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.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · GeometryYear 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.Find the midpoint of the segment joining (−2, −2) and (−7, 7).
Answer: (−4.5, 2.5)
- x: (−2 + (−7)) ÷ 2 = −4.5
- y: (−2 + 7) ÷ 2 = 2.5
2.In which quadrant is the point (−2, 5)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: second
x is negative and y is positive, so the point is in the second quadrant.
3.Find the midpoint of the segment joining (4, −2) and (3, −5).
Answer: (3.5, −3.5)
- x: (4 + 3) ÷ 2 = 3.5
- y: (−2 + (−5)) ÷ 2 = −3.5
4.Find the midpoint of the segment joining (4, 5) and (−8, −9).
Answer: (−2, −2)
- x: (4 + (−8)) ÷ 2 = −2
- y: (5 + (−9)) ÷ 2 = −2
5.Find the midpoint of the segment joining (−1, 8) and (0, −2).
Answer: (−0.5, 3)
- x: (−1 + 0) ÷ 2 = −0.5
- y: (8 + (−2)) ÷ 2 = 3
6.In which quadrant is the point (−7, −8)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: third
x is negative and y is negative, so the point is in the third quadrant.
7.In which quadrant is the point (5, 8)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: first
x is positive and y is positive, so the point is in the first quadrant.
8.In which quadrant is the point (−7, 5)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: second
x is negative and y is positive, so the point is in the second quadrant.
9.Find the midpoint of the segment joining (4, 5) and (−4, −6).
Answer: (0, −0.5)
- x: (4 + (−4)) ÷ 2 = 0
- y: (5 + (−6)) ÷ 2 = −0.5
10.Find the midpoint of the segment joining (4, −9) and (−6, 7).
Answer: (−1, −1)
- x: (4 + (−6)) ÷ 2 = −1
- y: (−9 + 7) ÷ 2 = −1
11.Find the midpoint of the segment joining (−2, −6) and (−7, 7).
Answer: (−4.5, 0.5)
- x: (−2 + (−7)) ÷ 2 = −4.5
- y: (−6 + 7) ÷ 2 = 0.5
12.Find the midpoint of the segment joining (−6, 6) and (9, 1).
Answer: (1.5, 3.5)
- x: (−6 + 9) ÷ 2 = 1.5
- y: (6 + 1) ÷ 2 = 3.5
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