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Year 10 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 4 — 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 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 (8, −3) and (7, 2).

Answer: (7.5, −0.5)

  1. x: (8 + 7) ÷ 2 = 7.5
  2. y: (−3 + 2) ÷ 2 = −0.5
2.In which quadrant is the point (2, −7)?
  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 (−2, 4) and (5, −4).

Answer: (1.5, 0)

  1. x: (−2 + 5) ÷ 2 = 1.5
  2. y: (4 + (−4)) ÷ 2 = 0
4.Find the midpoint of the segment joining (7, −7) and (−2, 1).

Answer: (2.5, −3)

  1. x: (7 + (−2)) ÷ 2 = 2.5
  2. y: (−7 + 1) ÷ 2 = −3
5.Find the midpoint of the segment joining (5, −2) and (8, 4).

Answer: (6.5, 1)

  1. x: (5 + 8) ÷ 2 = 6.5
  2. y: (−2 + 4) ÷ 2 = 1
6.Find the midpoint of the segment joining (−3, 8) and (−7, −7).

Answer: (−5, 0.5)

  1. x: (−3 + (−7)) ÷ 2 = −5
  2. y: (8 + (−7)) ÷ 2 = 0.5
7.In which quadrant is the point (7, 3)?
  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.In which quadrant is the point (3, 5)?
  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.

9.In which quadrant is the point (7, −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.

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

Answer: (3.5, 0.5)

  1. x: (−1 + 8) ÷ 2 = 3.5
  2. y: (2 + (−1)) ÷ 2 = 0.5
11.Find the midpoint of the segment joining (−8, 7) and (7, −2).

Answer: (−0.5, 2.5)

  1. x: (−8 + 7) ÷ 2 = −0.5
  2. y: (7 + (−2)) ÷ 2 = 2.5
12.Find the midpoint of the segment joining (−8, −2) and (−7, 1).

Answer: (−7.5, −0.5)

  1. x: (−8 + (−7)) ÷ 2 = −7.5
  2. y: (−2 + 1) ÷ 2 = −0.5
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