Triangle JKL is reflected over the y-axis and then dilated by a scale factor of 2 centered at the origin. Which of the following statements describes JKL and J''K''L'' after the transformations?

Question

Triangle JKL is reflected over the y-axis and then dilated by a scale factor of 2 centered at the origin. Which of the following statements describes the properties of triangles JKL and J''K''L'' after the transformations?

1. Corresponding angles are congruent after the reflection, but not after the dilation.
2. Corresponding angles are congruent after both the dilation and the reflection.
3. Corresponding sides are congruent after the dilation, but not after the reflection.
4. Corresponding sides are congruent after both the reflection and the dilation.

Answer 1

Diana you need to read/study the material on translations, rotations, and dilations.

Answer 2

Only 2 is correct. Reflections preserve measures of angles and sides; they do nor preserve orientation. Dilations preserve side measure proportions and angle measures sizes; they also preserve orientation.

So reflections preserve congruence and similarity. Dilations only preserve similarity.