Coordinate geometry (distance, midpoint, slopes) Knowledge-Based Download PDF

Questions

1. 1.

   The midpoint of line segment $AB$ is $M(3, -1)$. If point $A$ has coordinates $(-2, 5)$, what are the coordinates of point $B$?

   • A) $(8, -7)$
   • B) $(1, 4)$
   • C) $(0.5, 2)$
   • D) $(-7, 3)$
2. 2.

   In the coordinate plane, the points $A(-1, 3)$, $B(2, 7)$, and $C(8, k)$ lie on the same straight line. What is the value of $k$?

   • A) 11
   • B) 15
   • C) 17
   • D) 19
3. 3.

   In the coordinate plane, the distance between the points $A(k, 2)$ and $B(1, -2)$ is 5 units, where $k > 0$. What is the value of $k$?

   • A) 2
   • B) 3
   • C) 4
   • D) 5
4. 4.

   In the coordinate plane, the line passing through points $A(-3, k)$ and $B(1, 5)$ is perpendicular to the line passing through points $C(2, -1)$ and $D(6, 1)$. What is the value of $k$?

   • A) -3
   • B) 3
   • C) 7
   • D) 13
5. 5.

   Point $M$ is the midpoint of the line segment joining $A(-4, 9)$ and $B(2, 1)$. What is the distance between point $M$ and the point $C(3, 2)$?

   • A) 4
   • B) 5
   • C) $2\sqrt{5}$
   • D) 10