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Year 11 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the Year 11 geometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Geometry

Year 11 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.Find the midpoint of the segment joining (−7, −7) and (4, 7).

Answer: (−1.5, 0)

  1. x: (−7 + 4) ÷ 2 = −1.5
  2. y: (−7 + 7) ÷ 2 = 0
2.In which quadrant is the point (−1, −3)?
  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 (−3, 3)?
  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 (−2, −2) and (−7, −6).

Answer: (−4.5, −4)

  1. x: (−2 + (−7)) ÷ 2 = −4.5
  2. y: (−2 + (−6)) ÷ 2 = −4
5.In which quadrant is the point (5, 7)?
  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 (6, 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.

7.In which quadrant is the point (2, −8)?
  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.

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

Answer: (−4, 6)

  1. x: (0 + (−8)) ÷ 2 = −4
  2. y: (3 + 9) ÷ 2 = 6
9.Find the midpoint of the segment joining (1, −9) and (−4, 7).

Answer: (−1.5, −1)

  1. x: (1 + (−4)) ÷ 2 = −1.5
  2. y: (−9 + 7) ÷ 2 = −1
10.Find the midpoint of the segment joining (−7, 3) and (−8, 9).

Answer: (−7.5, 6)

  1. x: (−7 + (−8)) ÷ 2 = −7.5
  2. y: (3 + 9) ÷ 2 = 6
11.Find the midpoint of the segment joining (1, −3) and (−5, −6).

Answer: (−2, −4.5)

  1. x: (1 + (−5)) ÷ 2 = −2
  2. y: (−3 + (−6)) ÷ 2 = −4.5
12.Find the midpoint of the segment joining (0, 8) and (−8, −1).

Answer: (−4, 3.5)

  1. x: (0 + (−8)) ÷ 2 = −4
  2. y: (8 + (−1)) ÷ 2 = 3.5
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