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Year 10 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 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 — 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.Find the midpoint of the segment joining (2, −3) and (−8, −2).

Answer: (−3, −2.5)

  1. x: (2 + (−8)) ÷ 2 = −3
  2. y: (−3 + (−2)) ÷ 2 = −2.5
2.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.

3.In which quadrant is the point (−1, 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.Find the midpoint of the segment joining (−4, −2) and (−9, −7).

Answer: (−6.5, −4.5)

  1. x: (−4 + (−9)) ÷ 2 = −6.5
  2. y: (−2 + (−7)) ÷ 2 = −4.5
5.In which quadrant is the point (5, 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.

6.In which quadrant is the point (−5, 1)?
  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.

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

Answer: (4.5, 1.5)

  1. x: (5 + 4) ÷ 2 = 4.5
  2. y: (−6 + 9) ÷ 2 = 1.5
8.In which quadrant is the point (5, −3)?
  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.

9.Find the midpoint of the segment joining (−1, −6) and (8, 9).

Answer: (3.5, 1.5)

  1. x: (−1 + 8) ÷ 2 = 3.5
  2. y: (−6 + 9) ÷ 2 = 1.5
10.Find the midpoint of the segment joining (5, −4) and (−8, −6).

Answer: (−1.5, −5)

  1. x: (5 + (−8)) ÷ 2 = −1.5
  2. y: (−4 + (−6)) ÷ 2 = −5
11.In which quadrant is the point (2, −3)?
  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 (5, −5) and (6, 5).

Answer: (5.5, 0)

  1. x: (5 + 6) ÷ 2 = 5.5
  2. y: (−5 + 5) ÷ 2 = 0
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