Use the image to answer the question.

Question

2 similarly shaped triangles upper A upper B upper C and upper D upper B upper C share the common side upper B upper C.

What transformation would cause ΔABC→ΔDBC
?

Option #1: dilation

Option #2: reflection

Option #3: rotation

Option #4: translation

(1 point)
The correct response is Option #
.

Answer 1

To determine the transformation that maps triangle \( \triangle ABC \) to triangle \( \triangle DBC \), we can observe that both triangles share the common side \( BC \).

The transformation that would transform \( \triangle ABC \) into \( \triangle DBC \) involves moving triangle \( ABC \) to the position of triangle \( DBC \) such that it lines up with the location of point \( D \).

Since \( DBC \) is related to \( ABC \) by reflecting across line \( BC \), the correct transformation would be reflection.

Thus, the correct response is Option #2: reflection.