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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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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Geometry

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 (−9, −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 (−2, −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.

3.Find the midpoint of the segment joining (7, 1) and (−3, −5).

Answer: (2, −2)

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

5.Find the midpoint of the segment joining (6, −9) and (7, 1).

Answer: (6.5, −4)

  1. x: (6 + 7) ÷ 2 = 6.5
  2. y: (−9 + 1) ÷ 2 = −4
6.In which quadrant is the point (1, −7)?
  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 (3, 5)?
  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.

8.Find the midpoint of the segment joining (−6, −3) and (−4, 1).

Answer: (−5, −1)

  1. x: (−6 + (−4)) ÷ 2 = −5
  2. y: (−3 + 1) ÷ 2 = −1
9.In which quadrant is the point (−2, −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.Find the midpoint of the segment joining (9, 2) and (−5, 2).

Answer: (2, 2)

  1. x: (9 + (−5)) ÷ 2 = 2
  2. y: (2 + 2) ÷ 2 = 2
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 (−8, 7) and (−1, 2).

Answer: (−4.5, 4.5)

  1. x: (−8 + (−1)) ÷ 2 = −4.5
  2. y: (7 + 2) ÷ 2 = 4.5
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