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Year 7 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 7 geometry worksheet.

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Year 7 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 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 (−3, −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.

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

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

Answer: (2.5, −2.5)

  1. x: (3 + 2) ÷ 2 = 2.5
  2. y: (4 + (−9)) ÷ 2 = −2.5
4.In which quadrant is the point (−5, 9)?
  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.

5.In which quadrant is the point (−2, 2)?
  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.

6.Find the midpoint of the segment joining (1, −8) and (3, 0).

Answer: (2, −4)

  1. x: (1 + 3) ÷ 2 = 2
  2. y: (−8 + 0) ÷ 2 = −4
7.In which quadrant is the point (−9, −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.

8.Find the midpoint of the segment joining (3, −5) and (−2, −6).

Answer: (0.5, −5.5)

  1. x: (3 + (−2)) ÷ 2 = 0.5
  2. y: (−5 + (−6)) ÷ 2 = −5.5
9.In which quadrant is the point (−3, −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.

10.In which quadrant is the point (1, 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.

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

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