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Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the Year 8 geometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Geometry

Year 8 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, 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.

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

Answer: (6, 2)

  1. x: (3 + 9) ÷ 2 = 6
  2. y: (2 + 2) ÷ 2 = 2
3.In which quadrant is the point (−5, −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 (4, 5) and (9, −1).

Answer: (6.5, 2)

  1. x: (4 + 9) ÷ 2 = 6.5
  2. y: (5 + (−1)) ÷ 2 = 2
5.Find the midpoint of the segment joining (−1, 0) and (−1, −9).

Answer: (−1, −4.5)

  1. x: (−1 + (−1)) ÷ 2 = −1
  2. y: (0 + (−9)) ÷ 2 = −4.5
6.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.

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

Answer: (1.5, 4.5)

  1. x: (−5 + 8) ÷ 2 = 1.5
  2. y: (4 + 5) ÷ 2 = 4.5
8.In which quadrant is the point (3, −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.

9.Find the midpoint of the segment joining (−2, 3) and (−6, 4).

Answer: (−4, 3.5)

  1. x: (−2 + (−6)) ÷ 2 = −4
  2. y: (3 + 4) ÷ 2 = 3.5
10.Find the midpoint of the segment joining (−3, −8) and (−1, −2).

Answer: (−2, −5)

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

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