2. Coordinate Geometry
Distance And Midpoint — Quiz
Test your understanding of distance and midpoint with 5 practice questions.
Practice Questions
Question 1
A triangle has vertices at $A = (1, 1)$, $B = (7, 1)$, and $C = (4, 5)$. What is the length of the median from vertex C to the midpoint of side AB?
Question 2
The vertices of a rhombus are $P = (0, 0)$, $Q = (a, 0)$, $R = (a+b, c)$, and $S = (b, c)$. If the length of the diagonal PR is $2\sqrt{13}$ and the length of the diagonal QS is $2\sqrt{5}$, what are the possible values of $a$ and $b$?
Question 3
A square has vertices at $A = (x, y)$, $B = (x+s, y)$, $C = (x+s, y+s)$, and $D = (x, y+s)$. If the length of the diagonal AC is $5\sqrt{2}$ units, what is the side length, $s$, of the square?
Question 4
A line segment has endpoints $A = (p, q)$ and $B = (r, s)$. If the midpoint of the segment is $M = (3, 4)$ and $p+r = 6$, what is the value of $q+s$?
Question 5
The vertices of a triangle are $A = (1, 2)$, $B = (5, 2)$, and $C = (3, 6)$. What is the area of the triangle?