Question

1. dilate with a scale factor of 0.5. graph ( xyz ) and give the ordered pairs. ( x ) ( y ) ( z )

Explanation:

Step1: Find the coordinates of \(X\), \(Y\), \(Z\)

From the graph, \(X=(6,5)\), \(Y=(18,17)\), \(Z=(6,15)\)

Step2: Apply the dilation formula

The dilation formula is \((x,y)\to(kx,ky)\) where \(k = 0.5\)
For \(X=(6,5)\):
\(X'=(0.5\times6,0.5\times5)=(3,2.5)\)
For \(Y=(18,17)\):
\(Y'=(0.5\times18,0.5\times17)=(9,8.5)\)
For \(Z=(6,15)\):
\(Z'=(0.5\times6,0.5\times15)=(3,7.5)\)

Answer:

\(X'=(3,2.5)\), \(Y'=(9,8.5)\), \(Z'=(3,7.5)\)