The midpoint formula, and the point part of the way along a segment
Grade 10 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
Esme plots two stops on a park map (each square is one block): C(2, 3) and G(10, 9). What is the x-coordinate of the midpoint of CG?
Jun programs a floor robot on a grid: D(1, 5) and H(7, 13). What is the y-coordinate of the midpoint of DH?
Grid: segment DH with a right triangle under it. Its vertical leg runs from y = 5 to y = 13. Grid: segment DH with a right triangle under it. Its vertical leg runs from y = 5 to y = 13. y = 5 y = 13 D H Kira marks two kite poles on a field grid: F(3, 2) and Q(11, 6). What is the x-coordinate of the midpoint of FQ?
Grid: segment FQ with a right triangle under it. Its horizontal leg runs from x = 3 to x = 11. Grid: segment FQ with a right triangle under it. Its horizontal leg runs from x = 3 to x = 11. x = 3 x = 11 F Q Noah marks two tents on a campsite grid: Q(1, 3) and V(9, 7). C is halfway between them. What are the coordinates of C?
Grid: segment QV with a right triangle under it, legs along the grid lines. Grid: segment QV with a right triangle under it, legs along the grid lines. Q V Pia marks two shelves on a library floor plan: S(3, 1) and W(7, 11). D is halfway between them. What are the coordinates of D?
Grid: segment SW with a right triangle under it, legs along the grid lines. Grid: segment SW with a right triangle under it, legs along the grid lines. S W Ren marks two bus stops on a city grid: U(2, 5) and Y(5, 9). F is halfway between them. What are the coordinates of F?
Grid: segment UY with a right triangle under it, legs along the grid lines. Grid: segment UY with a right triangle under it, legs along the grid lines. U Y Tala plots two stops on a park map (each square is one block): V(0, 6) and C(10, 2). G is halfway between them. What are the coordinates of G?
Grid: segment VC with a right triangle under it, legs along the grid lines. Grid: segment VC with a right triangle under it, legs along the grid lines. V C Zee programs a floor robot on a grid: W(4, 8) and D(12, 2). H is halfway between them. What are the coordinates of H?
Grid: segment WD with a right triangle under it, legs along the grid lines. Grid: segment WD with a right triangle under it, legs along the grid lines. W D Ari marks two kite poles on a field grid: Y(1, 1) and F(6, 9). Q is halfway between them. What are the coordinates of Q?
Grid: segment YF with a right triangle under it, legs along the grid lines. Grid: segment YF with a right triangle under it, legs along the grid lines. Y F Bo plans a bike route on a grid map: C(6, 3) and G(10, 13). S is halfway between them. What are the coordinates of S?
Grid: segment CG with a right triangle under it, legs along the grid lines. Grid: segment CG with a right triangle under it, legs along the grid lines. C G