Question

Line k is mapped to line k' by a dilation. If lines k and k' share point A in common, which statement must be true?A)Lines k and k' are perpendicular.B)Point A must be the center of dilation.C)Lines k and k' intersect only at point A.D)The center of dilation must lie on line k.

Answer 1

Dilation could be an enlargement or a reduction. If line k is mapped to line k', it means that k' is a reduction or an enlargement of k. If point A is common to both lines, then it means that Lines k and k' intersect only at point A.

Thus, the correct option is C