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Year 10 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the Year 10 geometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Geometry

Year 10 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 (−2, −7)?
  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.In which quadrant is the point (2, −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.

3.Find the midpoint of the segment joining (7, 0) and (−9, −8).

Answer: (−1, −4)

  1. x: (7 + (−9)) ÷ 2 = −1
  2. y: (0 + (−8)) ÷ 2 = −4
4.Find the midpoint of the segment joining (0, −6) and (8, 2).

Answer: (4, −2)

  1. x: (0 + 8) ÷ 2 = 4
  2. y: (−6 + 2) ÷ 2 = −2
5.In which quadrant is the point (−5, 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.

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

Answer: (−3.5, −5.5)

  1. x: (−3 + (−4)) ÷ 2 = −3.5
  2. y: (−5 + (−6)) ÷ 2 = −5.5
7.Find the midpoint of the segment joining (−8, −3) and (−5, 9).

Answer: (−6.5, 3)

  1. x: (−8 + (−5)) ÷ 2 = −6.5
  2. y: (−3 + 9) ÷ 2 = 3
8.In which quadrant is the point (−3, −4)?
  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.

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

Answer: (1.5, 3.5)

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

Answer: (2, −5)

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

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