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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.In which quadrant is the point (−1, 7)?
  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.

2.Find the midpoint of the segment joining (−3, 9) and (6, 0).

Answer: (1.5, 4.5)

  1. x: (−3 + 6) ÷ 2 = 1.5
  2. y: (9 + 0) ÷ 2 = 4.5
3.In which quadrant is the point (−2, −4)?
  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.

4.In which quadrant is the point (−4, −2)?
  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.

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

Answer: (−4, 0)

  1. x: (−4 + (−4)) ÷ 2 = −4
  2. y: (5 + (−5)) ÷ 2 = 0
6.In which quadrant is the point (−3, −1)?
  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.

7.Find the midpoint of the segment joining (4, 0) and (−2, −1).

Answer: (1, −0.5)

  1. x: (4 + (−2)) ÷ 2 = 1
  2. y: (0 + (−1)) ÷ 2 = −0.5
8.Find the midpoint of the segment joining (7, 2) and (0, −1).

Answer: (3.5, 0.5)

  1. x: (7 + 0) ÷ 2 = 3.5
  2. y: (2 + (−1)) ÷ 2 = 0.5
9.In which quadrant is the point (5, 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.

10.In which quadrant is the point (3, 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.

11.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.

12.Find the midpoint of the segment joining (−4, −8) and (−5, 3).

Answer: (−4.5, −2.5)

  1. x: (−4 + (−5)) ÷ 2 = −4.5
  2. y: (−8 + 3) ÷ 2 = −2.5
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