The midpoint formula, and the point part of the way along a segment

Answer Key - Grade 10 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Esme marks two rooms on a school floor plan: D(-4, 3) and H(6, -5). U is halfway between them. What are the coordinates of U?

   (1, -1)
2. 2.

   Jun marks two tents on a campsite grid: F(-7, -2) and Q(3, 6). V is halfway between them. What are the coordinates of V?

   (-2, 2)
3. 3.

   Kira marks two shelves on a library floor plan: G(-1, 5) and S(-9, -3). W is halfway between them. What are the coordinates of W?

   (-5, 1)
4. 4.

   Luz marks two bus stops on a city grid: H(2, -8) and U(-5, 4). Y is halfway between them. What are the coordinates of Y?

   (-1.5, -2)
5. 5.

   Milo plots two stops on a park map (each square is one block): Q(1, 2) and V(9, 14). C is 1/4 of the way from Q to V. What are the coordinates of C?

   (3, 5)
6. 6.

   Noah programs a floor robot on a grid: S(3, -3) and W(12, 6). D is 1/3 of the way from S to W. What are the coordinates of D?

   (6, 0)
7. 7.

   Pia marks two kite poles on a field grid: U(2, 1) and Y(10, 13). F is 3/4 of the way from U to Y. What are the coordinates of F?

   (8, 10)
8. 8.

   Ren plans a bike route on a grid map: V(-6, 0) and C(3, 6). G is 2/3 of the way from V to C. What are the coordinates of G?

   (0, 4)
9. 9.

   Y and Q with the right triangle under YQ; F is the same steps again past Q. Zee marks two tents on a campsite grid. Y is at (-3, 4), and the midpoint of YF is Q(1, -1). What are the coordinates of F?

   (5, -6)
10. 10.

    D and U with the right triangle under DU; H is the same steps again past U. Bo marks two bus stops on a city grid. D is at (-5, -6), and the midpoint of DH is U(-2, 0). What are the coordinates of H?

    (1, 6)