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Year 7 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 3 — 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 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 (6, −1)?
  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 (7, −9)?
  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.Find the midpoint of the segment joining (3, 7) and (−3, 0).

Answer: (0, 3.5)

  1. x: (3 + (−3)) ÷ 2 = 0
  2. y: (7 + 0) ÷ 2 = 3.5
4.In which quadrant is the point (4, −9)?
  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.

5.Find the midpoint of the segment joining (−2, −4) and (−7, 9).

Answer: (−4.5, 2.5)

  1. x: (−2 + (−7)) ÷ 2 = −4.5
  2. y: (−4 + 9) ÷ 2 = 2.5
6.In which quadrant is the point (−5, −7)?
  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 (−9, −1) and (3, −4).

Answer: (−3, −2.5)

  1. x: (−9 + 3) ÷ 2 = −3
  2. y: (−1 + (−4)) ÷ 2 = −2.5
8.Find the midpoint of the segment joining (−3, 1) and (0, −3).

Answer: (−1.5, −1)

  1. x: (−3 + 0) ÷ 2 = −1.5
  2. y: (1 + (−3)) ÷ 2 = −1
9.Find the midpoint of the segment joining (−2, −4) and (−8, −6).

Answer: (−5, −5)

  1. x: (−2 + (−8)) ÷ 2 = −5
  2. y: (−4 + (−6)) ÷ 2 = −5
10.Find the midpoint of the segment joining (−2, −3) and (2, 3).

Answer: (0, 0)

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

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