If \( \triangle L M N \) is dilated by a scale factor of 0.5 , which of the following statements is not true? A. The sides of \( \triangle L M N \) are congruent to the sides of \( \triangle L^{\prime} M^{\prime} N^{\prime} \). B. \( \triangle L M N \) is similar to \( \triangle L^{\prime} M^{\prime} N^{\prime} \). C. The angles of \( \triangle L M N \) are congruent to the angles of \( \triangle L^{\prime} M^{\prime} N^{\prime} \). D. \( \triangle L^{\prime} M^{\prime} N^{\prime} \) is smaller than \( \triangle L M N \).

The statement that is not true is A. When a triangle is dilated by a scale factor, its sides do not remain congruent; instead, they are reduced in size according to the scale factor. So in this case, the sides of \( \triangle L M N \) will be half the length of the corresponding sides of \( \triangle L^{\prime} M^{\prime} N^{\prime} \). On the bright side, statements B, C, and D are indeed true! The triangles are similar, maintaining their shape but altering their size. The angles remain congruent, and \( \triangle L^{\prime} M^{\prime} N^{\prime} \) will indeed be smaller than \( \triangle L M N \) since you're scaling down by 50%! It's a fun way to explore the relationship between shapes in geometry.