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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 (−1, −7) and (5, −6).

Answer: (2, −6.5)

  1. x: (−1 + 5) ÷ 2 = 2
  2. y: (−7 + (−6)) ÷ 2 = −6.5
2.Find the midpoint of the segment joining (3, −8) and (−2, 6).

Answer: (0.5, −1)

  1. x: (3 + (−2)) ÷ 2 = 0.5
  2. y: (−8 + 6) ÷ 2 = −1
3.Find the midpoint of the segment joining (−9, −8) and (−1, 7).

Answer: (−5, −0.5)

  1. x: (−9 + (−1)) ÷ 2 = −5
  2. y: (−8 + 7) ÷ 2 = −0.5
4.Find the distance between (4, −1) and (−5, 11).

Answer: 15

  1. Horizontal change = 9, vertical change = 12
  2. d = √(92 + 122) = √225
  3. = 15
5.Find the midpoint of the segment joining (1, 2) and (7, −9).

Answer: (4, −3.5)

  1. x: (1 + 7) ÷ 2 = 4
  2. y: (2 + (−9)) ÷ 2 = −3.5
6.Find the midpoint of the segment joining (−8, 5) and (9, −1).

Answer: (0.5, 2)

  1. x: (−8 + 9) ÷ 2 = 0.5
  2. y: (5 + (−1)) ÷ 2 = 2
7.Find the midpoint of the segment joining (3, 0) and (5, 7).

Answer: (4, 3.5)

  1. x: (3 + 5) ÷ 2 = 4
  2. y: (0 + 7) ÷ 2 = 3.5
8.Find the distance between (−2, −4) and (−5, −8).

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
9.Find the distance between (0, 5) and (3, 9).

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
10.Find the midpoint of the segment joining (3, −8) and (5, 5).

Answer: (4, −1.5)

  1. x: (3 + 5) ÷ 2 = 4
  2. y: (−8 + 5) ÷ 2 = −1.5
11.Find the midpoint of the segment joining (7, 4) and (−6, −6).

Answer: (0.5, −1)

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

Answer: (−6.5, −3.5)

  1. x: (−4 + (−9)) ÷ 2 = −6.5
  2. y: (2 + (−9)) ÷ 2 = −3.5
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