Question

1. the triangle below is dilated by a scale factor of 5. what are the dimensions of the new triangle? was the dilation an enlargement or reduction? 12 mm 18 mm

Explanation:

Step1: Calculate the new dimensions

When a figure is dilated by a scale factor \(k\), the new length \(L_{new}=k\times L_{old}\).
For the side of length \(12\) mm: \(12\times5 = 60\) mm.
For the side of length \(18\) mm: \(18\times5=90\) mm.

Step2: Determine if it is an enlargement or reduction

Since the scale factor \(k = 5>1\), when \(k> 1\), the dilation is an enlargement.

Answer:

The dimensions of the new triangle are \(60\) mm and \(90\) mm. The dilation is an enlargement.