Question

A dilation maps AB onto A'B'. If the coordinates of the

Answer 1

Answer:

$k = 2.5$

Step-by-step explanation:

Given

$A = (4,2)$

$A' = (10,5)$

$B = (10,6)$

$B' = (25,15)$

Required

Determine the scale factor (k)

Scale factor is calculated using:

$Old * k = New$

In this case, we have:

$AB* k = A'B'$

Make k the subject

$k = \frac{A'B'}{AB}$

Using point A and A'

$k = \frac{A'}{A}$

$k = \frac{(10,5)}{(4,2)}$

Factorize the numerator

$k = \frac{2.5(4,2)}{(4,2)}$

$k = 2.5*\frac{(4,2)}{(4,2)}$

$k = 2.5*1$

$k = 2.5$