Scale Factors of Shapes

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

Which side length on the scaled copy corresponds to the side length HJ on the original image?

• AB

• BC

• AC

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Robbie made a scale drawing of a neighborhood park. A soccer field in the park is 14 inches long in the drawing. The actual field is 98 yards long. What is the scale of the drawing?1 inch = _ yards

• 1372

• 5

• 14

• 7

Tags

CCSS.7.G.A.1

When you use a percent that is less than 100% to change the original, what is true about the new image?

• The new image is larger than the original.

• The new image is smaller than the original.

• The new image is the same size as the original.

• No one knows for sure what will happen.

Tags

CCSS.8.G.A.3

Find the perimeter of the large triangle.

• 24

• 36

• 12

• 54

Identify the side length in Figure 1 that corresponds to the side length MQ in figure 2.

• BC

• AE

• CD

• DE

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Tags

CCSS.HSG.CO.A.2

The two polygons are similar.

Find the value of x

Find the scale factor

Find the ratio of the perimeter.

Value of x: ____, Scale factor: ____, Ratio of perimeter: ____

How do you write the algebraic notation when the scale factor is 1/2?

• (x, y) −> (2x, 2y)

• (x, y) −> (1/2x, 1/2y)

• (x, y) −> (-2x, -2y)

• (x, y) −> (2x, 1/2y)

Tags

CCSS.8.G.A.3

Are the two polygons similar? If not, explain why. (They are not drawn to scale, but you can assume all angles are 90°.)

• Yes

• No; Not enough information to tell

• No; 5 ⁄ 25 ≠ 6 ⁄ 10

• No; 5 ⁄ 25 ≠ 8 ⁄ 41

Tags

CCSS.HSG.SRT.B.5