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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 (5, 1)?
  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.

2.Find the midpoint of the segment joining (−7, 7) and (9, −9).

Answer: (1, −1)

  1. x: (−7 + 9) ÷ 2 = 1
  2. y: (7 + (−9)) ÷ 2 = −1
3.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.

4.Find the midpoint of the segment joining (7, −3) and (−3, 4).

Answer: (2, 0.5)

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

6.In which quadrant is the point (9, −6)?
  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.

7.Find the midpoint of the segment joining (−4, 9) and (9, 2).

Answer: (2.5, 5.5)

  1. x: (−4 + 9) ÷ 2 = 2.5
  2. y: (9 + 2) ÷ 2 = 5.5
8.Find the midpoint of the segment joining (5, −4) and (9, −6).

Answer: (7, −5)

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

Answer: (−2.5, 2.5)

  1. x: (−3 + (−2)) ÷ 2 = −2.5
  2. y: (1 + 4) ÷ 2 = 2.5
10.In which quadrant is the point (8, 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.

11.Find the midpoint of the segment joining (5, 2) and (−3, −6).

Answer: (1, −2)

  1. x: (5 + (−3)) ÷ 2 = 1
  2. y: (2 + (−6)) ÷ 2 = −2
12.In which quadrant is the point (−5, −5)?
  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.

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