Answer:
The scale factor can either increase or decrease the size of an object. To find the scale factor of dilation:
[tex]\textsf{Scale factor} = \dfrac{\textsf{Dimension of the new shape}}{\textsf{Dimension of the original shape}}[/tex]
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
[tex]\sf \implies scale \ factor=\dfrac{9}{3}=3[/tex]
Question 2
- Width of Figure A = 4 units
- Width of Figure B = 6 units
[tex]\sf \implies scale \ factor=\dfrac46=\dfrac23[/tex]