Question

(3 points)Two transformations were performed on Triangle ABC. The first transformation was a reflection over the . The second transformation was a . The second transformation was and . Question 2(1 point)Are the shapes congruent? How do you know?

Answer 1

To determine if the shapes are congruent after the two transformations performed on Triangle ABC, we need to consider the properties of the transformations:

1. **Reflection**: Reflecting a shape over a line produces a congruent shape. The reflected image will have the same side lengths and angles as the original shape.

2. **Second Transformation**: You mentioned that the second transformation was a "transformation" followed by "and". If the second transformation is either a rotation or another reflection, the resulting shape will still be congruent to the original triangle. If it is a translation, the shape will also remain congruent.

In summary, as long as the transformations are reflections, rotations, or translations, Triangle ABC and the resulting shape will be congruent.

### Answer to Question 2:
Yes, the shapes are congruent. This is because the transformations involved (reflection and potentially rotation or translation) preserve the size and shape of Triangle ABC.