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Year 11 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 11 geometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Geometry

Year 11 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 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 distance between (−4, −1) and (3, −6), correct to 1 decimal place.

Answer: 8.6

  1. Horizontal change = 7, vertical change = 5
  2. d = √(72 + 52) = √74
  3. = 8.6
2.Find the distance between (3, −4) and (6, 0).

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
3.Find the midpoint of the segment joining (4, 0) and (−4, 6).

Answer: (0, 3)

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

Answer: (−1.5, 5.5)

  1. x: (0 + (−3)) ÷ 2 = −1.5
  2. y: (6 + 5) ÷ 2 = 5.5
5.Find the midpoint of the segment joining (−3, 1) and (2, −3).

Answer: (−0.5, −1)

  1. x: (−3 + 2) ÷ 2 = −0.5
  2. y: (1 + (−3)) ÷ 2 = −1
6.Find the distance between (0, −5) and (−8, 3), correct to 1 decimal place.

Answer: 11.3

  1. Horizontal change = 8, vertical change = 8
  2. d = √(82 + 82) = √128
  3. = 11.3
7.Find the midpoint of the segment joining (9, 1) and (−1, −1).

Answer: (4, 0)

  1. x: (9 + (−1)) ÷ 2 = 4
  2. y: (1 + (−1)) ÷ 2 = 0
8.Find the distance between (3, 3) and (6, 6), correct to 1 decimal place.

Answer: 4.2

  1. Horizontal change = 3, vertical change = 3
  2. d = √(32 + 32) = √18
  3. = 4.2
9.Find the distance between (−2, −1) and (−11, −3), correct to 1 decimal place.

Answer: 9.2

  1. Horizontal change = 9, vertical change = 2
  2. d = √(92 + 22) = √85
  3. = 9.2
10.Find the distance between (−2, −5) and (−8, 3).

Answer: 10

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

Answer: (0.5, −3)

  1. x: (−1 + 2) ÷ 2 = 0.5
  2. y: (−2 + (−4)) ÷ 2 = −3
12.Find the midpoint of the segment joining (−9, −8) and (−1, 3).

Answer: (−5, −2.5)

  1. x: (−9 + (−1)) ÷ 2 = −5
  2. y: (−8 + 3) ÷ 2 = −2.5
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