To make bigger shapes using different scale factors, you first need to find the center of enlargement. This is the point you will use to grow the shape.

For example, imagine you have a triangle with points at (1, 2), (2, 3), and (3, 1). If you choose the point (0, 0) as your center of enlargement, you’re ready to scale!

Next, you need to decide on your scale factor. If the scale factor is bigger than 1, like 2, it will make the triangle bigger.

To find the new points, you will multiply each coordinate of the triangle by the scale factor.

Here’s how it works:

• The point (1, 2) becomes (1 × 2, 2 × 2) = (2, 4)
• The point (2, 3) becomes (2 × 2, 3 × 2) = (4, 6)
• The point (3, 1) becomes (3 × 2, 1 × 2) = (6, 2)

So, the new, larger triangle will have points at (2, 4), (4, 6), and (6, 2).