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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 midpoint of the segment joining (−4, −4) and (9, −8).

Answer: (2.5, −6)

  1. x: (−4 + 9) ÷ 2 = 2.5
  2. y: (−4 + (−8)) ÷ 2 = −6
2.Find the midpoint of the segment joining (−3, −4) and (−3, 7).

Answer: (−3, 1.5)

  1. x: (−3 + (−3)) ÷ 2 = −3
  2. y: (−4 + 7) ÷ 2 = 1.5
3.Find the distance between (6, −4) and (−1, 5), correct to 1 decimal place.

Answer: 11.4

  1. Horizontal change = 7, vertical change = 9
  2. d = √(72 + 92) = √130
  3. = 11.4
4.Find the midpoint of the segment joining (4, −7) and (−3, 5).

Answer: (0.5, −1)

  1. x: (4 + (−3)) ÷ 2 = 0.5
  2. y: (−7 + 5) ÷ 2 = −1
5.Find the midpoint of the segment joining (−3, −1) and (4, 6).

Answer: (0.5, 2.5)

  1. x: (−3 + 4) ÷ 2 = 0.5
  2. y: (−1 + 6) ÷ 2 = 2.5
6.Find the midpoint of the segment joining (−3, −1) and (−8, −1).

Answer: (−5.5, −1)

  1. x: (−3 + (−8)) ÷ 2 = −5.5
  2. y: (−1 + (−1)) ÷ 2 = −1
7.Find the midpoint of the segment joining (−9, −6) and (−3, −8).

Answer: (−6, −7)

  1. x: (−9 + (−3)) ÷ 2 = −6
  2. y: (−6 + (−8)) ÷ 2 = −7
8.Find the distance between (4, 0) and (1, −4).

Answer: 5

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

Answer: (0, 2.5)

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

Answer: (3, −3)

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

Answer: (6, −4.5)

  1. x: (8 + 4) ÷ 2 = 6
  2. y: (−9 + 0) ÷ 2 = −4.5
12.Find the midpoint of the segment joining (4, 4) and (−9, −3).

Answer: (−2.5, 0.5)

  1. x: (4 + (−9)) ÷ 2 = −2.5
  2. y: (4 + (−3)) ÷ 2 = 0.5
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