Year 7 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 7 geometry worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · GeometryYear 7 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 3 — Answers
Midpoint = (average of the x-values, average of the y-values). Distance: use Pythagoras with the horizontal and vertical changes.
1.Find the midpoint of the segment joining (9, −1) and (0, −5).
Answer: (4.5, −3)
- x: (9 + 0) ÷ 2 = 4.5
- y: (−1 + (−5)) ÷ 2 = −3
2.Find the midpoint of the segment joining (6, 9) and (−4, −4).
Answer: (1, 2.5)
- x: (6 + (−4)) ÷ 2 = 1
- y: (9 + (−4)) ÷ 2 = 2.5
3.Find the midpoint of the segment joining (−8, 7) and (2, −8).
Answer: (−3, −0.5)
- x: (−8 + 2) ÷ 2 = −3
- y: (7 + (−8)) ÷ 2 = −0.5
4.In which quadrant is the point (−2, 7)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: second
x is negative and y is positive, so the point is in the second quadrant.
5.In which quadrant is the point (−4, −7)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: third
x is negative and y is negative, so the point is in the third quadrant.
6.In which quadrant is the point (−6, 9)?
- Afirst
- Bsecond
- Cthird
- 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 (9, −4) and (−1, 9).
Answer: (4, 2.5)
- x: (9 + (−1)) ÷ 2 = 4
- y: (−4 + 9) ÷ 2 = 2.5
8.Find the midpoint of the segment joining (0, 7) and (−8, −7).
Answer: (−4, 0)
- x: (0 + (−8)) ÷ 2 = −4
- y: (7 + (−7)) ÷ 2 = 0
9.In which quadrant is the point (3, −2)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: fourth
x is positive and y is negative, so the point is in the fourth quadrant.
10.Find the midpoint of the segment joining (9, 6) and (2, 9).
Answer: (5.5, 7.5)
- x: (9 + 2) ÷ 2 = 5.5
- y: (6 + 9) ÷ 2 = 7.5
11.Find the midpoint of the segment joining (−3, −8) and (−2, −5).
Answer: (−2.5, −6.5)
- x: (−3 + (−2)) ÷ 2 = −2.5
- y: (−8 + (−5)) ÷ 2 = −6.5
12.Find the midpoint of the segment joining (−7, 1) and (−2, 7).
Answer: (−4.5, 4)
- x: (−7 + (−2)) ÷ 2 = −4.5
- y: (1 + 7) ÷ 2 = 4
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