Question

worksheets
name
identify the scale factor
class
total questions: 10
date
worksheet time: 10mins
1.
what is the scale factor if the triangle on the left is the original?
a) 2
b) $\frac{3}{2}$
c) $\frac{2}{3}$
d) $\frac{1}{2}$
2.
what is the scale factor?
a) 4
b) 25
c) 5
d) 6

1. scale factor is ________

a) the number you multiply the original shape by in order to get the scale copy
b) the number you divide the original shape by in order to get the scale copy
c) the number you add the original shape by in order to get the scale copy
d) the number you subtract the original shape by in order to get the scale copy

1. if the scale factor is less than one, the new figure will be

a) an enlargement
b) a reduction
c) a scale factor
d) bigger

1. if the scale factor is greater than one, the new figure will be

a) reduction
b) enlargement
c) scale
d) not proportional

Explanation:

Step1: Define scale factor formula

Scale factor = $\frac{\text{Dimension of copy}}{\text{Dimension of original}}$

Step2: Solve Q1: Use corresponding sides

Original height = 6 ft, Copy height = 3 ft
Scale factor = $\frac{3}{6} = \frac{1}{2}$

Step3: Solve Q2: Use corresponding sides

Original length = 7, Copy length = 28
Scale factor = $\frac{28}{7} = 4$

Step4: Answer Q3: Recall scale factor definition

Scale factor multiplies original to get copy.

Step5: Answer Q4: Interpret scale factor <1

Factor <1 shrinks the figure (reduction).

Step6: Answer Q5: Interpret scale factor >1

Factor >1 enlarges the figure (enlargement)

Answer:

1. d) 1/2
2. a) 4
3. a) the number you multiply the original shape by in order to get the scale copy
4. b) a reduction
5. b) enlargement