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

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

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Geometry

Year 7 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 (6, −6) and (−7, 6).

Answer: (−0.5, 0)

  1. x: (6 + (−7)) ÷ 2 = −0.5
  2. y: (−6 + 6) ÷ 2 = 0
2.In which quadrant is the point (−2, 1)?
  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.

3.In which quadrant is the point (2, 9)?
  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.

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

5.In which quadrant is the point (−1, 6)?
  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.

6.Find the midpoint of the segment joining (−4, 8) and (−2, −6).

Answer: (−3, 1)

  1. x: (−4 + (−2)) ÷ 2 = −3
  2. y: (8 + (−6)) ÷ 2 = 1
7.Find the midpoint of the segment joining (−7, −5) and (−9, 2).

Answer: (−8, −1.5)

  1. x: (−7 + (−9)) ÷ 2 = −8
  2. y: (−5 + 2) ÷ 2 = −1.5
8.Find the midpoint of the segment joining (−8, −7) and (−2, −9).

Answer: (−5, −8)

  1. x: (−8 + (−2)) ÷ 2 = −5
  2. y: (−7 + (−9)) ÷ 2 = −8
9.In which quadrant is the point (6, 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.

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

11.Find the midpoint of the segment joining (8, 2) and (6, −4).

Answer: (7, −1)

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

Answer: (−2, 3.5)

  1. x: (−7 + 3) ÷ 2 = −2
  2. y: (0 + 7) ÷ 2 = 3.5
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