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A pattern is made from four congruent right-angled triangles - OCR - GCSE Maths - Question 7 - 2020 - Paper 1
Question 7
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 coordina... show full transcript
Worked Solution & Example Answer:A pattern is made from four congruent right-angled triangles - OCR - GCSE Maths - Question 7 - 2020 - Paper 1
Step 1
Step 2
Work out the coordinates of point D
Answer
Point D is directly below point C and follows the right-angled triangle pattern. The x-coordinate remains the same as C, which is 17. To find the y-coordinate of point D, we need to calculate the vertical distance down to the x-axis, which is the same as the distance from A to B in the y-direction.
The y-coordinate of point B is 12 and that of point A is 9, giving a height of 12 - 9 = 3. Since D is three units below point C (which has a y-coordinate of 9), the y-coordinate of point D is 9 - 3 = 6. Therefore, the coordinates of point D are (17, 6).