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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.In which quadrant is the point (6, 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 (8, 2) and (−5, −6).

Answer: (1.5, −2)

  1. x: (8 + (−5)) ÷ 2 = 1.5
  2. y: (2 + (−6)) ÷ 2 = −2
3.In which quadrant is the point (−4, 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.

4.In which quadrant is the point (5, −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.

5.Find the midpoint of the segment joining (9, −1) and (8, 1).

Answer: (8.5, 0)

  1. x: (9 + 8) ÷ 2 = 8.5
  2. y: (−1 + 1) ÷ 2 = 0
6.In which quadrant is the point (−1, −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.

7.Find the midpoint of the segment joining (6, 7) and (8, 2).

Answer: (7, 4.5)

  1. x: (6 + 8) ÷ 2 = 7
  2. y: (7 + 2) ÷ 2 = 4.5
8.Find the midpoint of the segment joining (5, 1) and (2, −6).

Answer: (3.5, −2.5)

  1. x: (5 + 2) ÷ 2 = 3.5
  2. y: (1 + (−6)) ÷ 2 = −2.5
9.In which quadrant is the point (7, −8)?
  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.Find the midpoint of the segment joining (9, 6) and (1, 1).

Answer: (5, 3.5)

  1. x: (9 + 1) ÷ 2 = 5
  2. y: (6 + 1) ÷ 2 = 3.5
11.In which quadrant is the point (9, 6)?
  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 (8, −6) and (−1, −8).

Answer: (3.5, −7)

  1. x: (8 + (−1)) ÷ 2 = 3.5
  2. y: (−6 + (−8)) ÷ 2 = −7
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