Question

What set of reflections and rotations would carry rectangle ABCD onto itself?

Answer 1

pleaseeeeeeeeeeee help

Answer 2

Is the rectangle a square or not?

Answer 3

If it is a square you have \[\{I,R,R^2,R^3,F,FR,FR^2,FR^3\}\]

if it is not

\[\{I,R,F,FR\}\]

In the first situation let \(R\) be a rotation of 90 degrees and 180 in the second.

F is a flip in both cases (flip across some axis of symmetry)