Question

graph the image of parallelogram qrst after a dilation with a scale factor of 5, centered at the origin.

Explanation:

Step1: Identify original coordinates

From graph: \(Q(-2,1)\), \(R(0,1)\), \(S(1,2)\), \(T(-1,2)\)

Step2: Apply dilation (scale factor 5, origin center)

Multiply each coordinate by 5:
\(Q' = (-2×5,1×5)=(-10,5)\)
\(R' = (0×5,1×5)=(0,5)\)
\(S' = (1×5,2×5)=(5,10)\)
\(T' = (-1×5,2×5)=(-5,10)\)

Step3: Plot new points and connect

Draw \(Q'R'S'T'\) with the new coordinates.

Answer:

The image of parallelogram QRST after dilation has vertices at \(Q'(-10,5)\), \(R'(0,5)\), \(S'(5,10)\), \(T'(-5,10)\) (plot these points to form the new parallelogram).