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Year 10 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 10 geometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Geometry

Year 10 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 2 — Answers

Midpoint = (average of the x-values, average of the y-values). Distance: use Pythagoras with the horizontal and vertical changes.

1.Find the midpoint of the segment joining (−4, 8) and (7, −7).

Answer: (1.5, 0.5)

  1. x: (−4 + 7) ÷ 2 = 1.5
  2. y: (8 + (−7)) ÷ 2 = 0.5
2.Find the midpoint of the segment joining (−6, −4) and (1, 9).

Answer: (−2.5, 2.5)

  1. x: (−6 + 1) ÷ 2 = −2.5
  2. y: (−4 + 9) ÷ 2 = 2.5
3.Find the midpoint of the segment joining (4, −3) and (−7, −2).

Answer: (−1.5, −2.5)

  1. x: (4 + (−7)) ÷ 2 = −1.5
  2. y: (−3 + (−2)) ÷ 2 = −2.5
4.Find the midpoint of the segment joining (−2, 2) and (8, 9).

Answer: (3, 5.5)

  1. x: (−2 + 8) ÷ 2 = 3
  2. y: (2 + 9) ÷ 2 = 5.5
5.In which quadrant is the point (6, 7)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: first

x is positive and y is positive, so the point is in the first quadrant.

6.Find the midpoint of the segment joining (−3, 2) and (−6, 7).

Answer: (−4.5, 4.5)

  1. x: (−3 + (−6)) ÷ 2 = −4.5
  2. y: (2 + 7) ÷ 2 = 4.5
7.Find the midpoint of the segment joining (4, −1) and (−5, −6).

Answer: (−0.5, −3.5)

  1. x: (4 + (−5)) ÷ 2 = −0.5
  2. y: (−1 + (−6)) ÷ 2 = −3.5
8.Find the midpoint of the segment joining (−2, 1) and (−1, 1).

Answer: (−1.5, 1)

  1. x: (−2 + (−1)) ÷ 2 = −1.5
  2. y: (1 + 1) ÷ 2 = 1
9.Find the midpoint of the segment joining (0, −9) and (6, 3).

Answer: (3, −3)

  1. x: (0 + 6) ÷ 2 = 3
  2. y: (−9 + 3) ÷ 2 = −3
10.Find the midpoint of the segment joining (0, 6) and (3, −5).

Answer: (1.5, 0.5)

  1. x: (0 + 3) ÷ 2 = 1.5
  2. y: (6 + (−5)) ÷ 2 = 0.5
11.Find the midpoint of the segment joining (4, −3) and (2, 4).

Answer: (3, 0.5)

  1. x: (4 + 2) ÷ 2 = 3
  2. y: (−3 + 4) ÷ 2 = 0.5
12.Find the midpoint of the segment joining (9, −5) and (1, 0).

Answer: (5, −2.5)

  1. x: (9 + 1) ÷ 2 = 5
  2. y: (−5 + 0) ÷ 2 = −2.5
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