Question

Triangle PIG was rotated to create triangle P'I'G'. Describe the transformation using details and degrees.

Answer 1

@mathmate

Answer 2

I can see how you rotate it 90º counter-clockwise about point G, then translating (sliding) it to the left 2 units.

But off-hand, I don't see how to do all of that as just a rotation.

Answer 3

did u get the help u needed?

Answer 4

@katec379
First, the fact that the diagram does not have uniform x-y scales does not help the visualization.
In geometry, a distorted figure could mislead you, or hide the solution from you.

Next, if we're looking for a rotation, the secret is to find the centre of rotation.
If we are given the preimage (original) and the image (rotated figure), then we can locate the centre of rotation by finding the intersection of the perpendicular bisectors of segments PP', QQ', RR', etc. The third segment helps to confirm the finding.
Example: preimage: PQR, image: P'Q'R'

You can solve the posted problem similarly by first finding the centre of rotation. The angle of rotation can be inferred from geometry as it is a simple fraction of \(\pi\).