Question

Write the sequence of transformations that changes figure ABCD to figure A’B’C’D. Explain your answer and write the coordinates of the figure obtained after each transformation. Are the two figures congruent? Explain your answer.

Answer 1

We can compare a point to get the translation.

We can use the point;

`A(-4,4)`

which transforms to;

The first transformation is a reflection over the x-axis to map point A to;

`A^(\prime)(-4,-4)`

The next transformation is a translation 7 units to the right.

Therefore, the sequence of transformations are;

Part B: The two figures are congruent because the transformations used are non-rigid.