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

$\sqrt{(3-8)^2 +(2-14)^2}=13$

Question 2

$\left(\frac{3+8}{2}, \frac{2+14}{2} \right)=(5.5, 8)$

Question 3

$M=\left(\frac{1+9}{2}, \frac{5+7}{2} \right)=(5, 6) \\ \\ N=\left(\frac{9+7}{2}, \frac{7+13}{2} \right)=(8, 10) \\ \\ MN=\sqrt{(8-5)^2 + (10-6)^2}=5$