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Year 10 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 10 geometry worksheet.

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Year 10 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 4 — 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, 6)?
  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.

2.In which quadrant is the point (−7, −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.

3.In which quadrant is the point (7, 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.

4.Find the midpoint of the segment joining (−8, −4) and (4, 6).

Answer: (−2, 1)

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

6.In which quadrant is the point (4, −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.

7.In which quadrant is the point (8, −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.

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

Answer: (−1.5, −6)

  1. x: (−5 + 2) ÷ 2 = −1.5
  2. y: (−6 + (−6)) ÷ 2 = −6
9.Find the midpoint of the segment joining (−1, −7) and (2, −3).

Answer: (0.5, −5)

  1. x: (−1 + 2) ÷ 2 = 0.5
  2. y: (−7 + (−3)) ÷ 2 = −5
10.In which quadrant is the point (5, 4)?
  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 (8, −7) and (−5, −5).

Answer: (1.5, −6)

  1. x: (8 + (−5)) ÷ 2 = 1.5
  2. y: (−7 + (−5)) ÷ 2 = −6
12.In which quadrant is the point (6, 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.

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