I’d ABCD is dilated by a scale factor of 2 about point E, which of the following is true about line segment E’F’

Option (4) will be the correct option.

    Given in the question,

Option (1). E'F' is perpendicular to EF.

Since, center of dilation of ABCD is at E, E' will coincide point E.

Therefore, EF and E'F' can't be perpendicular.

Option (2). E'F' is parallel to EF.

Since, center of dilation of ABCD is at E, point E' will coincide point E.

Therefore, E'F' can't be parallel.

Option (3). E'F' intersects with point B'.

Since, center of dilation of ABCD is at E, EF will lie on E'F'.

Therefore, E'F' cant intersect point B'.

Option (4). E'F' passes through center of dilation.

Since, center of dilation of ABCD is at E, therefore, E'F' will pass through the center of dilation E.

  Therefore, Option (4) is the correct option.

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Line Segment EF passes through the center of the dilatation

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