Congruency and Similarity

Find the length of the missing side.

• 26 cm

• 18 cm

• 101.4 cm

• 15 cm

Tags

CCSS.HSG.SRT.B.5

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

• Yes, by SSS~

• No

• Yes, by SAS~

• Yes, by AA~

Tags

CCSS.HSG.SRT.B.5

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

• Vertical

• Congruent

• Complementary

• Similar

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Do similar shapes have the same angles?

• No

• Yes

• Maybe

• I don't know

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Are these shapes similar?

• Yes

• No

• Not enough information

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Similar Figures have...

• Congruent corresponding sides

• Congruent corresponding angles

• Proportional corresponding sides

• Proportional corresponding angles

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6