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Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 4 — 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 — Practice Set 4 — 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 (−1, 0) and (−6, 12).

Answer: 13

  1. Horizontal change = 5, vertical change = 12
  2. d = √(52 + 122) = √169
  3. = 13
2.Find the midpoint of the segment joining (−3, 8) and (0, 8).

Answer: (−1.5, 8)

  1. x: (−3 + 0) ÷ 2 = −1.5
  2. y: (8 + 8) ÷ 2 = 8
3.Find the distance between (2, 0) and (10, 15).

Answer: 17

  1. Horizontal change = 8, vertical change = 15
  2. d = √(82 + 152) = √289
  3. = 17
4.Find the midpoint of the segment joining (4, 0) and (2, 1).

Answer: (3, 0.5)

  1. x: (4 + 2) ÷ 2 = 3
  2. y: (0 + 1) ÷ 2 = 0.5
5.Find the midpoint of the segment joining (−4, −5) and (−8, 1).

Answer: (−6, −2)

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

Answer: (0.5, 5.5)

  1. x: (−1 + 2) ÷ 2 = 0.5
  2. y: (6 + 5) ÷ 2 = 5.5
7.Find the midpoint of the segment joining (2, −2) and (2, −5).

Answer: (2, −3.5)

  1. x: (2 + 2) ÷ 2 = 2
  2. y: (−2 + (−5)) ÷ 2 = −3.5
8.Find the distance between (−5, 6) and (−7, 2), correct to 1 decimal place.

Answer: 4.5

  1. Horizontal change = 2, vertical change = 4
  2. d = √(22 + 42) = √20
  3. = 4.5
9.Find the distance between (5, −2) and (1, −8), correct to 1 decimal place.

Answer: 7.2

  1. Horizontal change = 4, vertical change = 6
  2. d = √(42 + 62) = √52
  3. = 7.2
10.Find the distance between (1, 5) and (−8, 7), correct to 1 decimal place.

Answer: 9.2

  1. Horizontal change = 9, vertical change = 2
  2. d = √(92 + 22) = √85
  3. = 9.2
11.Find the midpoint of the segment joining (6, 1) and (−7, 7).

Answer: (−0.5, 4)

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

Answer: (−3.5, 0)

  1. x: (−1 + (−6)) ÷ 2 = −3.5
  2. y: (4 + (−4)) ÷ 2 = 0
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