Question

triangle jkl shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation. which scale factor was used to create triangle jkl? 4 2 3/4 1/2

Explanation:

Step1: Find coordinates of corresponding points

Let's assume coordinates of \(J\) is \((5,5)\) and \(J'\) is \((10,10)\)

Step2: Calculate scale factor

Scale factor \(k=\frac{x - coordinate\ of\ J'}{x - coordinate\ of\ J}=\frac{10}{5} = 2\) (also \(\frac{y - coordinate\ of\ J'}{y - coordinate\ of\ J}=\frac{10}{5}=2\))

Answer:

2