Question

The endpoints of AC are A(-8, 9) and C (1, -3). Point B(-2, 1) lies on AC. What

is the ratio AB: BC?
A 1:2
B
1:1
C) 2:1
D) 3:1

Answer 1

C

Explanation:

Find the distance of AB:

Distance formula:
`√([(-8)-(-2)]^2+(9-1)^2)`

`√((-6)^2+(8)^2)=√(36+64)=√(100)=10 units`

Find the distance of BC:

Distance formula:
`√([(-2)-1]^2+[1-(-3)]^2)`

`√((-3)^2+4^2)=√(9+16) =√(25) =5 units`

AB=10 units

BC=5 units

AB:BC = 10:5=2:1

Answer 2

c)2:1..................