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Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 4 — Answers

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

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Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — 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, −4) and (9, 7).

Answer: (3.5, 1.5)

  1. x: (−2 + 9) ÷ 2 = 3.5
  2. y: (−4 + 7) ÷ 2 = 1.5
2.Find the midpoint of the segment joining (−8, −2) and (8, 2).

Answer: (0, 0)

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

Answer: (0.5, −5.5)

  1. x: (−2 + 3) ÷ 2 = 0.5
  2. y: (−2 + (−9)) ÷ 2 = −5.5
4.In which quadrant is the point (3, 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 (5, 6) and (−1, 5).

Answer: (2, 5.5)

  1. x: (5 + (−1)) ÷ 2 = 2
  2. y: (6 + 5) ÷ 2 = 5.5
6.Find the midpoint of the segment joining (−7, −8) and (−6, 4).

Answer: (−6.5, −2)

  1. x: (−7 + (−6)) ÷ 2 = −6.5
  2. y: (−8 + 4) ÷ 2 = −2
7.In which quadrant is the point (−8, 7)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: second

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

8.Find the midpoint of the segment joining (2, 1) and (0, −6).

Answer: (1, −2.5)

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

Answer: (−3.5, 4)

  1. x: (−6 + (−1)) ÷ 2 = −3.5
  2. y: (6 + 2) ÷ 2 = 4
10.In which quadrant is the point (8, 2)?
  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.

11.In which quadrant is the point (−2, 6)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: second

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

12.In which quadrant is the point (−1, −2)?
  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.

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