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

Midpoint = (average of the x-values, average of the y-values). Distance: use Pythagoras with the horizontal and vertical changes.

1.In which quadrant is the point (−3, 4)?
  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.

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

Answer: (−0.5, −0.5)

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

Answer: (7.5, 0.5)

  1. x: (9 + 6) ÷ 2 = 7.5
  2. y: (−1 + 2) ÷ 2 = 0.5
4.In which quadrant is the point (6, −8)?
  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.

5.Find the midpoint of the segment joining (−4, −7) and (6, −3).

Answer: (1, −5)

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

Answer: (−3.5, −1.5)

  1. x: (−4 + (−3)) ÷ 2 = −3.5
  2. y: (2 + (−5)) ÷ 2 = −1.5
7.In which quadrant is the point (−6, 8)?
  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 (5, 9) and (7, 8).

Answer: (6, 8.5)

  1. x: (5 + 7) ÷ 2 = 6
  2. y: (9 + 8) ÷ 2 = 8.5
9.In which quadrant is the point (2, −4)?
  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.

10.In which quadrant is the point (−5, 4)?
  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.

11.In which quadrant is the point (−2, 8)?
  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.Find the midpoint of the segment joining (−1, 2) and (−4, 8).

Answer: (−2.5, 5)

  1. x: (−1 + (−4)) ÷ 2 = −2.5
  2. y: (2 + 8) ÷ 2 = 5
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