Scale Factor and Scale Drawing

Amanda made a scale drawing of a square garden, which has a side length of 25 feet. She used the scale 2 inches = 5 feet.

What will be the area of the scale drawing?

• 10 in²

• 25 in²

• 100 in²

• 484 in²

A scale drawing that measures 8 units wide and an original that measures 4 units wide has a scale factor of...

• 2:1

• 8:1

• bigger

• 1:2

If the scale factor is 4, what is the measurement of x?

• 20 m

• 24 m

• 16 m

• 4 m

Use the scale drawing to create a proportion and find the height of the tree.

• 12.5 feet

• 8 feet

• 200 feet

Which rule would dilate shows a scale factor of 4

• (x, y) → (y, x)

• (x, y) → (x + 4, y + 4)

• (x, y) → (x, -y)

• (x, y) → (4x, 4y)

In the figure above, a dilation from A to A' has occurred. What is the scale factor?

scale factor = _______

Mathematical Equivalence

ON

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Quadrilateral NDMP was dilated to make N'D'M'P'. What was the scale factor?

• 2

• 3

• 1/3

• 1/2

Match the following dilations by a scale factor of 1/2.

• (0, -5)

• (0,0)

• (5,1)

• (0, -10)

• (3,4)

• (10,2)

• (-3, -4)

• (6,8)

• (0,0)

• (-6,-8)

Answer explanation

Note that 0/2 is still 0

so (0,0) dilated by 1/2 is still at (0,0)

(0,-10) dilated by a 1/2 is at

(0, -5)

What is the scale factor from the small fry to the large fry?

• 1/3

• 48

• 4

• 3