Proportional Reasoning with Scale Drawings

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

Sides in similar figures must be proportional.  

• True

• False 

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

What is a scale factor?

• Shapes that have the same shape, but not necessarily the same size.

• A ratio/number that compares the sizes of the parts of the scale drawings.

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

• The length of a side of a similar figure.

Tags

CCSS.7.G.A.1

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Tags

CCSS.HSG.SRT.A.2

Leon created a scale drawing of the school library in his art class. In the scale drawing, the length of the library is 13 inches. The length of the actual library is 78 feet. Which scale did Leon use to create the scale drawing of the school library?

• 1 inch represents 6 feet

• 6 inches represents 1 foot

Tags

CCSS.7.RP.A.2C

Jamie made a scale drawing of his apartment building.  The building is 300 ft tall.  He wants his scale to be 1 inch : 10 ft.  How tall should his building be in his scale drawing?

• 25 inches

• 60 inches

• 1/30 inch

• 30 inches

Tags

CCSS.7.RP.A.2C

Find the length of x

• x = 1

• x = 2

• x = 7

• x = 1/7

Tags

CCSS.HSG.SRT.A.2

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

• True

• False

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

The following shapes are similar, the smaller one is the original shape, what is the scale factor?

• 8:12

• 3:2

• 4:8

• 6:12

Tags

CCSS.7.G.A.1

Find missing side

• 5

• 7

• 9

• 11

Tags

CCSS.HSG.SRT.A.2