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

Answer Key - Grade 10 Math Worksheet - Challenge Me

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

1. 1.

   Esme plans a grid path from F(-5, 8) to Q(10, -7). V splits FQ so FV : VQ = 2 : 3. What are the coordinates of V?

   (1, 2)
2. 2.

   Jun plans a grid path from G(-4, -6) to S(8, 18). W splits GS so GW : WS = 1 : 3. What are the coordinates of W?

   (-1, 0)
3. 3.

   Kira plans a grid path from H(2, -3) to U(10, 9). Y splits HU so HY : YU = 3 : 1. What are the coordinates of Y?

   (8, 6)
4. 4.

   Luz plans a grid path from Q(-3, 7) to V(3, -5). C splits QV so QC : CV = 1 : 2. What are the coordinates of C?

   (-1, 3)
5. 5.

   Noah plans a grid path from U(-6, 2) to Y(4, 12). F splits UY so UF : FY = 3 : 2. What are the coordinates of F?

   (0, 8)
6. 6.

   Pia plots two stops on a park map (each square is one block). V(3, -4) and C(7, ?) have midpoint G(5, 2). What is the missing y-coordinate of C?

   8
7. 7.

   Ren programs a floor robot on a grid. W(-2, 6) and D(?, -4) have midpoint H(5, 1). What is the missing x-coordinate of D?

   12
8. 8.

   Zee plans a bike route on a grid map. C(-7, -3) and G(?, 7) have midpoint S(5, 2). What is the missing x-coordinate of G?

   17
9. 9.

   Ari marks two rooms on a school floor plan. D(8, -1) and H(-4, ?) have midpoint U(2, 6). What is the missing y-coordinate of H?

   13
10. 10.

    Bo marks two tents on a campsite grid. F(1, 12) and Q(?, -6) have midpoint V(9, 3). What is the missing x-coordinate of Q?

    17