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Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 8 geometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Geometry

Year 8 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 (−7, −2) and (−9, 7).

Answer: (−8, 2.5)

  1. x: (−7 + (−9)) ÷ 2 = −8
  2. y: (−2 + 7) ÷ 2 = 2.5
2.Find the midpoint of the segment joining (4, −9) and (0, −6).

Answer: (2, −7.5)

  1. x: (4 + 0) ÷ 2 = 2
  2. y: (−9 + (−6)) ÷ 2 = −7.5
3.In which quadrant is the point (−3, −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.

4.Find the midpoint of the segment joining (3, 4) and (−2, 2).

Answer: (0.5, 3)

  1. x: (3 + (−2)) ÷ 2 = 0.5
  2. y: (4 + 2) ÷ 2 = 3
5.Find the midpoint of the segment joining (−3, −3) and (7, −9).

Answer: (2, −6)

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

Answer: (−1, −3)

  1. x: (−8 + 6) ÷ 2 = −1
  2. y: (−1 + (−5)) ÷ 2 = −3
7.In which quadrant is the point (2, 7)?
  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.

8.Find the midpoint of the segment joining (−5, 8) and (2, −9).

Answer: (−1.5, −0.5)

  1. x: (−5 + 2) ÷ 2 = −1.5
  2. y: (8 + (−9)) ÷ 2 = −0.5
9.Find the midpoint of the segment joining (−9, −5) and (−9, 9).

Answer: (−9, 2)

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

Answer: (−4.5, −1.5)

  1. x: (−7 + (−2)) ÷ 2 = −4.5
  2. y: (−8 + 5) ÷ 2 = −1.5
11.Find the midpoint of the segment joining (−8, −9) and (−6, −4).

Answer: (−7, −6.5)

  1. x: (−8 + (−6)) ÷ 2 = −7
  2. y: (−9 + (−4)) ÷ 2 = −6.5
12.Find the midpoint of the segment joining (−3, 6) and (2, −1).

Answer: (−0.5, 2.5)

  1. x: (−3 + 2) ÷ 2 = −0.5
  2. y: (6 + (−1)) ÷ 2 = 2.5
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