Question

The orange shape is a dilation of the black shape. The scale factor is _____.(This is a practice quiz!)

Answer 1

k = 4

1) Examining each leg of those triangles we can say that

The black one (larger): has its base measuring 12 units

The orange one (smaller) has a base whose width is 3 units

2) If we count the vertical and horizontal displacement of the greater one, we can state that the black shape is the dilated version, with a scale factor of 4

3) Then the scale factor is 4

Because the other legs of the black shape are 4 times greater than the orange one.