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Year 10 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 3 — 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 3 — Practice Set 3 — 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 (5, 2) and (4, 6).

Answer: (4.5, 4)

  1. x: (5 + 4) ÷ 2 = 4.5
  2. y: (2 + 6) ÷ 2 = 4
2.Find the distance between (1, −1) and (−5, 7).

Answer: 10

  1. Horizontal change = 6, vertical change = 8
  2. d = √(62 + 82) = √100
  3. = 10
3.Find the midpoint of the segment joining (−4, 5) and (−9, −6).

Answer: (−6.5, −0.5)

  1. x: (−4 + (−9)) ÷ 2 = −6.5
  2. y: (5 + (−6)) ÷ 2 = −0.5
4.Find the midpoint of the segment joining (−5, −1) and (−1, −1).

Answer: (−3, −1)

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

Answer: (2.5, 3)

  1. x: (9 + (−4)) ÷ 2 = 2.5
  2. y: (5 + 1) ÷ 2 = 3
6.Find the midpoint of the segment joining (−6, 2) and (0, −8).

Answer: (−3, −3)

  1. x: (−6 + 0) ÷ 2 = −3
  2. y: (2 + (−8)) ÷ 2 = −3
7.Find the midpoint of the segment joining (0, −5) and (−3, 9).

Answer: (−1.5, 2)

  1. x: (0 + (−3)) ÷ 2 = −1.5
  2. y: (−5 + 9) ÷ 2 = 2
8.Find the midpoint of the segment joining (0, −7) and (9, 9).

Answer: (4.5, 1)

  1. x: (0 + 9) ÷ 2 = 4.5
  2. y: (−7 + 9) ÷ 2 = 1
9.Find the midpoint of the segment joining (−2, −8) and (−1, 2).

Answer: (−1.5, −3)

  1. x: (−2 + (−1)) ÷ 2 = −1.5
  2. y: (−8 + 2) ÷ 2 = −3
10.Find the distance between (1, 6) and (−7, −9).

Answer: 17

  1. Horizontal change = 8, vertical change = 15
  2. d = √(82 + 152) = √289
  3. = 17
11.Find the distance between (−3, 4) and (5, −11).

Answer: 17

  1. Horizontal change = 8, vertical change = 15
  2. d = √(82 + 152) = √289
  3. = 17
12.Find the midpoint of the segment joining (−9, 4) and (7, 4).

Answer: (−1, 4)

  1. x: (−9 + 7) ÷ 2 = −1
  2. y: (4 + 4) ÷ 2 = 4
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