Starter 6 Original 4 12 2 x Original 1 4 3 x Original 6 90 2 16 36 8 15 10 12 2 40 5 10 4 3
Enlargement Aim: To enlarge shapes from a given centre of enlargement and scale factor. And we increase its size by a factor of two. We have our original photo.
8 7 Enlarge the green rectangle by a factor of 2 from the given centre of enlargement. 6 This 5 measurementis unit. now 2 becomes 4 4 units. 3 2 Centre of 1 enlargement -2 This measurement is 3 becomes units. This measurement now 6 units. 0 -1 1 2 our 3 measurements 4 5 6 7 8 9 10 Now we multiply First we measure the distance -1 by the scale factor. . from centre of enlargement to each corner of shape. -2
Steps for enlargement: 1: Measure distance from centre of enlargement to corners of shape. 2: Multiply the distances by the scale factor. 3: Use these calculations to find the corners of the enlarged shape. 4: Join points to give the enlarged shape.
Enlarge the blue square by a factor of 2 from the given centre of enlargement. Centre of enlargement
Plenary How do we find the centre of enlargement for this pair of shapes? A 18 units Draw lines joining the corners of the shape, and continuing till they cross. What is the scale of enlargement for this shape A to B? B A 6 units Divide the large measurement by the smaller measurement to give 18 ÷ 6 = 3 A 18 units A 6 units