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Point A is plotted at (4, -2) on this one-centimetre square grid - OCR - GCSE Maths - Question 7 - 2020 - Paper 3
Question 7
Point A is plotted at (4, -2) on this one-centimetre square grid. Point A is a corner of a square with area 36 cm². The other corners of the square have integer coo... show full transcript
Worked Solution & Example Answer:Point A is plotted at (4, -2) on this one-centimetre square grid - OCR - GCSE Maths - Question 7 - 2020 - Paper 3
Step 1
Step 2
Identify the coordinates of the opposite corner
Answer
Since the square has a side length of 6 cm and point A is at (4, -2), we can determine the coordinates of the diagonally opposite corner by moving 6 units horizontally and vertically from point A. There are two possible configurations:
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Moving to the right (positive x direction) and up (positive y direction):
- New coordinates: (4 + 6, -2 + 6) = (10, 4)
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Moving to the left (negative x direction) and down (negative y direction):
- New coordinates: (4 - 6, -2 - 6) = (-2, -8)
Thus, the diagonally opposite corners are (10, 4) and (-2, -8). Since we only need one corner:
The coordinates of the corner diagonally opposite point A are (10, 4).