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7th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 3 — Answers

Answer sheet with worked solutions for the 7th Grade geometry worksheet.

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7th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — 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 (9, 0) and (7, 5).

Answer: (8, 2.5)

  1. x: (9 + 7) ÷ 2 = 8
  2. y: (0 + 5) ÷ 2 = 2.5
2.Find the midpoint of the segment joining (1, −3) and (5, −1).

Answer: (3, −2)

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

Answer: (6, −0.5)

  1. x: (4 + 8) ÷ 2 = 6
  2. y: (−3 + 2) ÷ 2 = −0.5
4.In which quadrant is the point (5, 4)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: first

x is positive and y is positive, so the point is in the first quadrant.

5.Find the midpoint of the segment joining (−2, 2) and (−5, 6).

Answer: (−3.5, 4)

  1. x: (−2 + (−5)) ÷ 2 = −3.5
  2. y: (2 + 6) ÷ 2 = 4
6.Find the midpoint of the segment joining (4, 6) and (−1, −7).

Answer: (1.5, −0.5)

  1. x: (4 + (−1)) ÷ 2 = 1.5
  2. y: (6 + (−7)) ÷ 2 = −0.5
7.Find the midpoint of the segment joining (5, −3) and (1, 3).

Answer: (3, 0)

  1. x: (5 + 1) ÷ 2 = 3
  2. y: (−3 + 3) ÷ 2 = 0
8.In which quadrant is the point (−9, −1)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: third

x is negative and y is negative, so the point is in the third quadrant.

9.Find the midpoint of the segment joining (6, 1) and (−6, −5).

Answer: (0, −2)

  1. x: (6 + (−6)) ÷ 2 = 0
  2. y: (1 + (−5)) ÷ 2 = −2
10.In which quadrant is the point (7, −1)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: fourth

x is positive and y is negative, so the point is in the fourth quadrant.

11.Find the midpoint of the segment joining (−9, −3) and (−1, −1).

Answer: (−5, −2)

  1. x: (−9 + (−1)) ÷ 2 = −5
  2. y: (−3 + (−1)) ÷ 2 = −2
12.Find the midpoint of the segment joining (0, −6) and (−6, −6).

Answer: (−3, −6)

  1. x: (0 + (−6)) ÷ 2 = −3
  2. y: (−6 + (−6)) ÷ 2 = −6
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