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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 (−9, 1) and (7, −1).

Answer: (−1, 0)

  1. x: (−9 + 7) ÷ 2 = −1
  2. y: (1 + (−1)) ÷ 2 = 0
2.In which quadrant is the point (−3, −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.

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

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

Answer: (8.5, 0)

  1. x: (8 + 9) ÷ 2 = 8.5
  2. y: (2 + (−2)) ÷ 2 = 0
5.In which quadrant is the point (−6, 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.

6.Find the midpoint of the segment joining (0, 7) and (−2, −1).

Answer: (−1, 3)

  1. x: (0 + (−2)) ÷ 2 = −1
  2. y: (7 + (−1)) ÷ 2 = 3
7.In which quadrant is the point (9, 8)?
  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 (4, −2) and (−8, −2).

Answer: (−2, −2)

  1. x: (4 + (−8)) ÷ 2 = −2
  2. y: (−2 + (−2)) ÷ 2 = −2
9.In which quadrant is the point (−3, 3)?
  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.Find the midpoint of the segment joining (−6, 3) and (9, −3).

Answer: (1.5, 0)

  1. x: (−6 + 9) ÷ 2 = 1.5
  2. y: (3 + (−3)) ÷ 2 = 0
11.In which quadrant is the point (5, −9)?
  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.

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

Answer: (−4, −0.5)

  1. x: (−8 + 0) ÷ 2 = −4
  2. y: (−2 + 1) ÷ 2 = −0.5
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