MATH SOLVE

4 months ago

Q:
# The endpoints of sa020-1.jpg are A(9, 4) and B(5, β 4). The endpoints of its image after a dilation are sa020-2.jpg and sa020-3.jpg. Find the scale factor.

Accepted Solution

A:

Answer:

The scale factor is (β10) / (4)

Explanation:

The complete question as well as the rule for the distance between two points are shown in the attached image.

To get the scale factor, we will follow these steps:

1- Length of AB:

AB =Β β(5-9)Β²+(-4-4)Β²Β

AB =Β β80

AB = 4β5 units

2- Length of A'B':

A'B' =Β β(5-6)Β²+(-4-3)Β²

A'B' =Β β50

A'B' = 5β2

3- getting the scale factor:

A'B' = k AB where k is the scale factor

5β2 = k * 4β5

k = (β10) / (4)

Hope this helps :)

The scale factor is (β10) / (4)

Explanation:

The complete question as well as the rule for the distance between two points are shown in the attached image.

To get the scale factor, we will follow these steps:

1- Length of AB:

AB =Β β(5-9)Β²+(-4-4)Β²Β

AB =Β β80

AB = 4β5 units

2- Length of A'B':

A'B' =Β β(5-6)Β²+(-4-3)Β²

A'B' =Β β50

A'B' = 5β2

3- getting the scale factor:

A'B' = k AB where k is the scale factor

5β2 = k * 4β5

k = (β10) / (4)

Hope this helps :)