Two transformations were performed on Triangle ABC. The

Question

first transformation was a reflection over the
The second transformation was a
• . The
second transformation was
and
^
Check Answer
(1 point)
Are the shapes congruent? How do you
know?

Answer 1

To determine if the shapes are congruent after the transformations performed on Triangle ABC, we need to analyze the types of transformations mentioned.

1. Reflection: Reflections are rigid motions, meaning they do not change the size or shape of the figure. A reflection flips the triangle over a line (the line of reflection), but the size and angles of Triangle ABC remain unchanged.

2. Second Transformation: You haven't specified what the second transformation is, but if it is another rigid motion (like a rotation or another reflection), then Triangle ABC after both transformations will remain congruent to the original Triangle ABC.

In general, any combination of rigid motions (reflections, rotations, translations) does not alter the congruence of shapes. Therefore, if the second transformation is one of these types, Triangle ABC and the resulting triangle after both transformations will be congruent.

To conclude, yes, the shapes are congruent if both transformations are rigid motions. To assert congruence, one can state that all corresponding sides and angles are preserved through these transformations.