QuestionWhich descriptions from the list below accurately describe the relationship between $\triangle A B C$ and $\triangle_{E} D E F$ ? Check all that apply. A. Same area B. Same size C. Congruent D. Congruent after a dilation

Studdy Solution
Determine if $\triangle ABC$ and $\triangle DEF$ are congruent after a dilation. A dilation changes the size but not the shape, meaning the angles remain the same and the side lengths are proportional.
The side lengths of $\triangle DEF$ are exactly twice those of $\triangle ABC$: $$\frac{6}{3} = \frac{8}{4} = \frac{10}{5} = 2$$ Since the side lengths are proportional and the angles are the same (37° and 53°), $\triangle DEF$ is congruent to $\triangle ABC$ after a dilation by a factor of 2.
Solution: - A. Same area: False - B. Same size: False - C. Congruent: False - D. Congruent after a dilation: True