Question

Lines a and b are perpendicular. Line a is dilated with a center of dilation P that lies on line b. Which statement is true?A)Line a′ is only parallel to line b.B)Line b is parallel to both lines a and a′.C)Line a is only perpendicular to line a′.D)Line b is perpendicular to both lines a′ and a.

Answer 1

Line a is perpendicular to line b.

After the dilation of line a with a center of dilation being a point that lies on line b, a new line a' will be generated, and this line will also be perpendicular to line b.

Therefore the only statement that is true is D.