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Year 7 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 7 geometry worksheet.

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Year 7 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.Find the midpoint of the segment joining (8, 4) and (2, 9).

Answer: (5, 6.5)

  1. x: (8 + 2) ÷ 2 = 5
  2. y: (4 + 9) ÷ 2 = 6.5
2.Find the midpoint of the segment joining (1, −1) and (3, 2).

Answer: (2, 0.5)

  1. x: (1 + 3) ÷ 2 = 2
  2. y: (−1 + 2) ÷ 2 = 0.5
3.In which quadrant is the point (−6, −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.Find the midpoint of the segment joining (9, −7) and (6, −5).

Answer: (7.5, −6)

  1. x: (9 + 6) ÷ 2 = 7.5
  2. y: (−7 + (−5)) ÷ 2 = −6
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 (−7, 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.

7.In which quadrant is the point (4, −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.

8.In which quadrant is the point (−7, −6)?
  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.

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

Answer: (1, −0.5)

  1. x: (−5 + 7) ÷ 2 = 1
  2. y: (4 + (−5)) ÷ 2 = −0.5
10.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.

11.In which quadrant is the point (6, −2)?
  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 (−9, −6) and (9, 0).

Answer: (0, −3)

  1. x: (−9 + 9) ÷ 2 = 0
  2. y: (−6 + 0) ÷ 2 = −3
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