Coordinate geometry

High School Math 1 · Unit 15 · coordinate-geometry

coordinate-geometry

Name ______________________________Date ______________

1.
Find the distance between $(-2, 3)$ and $(4, 11)$ .
Answer: ______________
2.
Point $P$ lies on the segment from $A(1, 2)$ to $B(9, 14)$ so that $AP : PB = 1 : 3$ . What is the $y$ -coordinate of $P$ ?
Answer: ______________
3.
A triangle has vertices $(1, 1)$ , $(7, 3)$ , and $(3, 6)$ . What is its area, in square units?
Answer: ______________
4.
What is the midpoint of the segment joining $(-5, 2)$ and $(3, 8)$ ?
1. (A)
  $(-1, 5)$
2. (B)
  $(-2, 10)$
3. (C)
  $(4, 3)$
4. (D)
  $(-4, -3)$
5.
Triangle $ABC$ has vertices $A(1, 2)$ , $B(7, 2)$ , and $C(7, 10)$ . What is the length of the median from $B$ to side $\overline{AC}$ ?
1. (A)
  $\sqrt{13}$
2. (B)
  $4$
3. (C)
  $5$
4. (D)
  $\sqrt{34}$
5. (E)
  $\sqrt{41}$