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Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 2 — 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 2 — 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 (1, 9) and (0, 2).

Answer: (0.5, 5.5)

  1. x: (1 + 0) ÷ 2 = 0.5
  2. y: (9 + 2) ÷ 2 = 5.5
2.In which quadrant is the point (−7, 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.

3.In which quadrant is the point (1, −6)?
  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.

4.In which quadrant is the point (−6, 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.

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

Answer: (−4, −1)

  1. x: (−5 + (−3)) ÷ 2 = −4
  2. y: (−7 + 5) ÷ 2 = −1
6.Find the midpoint of the segment joining (2, 5) and (9, 0).

Answer: (5.5, 2.5)

  1. x: (2 + 9) ÷ 2 = 5.5
  2. y: (5 + 0) ÷ 2 = 2.5
7.Find the midpoint of the segment joining (0, 8) and (−9, −4).

Answer: (−4.5, 2)

  1. x: (0 + (−9)) ÷ 2 = −4.5
  2. y: (8 + (−4)) ÷ 2 = 2
8.Find the midpoint of the segment joining (5, −4) and (−9, 8).

Answer: (−2, 2)

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

10.In which quadrant is the point (9, −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 (−5, 2) and (−1, −2).

Answer: (−3, 0)

  1. x: (−5 + (−1)) ÷ 2 = −3
  2. y: (2 + (−2)) ÷ 2 = 0
12.In which quadrant is the point (−2, −6)?
  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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