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

Question

Ashton Michael

Mathematics

8 October, 19:53

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

+5

Answers (1)

Know the Answer?

Cameron Stuart · Answer 1

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

Step-by-step 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 ...

Triangle ABC underwent a sequence of transformations to give triangle A'B'C' which transformations could not have taken place?Aa reflection across the line y = x followed by a reflection across the line yaB.a reflection across the x-axis followed by a reflection across the yaxis

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