Question

Midpoint And Distance in the Coordinate Plane

1. What is the length of AB with endpoints A(3,2) and B (8,14)

*13*

2. What is the midpoint of AB, with endpoints A (3,2) and B (8,14)?

*(5.5,8)*

3. ABC has vertices A(1,5), B(9,7),and C (7.13). M is the midpoint of AB. And N is the midpoint of BC. Which of the following is the length of MN?

*5*

Answer 1

Question 1

`√((3-8)^2 +(2-14)^2)=13`

Question 2

`\left((3+8)/(2), (2+14)/(2) \right)=(5.5, 8)`

Question 3

`M=\left((1+9)/(2), (5+7)/(2) \right)=(5, 6) \\ \\ N=\left((9+7)/(2), (7+13)/(2) \right)=(8, 10) \\ \\ MN=√((8-5)^2 + (10-6)^2)=5`