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10th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 10th Grade geometry worksheet.

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10th 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 (7, 8) and (7, −3).

Answer: (7, 2.5)

  1. x: (7 + 7) ÷ 2 = 7
  2. y: (8 + (−3)) ÷ 2 = 2.5
2.Find the midpoint of the segment joining (−8, 4) and (−2, 1).

Answer: (−5, 2.5)

  1. x: (−8 + (−2)) ÷ 2 = −5
  2. y: (4 + 1) ÷ 2 = 2.5
3.Find the midpoint of the segment joining (9, 7) and (−8, −6).

Answer: (0.5, 0.5)

  1. x: (9 + (−8)) ÷ 2 = 0.5
  2. y: (7 + (−6)) ÷ 2 = 0.5
4.Find the midpoint of the segment joining (2, −4) and (5, −2).

Answer: (3.5, −3)

  1. x: (2 + 5) ÷ 2 = 3.5
  2. y: (−4 + (−2)) ÷ 2 = −3
5.Find the distance between (4, −4) and (12, −19).

Answer: 17

  1. Horizontal change = 8, vertical change = 15
  2. d = √(82 + 152) = √289
  3. = 17
6.Find the midpoint of the segment joining (4, 7) and (4, −6).

Answer: (4, 0.5)

  1. x: (4 + 4) ÷ 2 = 4
  2. y: (7 + (−6)) ÷ 2 = 0.5
7.Find the midpoint of the segment joining (−3, 0) and (−1, −4).

Answer: (−2, −2)

  1. x: (−3 + (−1)) ÷ 2 = −2
  2. y: (0 + (−4)) ÷ 2 = −2
8.Find the distance between (0, 1) and (−8, −14).

Answer: 17

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

Answer: (0, 1.5)

  1. x: (1 + (−1)) ÷ 2 = 0
  2. y: (8 + (−5)) ÷ 2 = 1.5
10.Find the midpoint of the segment joining (−4, 6) and (−2, 5).

Answer: (−3, 5.5)

  1. x: (−4 + (−2)) ÷ 2 = −3
  2. y: (6 + 5) ÷ 2 = 5.5
11.Find the distance between (−1, −3) and (0, −12), correct to 1 decimal place.

Answer: 9.1

  1. Horizontal change = 1, vertical change = 9
  2. d = √(12 + 92) = √82
  3. = 9.1
12.Find the midpoint of the segment joining (8, 9) and (7, −5).

Answer: (7.5, 2)

  1. x: (8 + 7) ÷ 2 = 7.5
  2. y: (9 + (−5)) ÷ 2 = 2
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