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A pattern is made from four congruent right-angled triangles - OCR - GCSE Maths - Question 20 - 2020 - Paper 1
Question 20
A pattern is made from four congruent right-angled triangles. The line AC is parallel to the x-axis. The point A has coordinates (4, 9) and the point B has coordinat... show full transcript
Worked Solution & Example Answer:A pattern is made from four congruent right-angled triangles - OCR - GCSE Maths - Question 20 - 2020 - Paper 1
Step 1
Work out the coordinates of point C
Answer
Since line AC is parallel to the x-axis, the y-coordinate of point C will be the same as point A. Therefore, the coordinates of point C can be determined as follows:
- The x-coordinate of point C can be found from the x-coordinate of point B, which is 17. Thus, the coordinates of point C are (17, 9).
Step 2
Work out the coordinates of point D
Answer
Point D is vertically aligned with point A, meaning its x-coordinate will be the same as point A. The y-coordinate of point D must be the same as point B's, so:
- The x-coordinate of point D is 4 (from point A) and the y-coordinate is 12 (from point B). Therefore, the coordinates of point D are (4, 12).