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Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 3 — Answers

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

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Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 3 — 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 (2, −1) and (−1, 2).

Answer: (0.5, 0.5)

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

3.In which quadrant is the point (−6, 3)?
  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.Find the midpoint of the segment joining (6, 2) and (−8, −4).

Answer: (−1, −1)

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

6.In which quadrant is the point (−7, −5)?
  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.In which quadrant is the point (−9, −1)?
  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.

8.In which quadrant is the point (−1, −1)?
  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 (−9, −1) and (8, −2).

Answer: (−0.5, −1.5)

  1. x: (−9 + 8) ÷ 2 = −0.5
  2. y: (−1 + (−2)) ÷ 2 = −1.5
10.In which quadrant is the point (9, 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.

11.In which quadrant is the point (4, 7)?
  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 (4, 4) and (9, 8).

Answer: (6.5, 6)

  1. x: (4 + 9) ÷ 2 = 6.5
  2. y: (4 + 8) ÷ 2 = 6
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