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16 Four identical trapeziums are placed on a coordinate grid as shown - OCR - GCSE Maths - Question 16 - 2018 - Paper 1

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16 Four identical trapeziums are placed on a coordinate grid as shown. Not to scale (a) Write down algebraic expressions for the coordinates of point P. (b) The c... show full transcript

Worked Solution & Example Answer:16 Four identical trapeziums are placed on a coordinate grid as shown - OCR - GCSE Maths - Question 16 - 2018 - Paper 1

Step 1

Write down algebraic expressions for the coordinates of point P.

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Answer

The coordinates of point P can be expressed as

a = a

b = b

Thus, the coordinates are given by:

P(a, b).

Step 2

The coordinates of point Q are (16, 13). Work out the value of a and the value of b.

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Answer

Since point Q is at (16, 13), we can relate point P's coordinates to Q.

Given the horizontal distance between points P and Q is

a=16a = 16

For the vertical distance, we note that

b=13b = 13.

Therefore:

  • a = 16
  • b = 13

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