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Year 9 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 9 geometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Geometry

Year 9 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 (9, 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.

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

Answer: (−2.5, 1.5)

  1. x: (−5 + 0) ÷ 2 = −2.5
  2. y: (5 + (−2)) ÷ 2 = 1.5
3.In which quadrant is the point (6, −3)?
  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.

4.Find the midpoint of the segment joining (7, −9) and (0, −9).

Answer: (3.5, −9)

  1. x: (7 + 0) ÷ 2 = 3.5
  2. y: (−9 + (−9)) ÷ 2 = −9
5.In which quadrant is the point (5, −5)?
  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.

6.In which quadrant is the point (−1, 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.

7.Find the midpoint of the segment joining (−3, 6) and (−9, −4).

Answer: (−6, 1)

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

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

10.Find the midpoint of the segment joining (−1, −3) and (9, 9).

Answer: (4, 3)

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

12.In which quadrant is the point (3, −6)?
  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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