Question

15 points! What is the length of AB? Use the distance formula to help you decide.

Answer 1

d = √1156 units

Explanation:

We have given end-points of AB.

(0,-7) and (8,8)

We have to find length of A⁰B⁰.

Scale factor is 2.

Hence, end-points of A⁰B⁰ are

2(0,-7) and 2(8,8)

(0,-14) and (16,16)

Hence, we can find length of A⁰B⁰ by using distance formula.

d = √(x₂-x₁)²+(y₂-y₁)²

Putting values ,we have

d = √(16-0)²+(16-(-14))²

d = √(16)²+(16+14)²

d = √256+900

d = √1156 units which is the answer.

Answer 2

Answer: 34

Explanation:

The scale of factor is 2. Then, you must multiply the coordinates of the endpoints AB by 2 to obtain the coordinates od the enpoints A'B':

`(0*2,-7(2))=(0-14)`

`(8*2,8*2)=(16,16)`

Substitute values into the formula, then you obtain that the length A'B' is:

`d=√((16-0)^2+(16-(-14))^2)\\d=34`