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Year 10 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 3 — 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 — Practice Set 3 — 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 (8, 3) and (−8, −3).

Answer: (0, 0)

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

Answer: (−1.5, −1.5)

  1. x: (−1 + (−2)) ÷ 2 = −1.5
  2. y: (4 + (−7)) ÷ 2 = −1.5
4.In which quadrant is the point (−2, 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 (−7, −9) and (−8, −1).

Answer: (−7.5, −5)

  1. x: (−7 + (−8)) ÷ 2 = −7.5
  2. y: (−9 + (−1)) ÷ 2 = −5
6.Find the midpoint of the segment joining (−7, −4) and (5, 9).

Answer: (−1, 2.5)

  1. x: (−7 + 5) ÷ 2 = −1
  2. y: (−4 + 9) ÷ 2 = 2.5
7.Find the midpoint of the segment joining (6, 4) and (7, −6).

Answer: (6.5, −1)

  1. x: (6 + 7) ÷ 2 = 6.5
  2. y: (4 + (−6)) ÷ 2 = −1
8.Find the midpoint of the segment joining (−5, −4) and (−9, −8).

Answer: (−7, −6)

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

Answer: (−2, 5)

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

Answer: (−3, −1)

  1. x: (2 + (−8)) ÷ 2 = −3
  2. y: (−5 + 3) ÷ 2 = −1
11.In which quadrant is the point (7, 4)?
  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.

12.Find the midpoint of the segment joining (−6, −2) and (5, 0).

Answer: (−0.5, −1)

  1. x: (−6 + 5) ÷ 2 = −0.5
  2. y: (−2 + 0) ÷ 2 = −1
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