Question

dilate \\( \triangle abc \\) with a scale factor of 7. enter the new coordinates. \\( a=(\square,\square) \\) \\( b=(\square,\square) \\) \\( c=(\square,\square) \\)

Explanation:

Step1: Recall the dilation formula

For a point \((x,y)\) dilated with a scale factor \(k\), the new point is \((kx,ky)\). Here \(k = 7\).

Step2: Find \(A'\)

For \(A(-3,2)\), \(x=-3,y = 2\). Then \(A'=(7\times(-3),7\times2)=(-21,14)\).

Step3: Find \(B'\)

For \(B(4,2)\), \(x = 4,y=2\). Then \(B'=(7\times4,7\times2)=(28,14)\).

Step4: Find \(C'\)

For \(C(-1,-1)\), \(x=-1,y=-1\). Then \(C'=(7\times(-1),7\times(-1))=(-7,-7)\).

Answer:

\(A'=(-21,14)\), \(B'=(28,14)\), \(C'=(-7,-7)\)