Question

Rectangle ABCD is shown below with a line EF drawn through its Center . if the rectangle is dilated using a scale factor of 2 and a line is drawn through the center of the new dilated figure , what relationship will that line have with line EF in the drawing below .
this is an open ended question plz help me!​

Answer 1

Answer:

overlapping

Step-by-step explanation:

Dilation is a form of transformation where a figure is shrunk or stretched from original size. if dilation factor is less than 1 and greater than 0 then figure shrinks, if dilation factor is greater than 1 then figure is stretches.

Also the center of dilation is fixed point on the plane and most dilations uses origin as point of dilation in coordinate plane.

In given case, dilation factor is 2 i.e. greater than 1 hence the rectangle ABCD will get dilated and if origin is the center of dilation then points on new line will be colliear with the points on line EF.

Hence, the line through the center of the new dilated figure will be overlapping with line EF !