Question

Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?

Answer 1

The scale factor to convert Figure A to B is
`(1)/(2)` (0.5)

Explanation:

Step 1; To determine the scale factor, we need to know the dimensions of the shape before scaling and its dimensions after scaling. From the given diagram, figure A has a base length of 6 units while its height is 4 units. Figure B has a base length of 3 units and a height of 2 units.

Step 2; To find the scale factor, we divide a particular dimension from figure B with the same dimension in figure A.

The base length of figure B /the base length of figure A =
`(3)/(6)` =
`(1)/(2)`,

Similarly, the height of figure B / the height of figure A =
`(2)/(4)` =
`(1)/(2)`.

So by multiplying figure A with scale factor
`(1)/(2)` we get figure B.