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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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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Geometry

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 (4, −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.

2.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.

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

4.Find the midpoint of the segment joining (−6, −5) and (−9, 2).

Answer: (−7.5, −1.5)

  1. x: (−6 + (−9)) ÷ 2 = −7.5
  2. y: (−5 + 2) ÷ 2 = −1.5
5.In which quadrant is the point (4, 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.

6.Find the midpoint of the segment joining (9, −8) and (4, −3).

Answer: (6.5, −5.5)

  1. x: (9 + 4) ÷ 2 = 6.5
  2. y: (−8 + (−3)) ÷ 2 = −5.5
7.Find the midpoint of the segment joining (1, 2) and (−1, 8).

Answer: (0, 5)

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

Answer: (1, 2.5)

  1. x: (4 + (−2)) ÷ 2 = 1
  2. y: (7 + (−2)) ÷ 2 = 2.5
9.Find the midpoint of the segment joining (−8, −1) and (8, 6).

Answer: (0, 2.5)

  1. x: (−8 + 8) ÷ 2 = 0
  2. y: (−1 + 6) ÷ 2 = 2.5
10.Find the midpoint of the segment joining (−8, 4) and (2, 6).

Answer: (−3, 5)

  1. x: (−8 + 2) ÷ 2 = −3
  2. y: (4 + 6) ÷ 2 = 5
11.Find the midpoint of the segment joining (9, 8) and (−3, −8).

Answer: (3, 0)

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

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