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Year 9 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 9 geometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Geometry

Year 9 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 (7, 6) and (3, 8).

Answer: (5, 7)

  1. x: (7 + 3) ÷ 2 = 5
  2. y: (6 + 8) ÷ 2 = 7
2.Find the midpoint of the segment joining (−5, 2) and (5, 7).

Answer: (0, 4.5)

  1. x: (−5 + 5) ÷ 2 = 0
  2. y: (2 + 7) ÷ 2 = 4.5
3.Find the midpoint of the segment joining (−3, −5) and (−4, 5).

Answer: (−3.5, 0)

  1. x: (−3 + (−4)) ÷ 2 = −3.5
  2. y: (−5 + 5) ÷ 2 = 0
4.Find the distance between (2, 0) and (8, 8).

Answer: 10

  1. Horizontal change = 6, vertical change = 8
  2. d = √(62 + 82) = √100
  3. = 10
5.Find the midpoint of the segment joining (−7, 4) and (3, −1).

Answer: (−2, 1.5)

  1. x: (−7 + 3) ÷ 2 = −2
  2. y: (4 + (−1)) ÷ 2 = 1.5
6.Find the midpoint of the segment joining (0, −7) and (9, 0).

Answer: (4.5, −3.5)

  1. x: (0 + 9) ÷ 2 = 4.5
  2. y: (−7 + 0) ÷ 2 = −3.5
7.Find the distance between (1, 3) and (9, 18).

Answer: 17

  1. Horizontal change = 8, vertical change = 15
  2. d = √(82 + 152) = √289
  3. = 17
8.Find the midpoint of the segment joining (−2, 7) and (0, 4).

Answer: (−1, 5.5)

  1. x: (−2 + 0) ÷ 2 = −1
  2. y: (7 + 4) ÷ 2 = 5.5
9.Find the distance between (5, 6) and (8, 10).

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
10.Find the midpoint of the segment joining (−2, 8) and (−6, 9).

Answer: (−4, 8.5)

  1. x: (−2 + (−6)) ÷ 2 = −4
  2. y: (8 + 9) ÷ 2 = 8.5
11.Find the midpoint of the segment joining (−5, −8) and (0, 7).

Answer: (−2.5, −0.5)

  1. x: (−5 + 0) ÷ 2 = −2.5
  2. y: (−8 + 7) ÷ 2 = −0.5
12.Find the midpoint of the segment joining (8, −8) and (−3, −3).

Answer: (2.5, −5.5)

  1. x: (8 + (−3)) ÷ 2 = 2.5
  2. y: (−8 + (−3)) ÷ 2 = −5.5
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