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Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 2 — 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 2 — 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 (−5, 1).

Answer: (−4.5, −1.5)

  1. x: (−4 + (−5)) ÷ 2 = −4.5
  2. y: (−4 + 1) ÷ 2 = −1.5
2.Find the distance between (1, −4) and (−1, −11), correct to 1 decimal place.

Answer: 7.3

  1. Horizontal change = 2, vertical change = 7
  2. d = √(22 + 72) = √53
  3. = 7.3
3.Find the midpoint of the segment joining (−2, 8) and (−4, 6).

Answer: (−3, 7)

  1. x: (−2 + (−4)) ÷ 2 = −3
  2. y: (8 + 6) ÷ 2 = 7
4.Find the midpoint of the segment joining (9, 0) and (−4, −9).

Answer: (2.5, −4.5)

  1. x: (9 + (−4)) ÷ 2 = 2.5
  2. y: (0 + (−9)) ÷ 2 = −4.5
5.Find the distance between (4, −6) and (12, −21).

Answer: 17

  1. Horizontal change = 8, vertical change = 15
  2. d = √(82 + 152) = √289
  3. = 17
6.Find the distance between (−3, −2) and (5, −17).

Answer: 17

  1. Horizontal change = 8, vertical change = 15
  2. d = √(82 + 152) = √289
  3. = 17
7.Find the midpoint of the segment joining (3, −5) and (5, 0).

Answer: (4, −2.5)

  1. x: (3 + 5) ÷ 2 = 4
  2. y: (−5 + 0) ÷ 2 = −2.5
8.Find the midpoint of the segment joining (8, −1) and (−5, 2).

Answer: (1.5, 0.5)

  1. x: (8 + (−5)) ÷ 2 = 1.5
  2. y: (−1 + 2) ÷ 2 = 0.5
9.Find the midpoint of the segment joining (8, −3) and (−8, 9).

Answer: (0, 3)

  1. x: (8 + (−8)) ÷ 2 = 0
  2. y: (−3 + 9) ÷ 2 = 3
10.Find the distance between (−3, −6) and (−11, 9).

Answer: 17

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

Answer: (−5, −4)

  1. x: (−2 + (−8)) ÷ 2 = −5
  2. y: (−4 + (−4)) ÷ 2 = −4
12.Find the distance between (1, −6) and (−7, −21).

Answer: 17

  1. Horizontal change = 8, vertical change = 15
  2. d = √(82 + 152) = √289
  3. = 17
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