Question

1. ccss multiple representations triangle xyz has vertices x(0,0), y(3,1) and z(2,3). a. numbers find the coordinates of the image of △xyz after a dilation with a scale factor of -2.

Explanation:

Step1: Recall the rule for dilation

When a point \((x,y)\) is dilated with a scale factor \(k\) centered at the origin, the new coordinates are \((kx,ky)\). Here \(k = - 2\).

Step2: Apply the dilation rule to each vertex

• For vertex \(X(0,0)\):

\(X'( - 2\times0,-2\times0)=(0,0)\)

• For vertex \(Y(3,1)\):

\(Y'( - 2\times3,-2\times1)=(-6,-2)\)

• For vertex \(Z(2,3)\):

\(Z'( - 2\times2,-2\times3)=(-4,-6)\)

Answer:

The coordinates of the image of \(\triangle XYZ\) are \(X'(0,0)\), \(Y'(-6,-2)\) and \(Z'(-4,-6)\)