Question

Desmond made a proportional copy of a figure by multiplying each side length by 3/2. Drag numbers to complete the table

Answer 1

a- Original length = 18
b- Original length = 12
c- Copy length = 15 ; Original Length/Copy Length = 2/3

Answer 2

a - Original length = 18; b - Original length = 12; c - Copy length = 15, ratio = 2/3

Explanation:

For part a, we know the ratio is 2/3. We also know the copy length is 27.

To change the denominator of the ratio to 27, we would multiply by 9; multiplying the top by 9, we have 2(9) = 18.

For part b, we know the ratio is 2/3. We also know the copy length is 18.

To change the denominator of the ratio to 18, we would multiply by 6; multiplying the top by 6, we have 2(6) = 12.

For part c, we only have one option left for the copy length; it must be 15.

This makes the ratio 10/15, which simplifies to 2/3.