Question

Choose all that correctly dilate the line segment. Given: AB is 10 inches. If AB is dilated to form A'B' by a scale factor of 0.5, the length of A'B' is 5 inches. Given: AB is 8 inches. If AB is dilated to form A'B' by a scale factor of 2, the length of A'B' is 4 inches. Given: AB is 12 inches. If AB is dilated to form A'B' by a scale factor of 0.5, the length of A'B' is 24 inches. Given: AB is 10 inches. If AB is dilated to form A'B' by a scale factor of 2, the length of A'B' is 20 inches.

Answer 1

Given: AB is 10 inches. If AB is dilated to form A'B' by a scale factor of 0.5, the length of A'B' is 5 inches.

Given: AB is 10 inches. If AB is dilated to form A'B' by a scale factor of 2, the length of A'B' is 20 inches.

Explanation:

After the dilation the segment AB form segment A'B'. The length of A'B' is the length of AB multiplied by the scale factor, so if AB is 10 inches and the scale factor of 0.5, then the length of A'B' is 10*0.5 = 5 inches; if AB is 10 inches and the scale factor of 2, then the length of A'B' is 10*2 = 20 inches .

Answer 2

The first thing you must remember is that for this case we have the following relationship:
A'B '= k * AB
Where,
k: is the scale factor.
Answer:
all that correctly dilate the line segment are:

Given: AB is 10 inches. If AB is dilated to form A'B 'by a scale factor of 0.5, the length of A'B' is 5 inches.

Given: AB is 10 inches. If AB is dilated to form A'B 'by a scale factor of 2, the length of A'B' is 20 inches.