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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 (0, 7) and (−8, 4).

Answer: (−4, 5.5)

  1. x: (0 + (−8)) ÷ 2 = −4
  2. y: (7 + 4) ÷ 2 = 5.5
2.Find the midpoint of the segment joining (7, −2) and (−9, 3).

Answer: (−1, 0.5)

  1. x: (7 + (−9)) ÷ 2 = −1
  2. y: (−2 + 3) ÷ 2 = 0.5
3.Find the midpoint of the segment joining (−8, 0) and (0, −3).

Answer: (−4, −1.5)

  1. x: (−8 + 0) ÷ 2 = −4
  2. y: (0 + (−3)) ÷ 2 = −1.5
4.Find the midpoint of the segment joining (0, 9) and (−2, −9).

Answer: (−1, 0)

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

6.In which quadrant is the point (9, −4)?
  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.In which quadrant is the point (7, −9)?
  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 (−4, −3) and (−1, −4).

Answer: (−2.5, −3.5)

  1. x: (−4 + (−1)) ÷ 2 = −2.5
  2. y: (−3 + (−4)) ÷ 2 = −3.5
9.In which quadrant is the point (5, −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.

10.In which quadrant is the point (9, 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.

11.In which quadrant is the point (−2, 5)?
  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.

12.Find the midpoint of the segment joining (−6, 9) and (−4, −9).

Answer: (−5, 0)

  1. x: (−6 + (−4)) ÷ 2 = −5
  2. y: (9 + (−9)) ÷ 2 = 0
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