Question

Which sequence of transformations could be used to map quadrilateral RSTU onto itself?

a) Translation (1,3) followed by a reflection across the y-axis
b) Translation (−3,−1) followed by a reflection across the y-axis
c) Rotation by 90 degrees clockwise followed by a translation (−1,−3)
d) Rotation by 90 degrees counterclockwise followed by a translation (−3,−1)

Answer 1

The sequence of transformations that could be used to map quadrilateral RSTU onto itself is rotation by 90 degrees clockwise followed by a translation (-1,-3).

Step-by-step explanation:

The sequence of transformations that could be used to map quadrilateral RSTU onto itself is:

1. Rotation by 90 degrees clockwise
2. Translation (-1,-3)

This means that if you rotate the quadrilateral 90 degrees clockwise and then translate it by -1 in the x-direction and -3 in the y-direction, you will map it onto itself.