Mirror a shape with respect to custom axis

[vikkyjain2013]

I went through the konva documentation regarding mirror a shape.
Currently i believe we can mirror a shape on x-axis or y-axis. In that case, it is mirrored with respect to 0,0 origin point.
Then i can use offset to mirror a shape from a custom origin point.

My requirement is bit different. Assume, there are n number of axis in 2d model. lets say one axis at every 5 degree angle from origin point. I want to mirror a shape from those axis. My mirror functionality should not be limited to x or y axis. if i can pass a angle, offset and shape, it should mirror the shape through that axis which will be drawn on that angle from origin.

Please see below image created, where i want to rotate the rectangle shape through purple axis.

[lavrton]

Did you try anything? I don't think there is anything specific to the Konva. Just some math calculations.

[vikkyjain2013]

I was thinking if konva have inbuilt method for this just like scaleX or scaleY. If not, then i need to search for math calculations.