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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.In which quadrant is the point (−1, −8)?
  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.

2.Find the midpoint of the segment joining (5, 4) and (7, −1).

Answer: (6, 1.5)

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

4.In which quadrant is the point (8, 9)?
  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.In which quadrant is the point (−8, −5)?
  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.

6.Find the midpoint of the segment joining (1, 8) and (6, 5).

Answer: (3.5, 6.5)

  1. x: (1 + 6) ÷ 2 = 3.5
  2. y: (8 + 5) ÷ 2 = 6.5
7.In which quadrant is the point (−4, −9)?
  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.

8.In which quadrant is the point (−7, 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.

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

10.Find the midpoint of the segment joining (2, −6) and (−3, −1).

Answer: (−0.5, −3.5)

  1. x: (2 + (−3)) ÷ 2 = −0.5
  2. y: (−6 + (−1)) ÷ 2 = −3.5
11.Find the midpoint of the segment joining (−2, 9) and (2, 3).

Answer: (0, 6)

  1. x: (−2 + 2) ÷ 2 = 0
  2. y: (9 + 3) ÷ 2 = 6
12.In which quadrant is the point (5, −5)?
  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.

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