Year 9 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 4 — Answers

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

Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Geometry

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 (5, 1)?

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, 3.5)

3.Find the midpoint of the segment joining (8, 4) and (5, 7).

Answer: (6.5, 5.5)

4.Find the midpoint of the segment joining (−8, 7) and (2, 5).

Answer: (−3, 6)

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

Answer: third

x is negative and y is negative, so the point is in the third quadrant.

6.Find the midpoint of the segment joining (9, −3) and (−7, 5).

Answer: (1, 1)

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

Answer: (−0.5, 0)

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

Answer: fourth

x is positive and y is negative, so the point is in the fourth quadrant.

9.Find the midpoint of the segment joining (7, −2) and (7, 0).

Answer: (7, −1)

10.In which quadrant is the point (−5, 2)?

Answer: second

x is negative and y is positive, so the point is in the second quadrant.

11.Find the midpoint of the segment joining (−5, −2) and (−3, −4).

Answer: (−4, −3)

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

Answer: (0, −4)

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