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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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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Geometry

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 (−6, 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.

2.In which quadrant is the point (7, 8)?
  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.

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

Answer: (2, 2.5)

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

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

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

Answer: (−4, −2)

  1. x: (−4 + (−4)) ÷ 2 = −4
  2. y: (5 + (−9)) ÷ 2 = −2
8.Find the midpoint of the segment joining (−1, 3) and (−1, 0).

Answer: (−1, 1.5)

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

Answer: (7, −0.5)

  1. x: (6 + 8) ÷ 2 = 7
  2. y: (−2 + 1) ÷ 2 = −0.5
10.Find the midpoint of the segment joining (−6, −5) and (0, −4).

Answer: (−3, −4.5)

  1. x: (−6 + 0) ÷ 2 = −3
  2. y: (−5 + (−4)) ÷ 2 = −4.5
11.Find the midpoint of the segment joining (2, −8) and (7, −7).

Answer: (4.5, −7.5)

  1. x: (2 + 7) ÷ 2 = 4.5
  2. y: (−8 + (−7)) ÷ 2 = −7.5
12.Find the midpoint of the segment joining (−1, −7) and (8, 6).

Answer: (3.5, −0.5)

  1. x: (−1 + 8) ÷ 2 = 3.5
  2. y: (−7 + 6) ÷ 2 = −0.5
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