Question

quadrilateral abcd with vertices a(-4,1), b(-2,3), c(0,-2), and d(-5,-2): k = 3
a (__,__)
b (__,__)
c (__,__)
d (__,__)
what are the new vertices using the sc tor?

Explanation:

Step1: Apply the scale factor to x - coordinate

Multiply the x - coordinate of each vertex by \(k = 3\).
For \(A(-4,1)\): \(x=-4\times3=-12\)
For \(B(-2,3)\): \(x = - 2\times3=-6\)
For \(C(0,-2)\): \(x=0\times3 = 0\)
For \(D(-5,-2)\): \(x=-5\times3=-15\)

Step2: Apply the scale factor to y - coordinate

Multiply the y - coordinate of each vertex by \(k = 3\).
For \(A(-4,1)\): \(y = 1\times3=3\)
For \(B(-2,3)\): \(y=3\times3 = 9\)
For \(C(0,-2)\): \(y=-2\times3=-6\)
For \(D(-5,-2)\): \(y=-2\times3=-6\)

Answer:

\(A'(-12,3)\), \(B'(-6,9)\), \(C'(0,-6)\), \(D'(-15,-6)\)