Chapter 12.7, Problem 1C

To determine

To graph: draw triangle $ABC$ with vertices $A\left(4,0\right),B\left(4,4\right)\text{ and C}\left(-4,0\right)$ and also find the coordinates of the vertices of the image after a dilation having a scale factor of 4

Explanation of Solution

Given information: the coordinates of triangles ABC are as follows: $A\left(4,0\right),B\left(4,4\right)\text{ and C}\left(-4,0\right)$

Graph: first draw triangle $ABC$ with vertices $A\left(4,0\right),B\left(4,4\right)\text{ and C}\left(-4,0\right)$ then dilate $ABC$ ,multiply the $x$ and $y$ coordinates having a scale factor of 4

Original	Image
$(x,y)$	$\left(4x,4y\right)$
$A(4,0)$	$P(16,0)$
$B(4,4)$	$Q(16,16)$
$C(-4,0)$	$R(-16,0)$

Finally draw a triangle $PQR$ , as shown below

Interpretation: Hence, the vertices of image after dilation are $P\left(16,0\right),Q\left(16,16\right)\text{ and R}\left(-16,0\right)$