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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 (1, −5)?
  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.

2.In which quadrant is the point (5, 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.

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

Answer: (−6.5, 0)

  1. x: (−4 + (−9)) ÷ 2 = −6.5
  2. y: (−4 + 4) ÷ 2 = 0
4.In which quadrant is the point (−2, −3)?
  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.

5.Find the midpoint of the segment joining (1, −2) and (1, −9).

Answer: (1, −5.5)

  1. x: (1 + 1) ÷ 2 = 1
  2. y: (−2 + (−9)) ÷ 2 = −5.5
6.In which quadrant is the point (−5, 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.

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

8.In which quadrant is the point (−7, −8)?
  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, −6) and (9, 8).

Answer: (7, 1)

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

11.Find the midpoint of the segment joining (1, −7) and (−2, −5).

Answer: (−0.5, −6)

  1. x: (1 + (−2)) ÷ 2 = −0.5
  2. y: (−7 + (−5)) ÷ 2 = −6
12.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.

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