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Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 8 geometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Geometry

Year 8 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 midpoint of the segment joining (6, 1) and (2, −2).

Answer: (4, −0.5)

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

Answer: (−0.5, −2)

  1. x: (5 + (−6)) ÷ 2 = −0.5
  2. y: (−8 + 4) ÷ 2 = −2
3.Find the distance between (−2, −3) and (7, −15).

Answer: 15

  1. Horizontal change = 9, vertical change = 12
  2. d = √(92 + 122) = √225
  3. = 15
4.Find the distance between (5, −2) and (4, −9), correct to 1 decimal place.

Answer: 7.1

  1. Horizontal change = 1, vertical change = 7
  2. d = √(12 + 72) = √50
  3. = 7.1
5.Find the distance between (6, −4) and (3, −8).

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
6.Find the distance between (−2, 6) and (5, 7), correct to 1 decimal place.

Answer: 7.1

  1. Horizontal change = 7, vertical change = 1
  2. d = √(72 + 12) = √50
  3. = 7.1
7.Find the midpoint of the segment joining (8, −6) and (−9, −4).

Answer: (−0.5, −5)

  1. x: (8 + (−9)) ÷ 2 = −0.5
  2. y: (−6 + (−4)) ÷ 2 = −5
8.Find the distance between (2, 2) and (7, −10).

Answer: 13

  1. Horizontal change = 5, vertical change = 12
  2. d = √(52 + 122) = √169
  3. = 13
9.Find the midpoint of the segment joining (−3, −8) and (−2, 3).

Answer: (−2.5, −2.5)

  1. x: (−3 + (−2)) ÷ 2 = −2.5
  2. y: (−8 + 3) ÷ 2 = −2.5
10.Find the distance between (2, −6) and (−2, −4), correct to 1 decimal place.

Answer: 4.5

  1. Horizontal change = 4, vertical change = 2
  2. d = √(42 + 22) = √20
  3. = 4.5
11.Find the midpoint of the segment joining (−6, −8) and (9, −9).

Answer: (1.5, −8.5)

  1. x: (−6 + 9) ÷ 2 = 1.5
  2. y: (−8 + (−9)) ÷ 2 = −8.5
12.Find the midpoint of the segment joining (−7, 5) and (2, 6).

Answer: (−2.5, 5.5)

  1. x: (−7 + 2) ÷ 2 = −2.5
  2. y: (5 + 6) ÷ 2 = 5.5
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