حل السؤال 10، 4MA1/1HR يونيو 2023: التكبير

1. 1The shaded triangle has vertices (7, 13), (7, 4) and (13, 4)
2. 2The centre of enlargement is (1, 7) and the scale factor is 1/3, so each vertex moves to one third of its distance from (1, 7)
3. 3(7, 13): from the centre the vector is (6, 6); one third of this is (2, 2), giving (1 + 2, 7 + 2) = (3, 9)
4. 4(7, 4): from the centre the vector is (6, −3); one third of this is (2, −1), giving (1 + 2, 7 − 1) = (3, 6)
5. 5(13, 4): from the centre the vector is (12, −3); one third of this is (4, −1), giving (1 + 4, 7 − 1) = (5, 6)
6. 6Join the points: the image is a triangle with vertices (3, 9), (3, 6) and (5, 6), with a vertical side of 3 units and a horizontal side of 2 units

AnswerA triangle with vertices (3, 9), (3, 6) and (5, 6)