Question

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Part 1: Figure A is a dilated image of Figure B. Find the scale factor. #1 and 2​

Answer 1

Take one side

• B=3units
• A=9units

Scale factor (A to B)

`\\ \rm\rightarrowtail (3)/(9)=(1)/(3)`

• Scale factor (B to A)=3

#2

• B=6units
• A=4units

Scale factor Bto A:-

• 4/6=2/3

Scale factor (Ato B)=3/2

Answer 2

The scale factor can either increase or decrease the size of an object. To find the scale factor of dilation:

`\textsf{Scale factor} = \frac{\textsf{Dimension of the new shape}}{\textsf{Dimension of the original shape}}`

For these questions:

• new shape = Figure A
• original shape = Figure B

Question 1

• Top edge of Figure A = 9 units
• Top edge of Figure B = 3 units

`\sf \implies scale \ factor=(9)/(3)=3`

Question 2

• Width of Figure A = 4 units
• Width of Figure B = 6 units

`\sf \implies scale \ factor=\frac46=\frac23`