This is a one-centimetre square grid - OCR - GCSE Maths - Question 5 - 2023 - Paper 3
Question 5
This is a one-centimetre square grid.
(a) On the grid, plot point A at (-3, 3).
(b) The line AB joins point A to point B. Point B is at (2, 3).
Find the length of ... show full transcript
Worked Solution & Example Answer:This is a one-centimetre square grid - OCR - GCSE Maths - Question 5 - 2023 - Paper 3
Step 1
Plot point A at (-3, 3)
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Answer
To plot point A, locate the coordinates on the grid where the x-value is -3 and the y-value is 3. Mark this point clearly on the grid.
Step 2
Find the length of line AB
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Answer
To find the length of line AB, use the distance formula:
d=extsqrt((x2−x1)2+(y2−y1)2)
Substituting the coordinates of points A (-3, 3) and B (2, 3): d=extsqrt((2−(−3))2+(3−3)2)=extsqrt(52)=5
Therefore, the length of line AB is 5 cm.
Step 3
Draw the line x = 2
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Answer
To draw the line x = 2, draw a vertical line on the grid that crosses the x-axis at the point (2, 0) and extends in both directions vertically.
Step 4
Find the coordinates of point D
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Answer
Since ABCD is a square and point C lies on the line x = 2, and point B already established coordinates (2, 3), point D will be at (2 - 5, 3) since the length of side AB, which is 5. Therefore, point D is at (-3, 0).
