Grade 10 · Math · Geometry

10th grade The midpoint formula, and the point part of the way along a segment worksheet

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

Grade 10 Math Worksheet - Challenge Me

NameDate

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

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?
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?
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?
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?
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?
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?
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?
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?
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?
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?

Midpoint and dividing a segment. Every version has 10 questions, and the answer key prints on the second page.

I can find the midpoint of a segment from its endpoints, including negative coordinates.
I can find the point a fraction of the way along a segment, or the point that splits it in a ratio.
I can find a missing endpoint or coordinate from the midpoint.

Standard: G-GPE.B.6

midpoint: The point halfway along a segment.

leg (of the triangle under a segment): The across part (run) or the up part (rise) of the segment.

a fraction of the way: The same fraction of each leg, counted from the starting point.

ratio 2 : 3: Split into 2 + 3 = 5 equal parts; the point is 2 parts from the start.

Your child subtracted the coordinates in the midpoint formula.

Your child added the coordinates but forgot to divide by 2.

Your child dropped the minus signs when adding coordinates.

Ask: is the middle of 2 and 10 at 4 or at 6?

Ask: halfway means what fraction of the way?

Ask: what is -4 + 6?

What is the most common mistake with the midpoint formula, and the point part of the way along a segment?

Your child subtracted the coordinates in the midpoint formula.

How can I help my child with the midpoint formula, and the point part of the way along a segment?

Ask: is the middle of 2 and 10 at 4 or at 6?

Are these 10th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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