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Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 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 — 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, 9) and (−9, 6).

Answer: (−5, 7.5)

  1. x: (−1 + (−9)) ÷ 2 = −5
  2. y: (9 + 6) ÷ 2 = 7.5
2.Find the distance between (6, 4) and (3, 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 (−7, −4) and (1, 8).

Answer: (−3, 2)

  1. x: (−7 + 1) ÷ 2 = −3
  2. y: (−4 + 8) ÷ 2 = 2
4.Find the distance between (−3, 2) and (−11, 17).

Answer: 17

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

Answer: (−0.5, −6)

  1. x: (−3 + 2) ÷ 2 = −0.5
  2. y: (−8 + (−4)) ÷ 2 = −6
6.Find the distance between (−1, 0) and (5, −1), correct to 1 decimal place.

Answer: 6.1

  1. Horizontal change = 6, vertical change = 1
  2. d = √(62 + 12) = √37
  3. = 6.1
7.Find the midpoint of the segment joining (−8, −5) and (0, 7).

Answer: (−4, 1)

  1. x: (−8 + 0) ÷ 2 = −4
  2. y: (−5 + 7) ÷ 2 = 1
8.Find the midpoint of the segment joining (−6, 6) and (4, 8).

Answer: (−1, 7)

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

Answer: (8.5, −0.5)

  1. x: (8 + 9) ÷ 2 = 8.5
  2. y: (−9 + 8) ÷ 2 = −0.5
10.Find the midpoint of the segment joining (−4, 2) and (1, −6).

Answer: (−1.5, −2)

  1. x: (−4 + 1) ÷ 2 = −1.5
  2. y: (2 + (−6)) ÷ 2 = −2
11.Find the distance between (−4, 5) and (−8, −3), correct to 1 decimal place.

Answer: 8.9

  1. Horizontal change = 4, vertical change = 8
  2. d = √(42 + 82) = √80
  3. = 8.9
12.Find the midpoint of the segment joining (4, 2) and (5, −4).

Answer: (4.5, −1)

  1. x: (4 + 5) ÷ 2 = 4.5
  2. y: (2 + (−4)) ÷ 2 = −1
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