Coordinate Geometry Quiz

1. What is the distance between the points $A(0, 0)$ and $B(6, 8)$?

• A. 10
• B. 14
• C. $\sqrt{14}$
• D. 48

2. What is the midpoint of $A(2, 4)$ and $B(6, 10)$?

• A. (4, 7)
• B. (8, 14)
• C. (2, 3)
• D. (4, 6)

3. $M(5, 1)$ is the midpoint of $A(3, -2)$ and $B$. What are the coordinates of $B$?

• A. (7, 4)
• B. (4, -0.5)
• C. (1, -5)
• D. (8, 2)

4. Point $P$ divides the line from $A(1, 1)$ to $B(9, 5)$ in the ratio $3:1$. What are the coordinates of $P$?

• A. (7, 4)
• B. (3, 2)
• C. (5, 3)
• D. (9, 5)

5. Line segment $AB$ has $A(1, 2)$ and $B(13, 8)$. Point $P$ lies on $AB$ such that $AP:PB = 1:2$. What are the coordinates of $P$?

• A. (5, 4)
• B. (9, 6)
• C. (7, 5)
• D. (4, 3)