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

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

3.In which quadrant is the point (−2, 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.In which quadrant is the point (−3, −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.

5.Find the midpoint of the segment joining (−8, 2) and (−2, 0).

Answer: (−5, 1)

  1. x: (−8 + (−2)) ÷ 2 = −5
  2. y: (2 + 0) ÷ 2 = 1
6.Find the midpoint of the segment joining (−6, 9) and (−3, 0).

Answer: (−4.5, 4.5)

  1. x: (−6 + (−3)) ÷ 2 = −4.5
  2. y: (9 + 0) ÷ 2 = 4.5
7.Find the midpoint of the segment joining (−3, 0) and (2, −5).

Answer: (−0.5, −2.5)

  1. x: (−3 + 2) ÷ 2 = −0.5
  2. y: (0 + (−5)) ÷ 2 = −2.5
8.In which quadrant is the point (−5, −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.

9.In which quadrant is the point (6, −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.

10.In which quadrant is the point (−7, −9)?
  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.

11.In which quadrant is the point (−9, 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.

12.Find the midpoint of the segment joining (3, 8) and (5, 8).

Answer: (4, 8)

  1. x: (3 + 5) ÷ 2 = 4
  2. y: (8 + 8) ÷ 2 = 8
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