Question

1. dilate the quadrilateral. give the ordered pairs of the image.

a(5, 1), b(-2, -3), c(-2, -4), d(5, -4)
scale factor = 5.4
a : ___________, b : ___________
c : ___________, d : ___________

Explanation:

Step1: Recall dilation rule

To dilate a point \((x,y)\) with scale factor \(k\), the new point \((x',y')\) is given by \(x' = k\times x\), \(y' = k\times y\).

Step2: Dilate point A(5,1)

For \(A(5,1)\) and \(k = 5.4\),
\(x'=5.4\times5 = 27\), \(y'=5.4\times1=5.4\). So \(A'(27, 5.4)\)

Step3: Dilate point B(-2,-3)

For \(B(-2,-3)\) and \(k = 5.4\),
\(x'=5.4\times(- 2)=- 10.8\), \(y'=5.4\times(-3)=-16.2\). So \(B'(-10.8, - 16.2)\)

Step4: Dilate point C(-2,-4)

For \(C(-2,-4)\) and \(k = 5.4\),
\(x'=5.4\times(-2)=-10.8\), \(y'=5.4\times(-4)=-21.6\). So \(C'(-10.8, - 21.6)\)

Step5: Dilate point D(5,-4)

For \(D(5,-4)\) and \(k = 5.4\),
\(x'=5.4\times5 = 27\), \(y'=5.4\times(-4)=-21.6\). So \(D'(27, - 21.6)\)

Answer:

\(A':(27, 5.4)\), \(B':(-10.8, - 16.2)\)
\(C':(-10.8, - 21.6)\), \(D':(27, - 21.6)\)