybe

• I don't know

Two objects that are the same shape but NOT the same size are ___.

• Congruent

• Vertical

• Similar

• Complementary 

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

Are these shapes similar?

• Yes

• No

• Not enough information

Which statement is true about the similarity of figures?

• Similar figures must have the same shape, but not necessarily the same size.

• Similar figures must have the same size, but not necessarily the same shape.

• Similar figures must have both the same shape and size.

• Similar figures do not have to have the same shape or size.

Similar Figures have...

• Congruent corresponding sides

• Congruent corresponding angles

• Proportional corresponding sides

• Proportional corresponding angles