Respuesta :

The scale factor to convert Figure A to B is [tex]\frac{1}{2}[/tex] (0.5)

Step-by-step 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 = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex],

Similarly, the height of figure B / the height of figure A = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex].

So by multiplying figure A with scale factor [tex]\frac{1}{2}[/tex] we get figure B.