Question

Triangle ABC underwent a sequence of transformations to give triangle A'B'C' which transformations could not have taken place?

A


a reflection across the line y = x followed by a reflection across the line ya


B.


a reflection across the x-axis followed by a reflection across the yaxis

Answer 1

A

Explanation:

Answer 2

The correct option is a rotation 180° clockwise about the origin followed by a reflection across the line y = x

Explanation:

The correct option is missing from the given options:

Option A states that a reflection across the line y = x followed by a reflection across the line yaxis

These transformation map triangle ABC to triangle A'B'C' . So this option is in correct.

Option B states that a reflection across the x-axis followed by a reflection across the y-axis

This option is also incorrect because these transformation map triangle ABC to triangle A'B'C'.

Thus the correct option is a rotation 180° clockwise about the origin followed by a reflection across the line y = x ....