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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 distance between (−6, 2) and (2, 17).

Answer: 17

  1. Horizontal change = 8, vertical change = 15
  2. d = √(82 + 152) = √289
  3. = 17
2.Find the distance between (−4, −6) and (4, −21).

Answer: 17

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

Answer: (3, 5)

  1. x: (5 + 1) ÷ 2 = 3
  2. y: (2 + 8) ÷ 2 = 5
4.Find the distance between (−6, −6) and (−8, −14), correct to 1 decimal place.

Answer: 8.2

  1. Horizontal change = 2, vertical change = 8
  2. d = √(22 + 82) = √68
  3. = 8.2
5.Find the midpoint of the segment joining (−4, 1) and (4, −1).

Answer: (0, 0)

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

Answer: (−1.5, 5)

  1. x: (−2 + (−1)) ÷ 2 = −1.5
  2. y: (8 + 2) ÷ 2 = 5
7.Find the distance between (3, 3) and (6, 7).

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
8.Find the midpoint of the segment joining (2, 5) and (−7, −5).

Answer: (−2.5, 0)

  1. x: (2 + (−7)) ÷ 2 = −2.5
  2. y: (5 + (−5)) ÷ 2 = 0
9.Find the midpoint of the segment joining (7, 2) and (−1, −2).

Answer: (3, 0)

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

Answer: (1.5, −1.5)

  1. x: (3 + 0) ÷ 2 = 1.5
  2. y: (−1 + (−2)) ÷ 2 = −1.5
11.Find the distance between (−3, 2) and (2, 0), correct to 1 decimal place.

Answer: 5.4

  1. Horizontal change = 5, vertical change = 2
  2. d = √(52 + 22) = √29
  3. = 5.4
12.Find the midpoint of the segment joining (−2, 5) and (4, −7).

Answer: (1, −1)

  1. x: (−2 + 4) ÷ 2 = 1
  2. y: (5 + (−7)) ÷ 2 = −1
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