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Year 7 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 7 geometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Geometry

Year 7 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 (6, 3) and (−3, −8).

Answer: (1.5, −2.5)

  1. x: (6 + (−3)) ÷ 2 = 1.5
  2. y: (3 + (−8)) ÷ 2 = −2.5
2.Find the midpoint of the segment joining (5, 8) and (−3, −6).

Answer: (1, 1)

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

Answer: 5.4

  1. Horizontal change = 5, vertical change = 2
  2. d = √(52 + 22) = √29
  3. = 5.4
4.Find the distance between (0, 3) and (8, 18).

Answer: 17

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

Answer: 8.1

  1. Horizontal change = 8, vertical change = 1
  2. d = √(82 + 12) = √65
  3. = 8.1
6.Find the distance between (−5, −4) and (−10, −9), correct to 1 decimal place.

Answer: 7.1

  1. Horizontal change = 5, vertical change = 5
  2. d = √(52 + 52) = √50
  3. = 7.1
7.Find the distance between (1, 2) and (−4, 5), correct to 1 decimal place.

Answer: 5.8

  1. Horizontal change = 5, vertical change = 3
  2. d = √(52 + 32) = √34
  3. = 5.8
8.Find the distance between (−4, −1) and (−7, −5).

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
9.Find the midpoint of the segment joining (6, −7) and (2, 8).

Answer: (4, 0.5)

  1. x: (6 + 2) ÷ 2 = 4
  2. y: (−7 + 8) ÷ 2 = 0.5
10.Find the midpoint of the segment joining (−4, 2) and (−7, 3).

Answer: (−5.5, 2.5)

  1. x: (−4 + (−7)) ÷ 2 = −5.5
  2. y: (2 + 3) ÷ 2 = 2.5
11.Find the midpoint of the segment joining (2, −5) and (7, −7).

Answer: (4.5, −6)

  1. x: (2 + 7) ÷ 2 = 4.5
  2. y: (−5 + (−7)) ÷ 2 = −6
12.Find the midpoint of the segment joining (−5, −2) and (4, 5).

Answer: (−0.5, 1.5)

  1. x: (−5 + 4) ÷ 2 = −0.5
  2. y: (−2 + 5) ÷ 2 = 1.5
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