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Rectangle EFGH is shown with a line IJ passing vertically through the center of the rectangle.

If rectangle EFGH is dilated by a scale factor of six about the center of the rectangle to create rectangle E'F'G'H', dilated line I'J' will:

A) remain unchanged
B) be parallel to line IJ
C) shift six units up
D) be perpendicular to line IJ

Respuesta :

The answer is
A) remain unchanged

Answer with explanation:

Pre-Image = Rectangle E F G H

Image =  Rectangle E'F'G'H',

Line I J passes through the center of rectangle,E F G H vertically.

and Line  I' J' passes through the center of rectangle E'F'G'H' vertically.

Dilation factor =6, greater than 1

Image > Pre Image

Image will be 6 times larger than Preimage.

The two rectangles will be similar.

As, the size of dilated rectangle changes 6 times,  distance between two opposite equal sides increases ,so line I' J' will be six times longer than line I J,and will be coincident.

Option B:  be parallel to line IJ is true ,describing dilated line I'J'.

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