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Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 4 — Answers

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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 (−3, −4) and (2, −16).

Answer: 13

  1. Horizontal change = 5, vertical change = 12
  2. d = √(52 + 122) = √169
  3. = 13
2.Find the midpoint of the segment joining (6, 8) and (0, −4).

Answer: (3, 2)

  1. x: (6 + 0) ÷ 2 = 3
  2. y: (8 + (−4)) ÷ 2 = 2
3.Find the midpoint of the segment joining (4, 1) and (−7, 0).

Answer: (−1.5, 0.5)

  1. x: (4 + (−7)) ÷ 2 = −1.5
  2. y: (1 + 0) ÷ 2 = 0.5
4.Find the distance between (−5, 6) and (−6, 15), correct to 1 decimal place.

Answer: 9.1

  1. Horizontal change = 1, vertical change = 9
  2. d = √(12 + 92) = √82
  3. = 9.1
5.Find the distance between (4, 0) and (−4, −15).

Answer: 17

  1. Horizontal change = 8, vertical change = 15
  2. d = √(82 + 152) = √289
  3. = 17
6.Find the distance between (6, −3) and (1, −9), correct to 1 decimal place.

Answer: 7.8

  1. Horizontal change = 5, vertical change = 6
  2. d = √(52 + 62) = √61
  3. = 7.8
7.Find the distance between (4, 4) and (2, 3), correct to 1 decimal place.

Answer: 2.2

  1. Horizontal change = 2, vertical change = 1
  2. d = √(22 + 12) = √5
  3. = 2.2
8.Find the midpoint of the segment joining (−7, −5) and (7, −3).

Answer: (0, −4)

  1. x: (−7 + 7) ÷ 2 = 0
  2. y: (−5 + (−3)) ÷ 2 = −4
9.Find the distance between (−3, −2) and (−9, −4), correct to 1 decimal place.

Answer: 6.3

  1. Horizontal change = 6, vertical change = 2
  2. d = √(62 + 22) = √40
  3. = 6.3
10.Find the midpoint of the segment joining (−8, −1) and (6, 9).

Answer: (−1, 4)

  1. x: (−8 + 6) ÷ 2 = −1
  2. y: (−1 + 9) ÷ 2 = 4
11.Find the midpoint of the segment joining (6, 9) and (−1, 5).

Answer: (2.5, 7)

  1. x: (6 + (−1)) ÷ 2 = 2.5
  2. y: (9 + 5) ÷ 2 = 7
12.Find the midpoint of the segment joining (−1, −1) and (9, −2).

Answer: (4, −1.5)

  1. x: (−1 + 9) ÷ 2 = 4
  2. y: (−1 + (−2)) ÷ 2 = −1.5
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