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6th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 6th Grade geometry worksheet.

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6th Grade 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 midpoint of the segment joining (−2, 0) and (5, 2).

Answer: (1.5, 1)

  1. x: (−2 + 5) ÷ 2 = 1.5
  2. y: (0 + 2) ÷ 2 = 1
2.Find the distance between (5, 5) and (8, 1).

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
3.Find the midpoint of the segment joining (3, 3) and (0, 4).

Answer: (1.5, 3.5)

  1. x: (3 + 0) ÷ 2 = 1.5
  2. y: (3 + 4) ÷ 2 = 3.5
4.Find the midpoint of the segment joining (2, 6) and (−6, −6).

Answer: (−2, 0)

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

Answer: (0.5, −4.5)

  1. x: (3 + (−2)) ÷ 2 = 0.5
  2. y: (−3 + (−6)) ÷ 2 = −4.5
6.Find the distance between (6, −2) and (1, 10).

Answer: 13

  1. Horizontal change = 5, vertical change = 12
  2. d = √(52 + 122) = √169
  3. = 13
7.Find the distance between (−2, −4) and (1, 0).

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
8.Find the distance between (−5, 2) and (4, 14).

Answer: 15

  1. Horizontal change = 9, vertical change = 12
  2. d = √(92 + 122) = √225
  3. = 15
9.Find the midpoint of the segment joining (−5, −4) and (5, 0).

Answer: (0, −2)

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

Answer: (5, 2.5)

  1. x: (5 + 5) ÷ 2 = 5
  2. y: (9 + (−4)) ÷ 2 = 2.5
11.Find the distance between (−6, 2) and (−9, −4), correct to 1 decimal place.

Answer: 6.7

  1. Horizontal change = 3, vertical change = 6
  2. d = √(32 + 62) = √45
  3. = 6.7
12.Find the distance between (5, −6) and (−3, −1), correct to 1 decimal place.

Answer: 9.4

  1. Horizontal change = 8, vertical change = 5
  2. d = √(82 + 52) = √89
  3. = 9.4
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