Similarity with Shapes

What are similar figures?

• Shapes that have the same shape and corresponding angels are congruent, but the sides are not necessarily the same size.

• Compares the sizes of the parts of the scale drawing to the actual sizes on the original object.

• They are shapes that are in the same position in different plane figures.

• They are shapes that have different ratios.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

All corresponding sides are proportional (same ratio) in similar figures.

• True
• False

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Two objects that are the same shape and have congruent corresponding angles but not the same side measures are _______.

• Congruent

• Vertical

• Similar

• Complementary

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Are the following similar? Why or why not?

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

Tags

CCSS.HSG.SRT.A.2

Tell whether the two figures are similar. Explain your reasoning.

• 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

Triangle ABC and XYZ are similar.  Use your knowledge of scale factor to find the length of X.

• 20
• 25
• 100
• 40

Tags

CCSS.HSG.SRT.A.2

The triangles in the image are similar. Find the length of x

Tags

CCSS.HSG.SRT.A.2

The triangles in the image are similar. Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Tags

CCSS.HSG.SRT.A.2

The pair of figures is similar. Find the missing side.

Tags

CCSS.HSG.SRT.A.2

Find the missing side lengths.

• x=9, y=16

• x=6, y=24

• x=8, y=21

• x=9, y=24

Tags

CCSS.HSG.SRT.B.5