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8 (a) Shape G is drawn on the grid - OCR - GCSE Maths - Question 8 - 2019 - Paper 1
Question 8
8 (a) Shape G is drawn on the grid. Rotate shape G by 180° about the point A. (b) Shape H is drawn on the grid. Enlarge shape H with scale factor 2 and the centre... show full transcript
Worked Solution & Example Answer:8 (a) Shape G is drawn on the grid - OCR - GCSE Maths - Question 8 - 2019 - Paper 1
Step 1
Rotate shape G by 180° about the point A.
Answer
To rotate shape G by 180° about point A, locate point A on the grid. The rotation requires each point of shape G to be moved directly opposite across point A. This can be done by:
- Identifying each vertex of shape G.
- Measuring the distance from each vertex to point A.
- Moving each vertex the same distance on the opposite side of point A.
Once all vertices are repositioned, connect them to form the rotated shape.
Step 2
Enlarge shape H with scale factor 2 and the centre of enlargement at point B.
Answer
To enlarge shape H with a scale factor of 2 and centre of enlargement at point B:
- Locate point B, which serves as the reference point for the enlargement.
- For each vertex of shape H, measure the distance from point B to the vertex.
- Multiply this distance by the scale factor of 2 to find the new position of the vertex.
- Plot the new vertices on the grid.
- Once all new vertices are marked, connect them to form the enlarged shape.