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Explore Transformation Matrices for Rotation about Origin and Reflection about line through Origin

Choose the transformation matrices for rotation and reflection using the drop down list, and explore the different effects using the handle at P to change the angles of rotation or the angle of the line of reflection with the x axis
Write down sample matrix calculations justifying and showing how points A and D are transformed by each of the rotations about O or reflections in the line through O. Suggested calculations : (1) Rotation of Point A 90 deg anticlockwise (2) Rotation of Point D 90 deg anticlockwise (3) Rotation of Point A 180 deg clockwise (4) Rotation of Point D 180 deg clockwise (5) Reflection of Point A in line making angle of 90 deg anticlockwise with x axis (6) Reflection of Point D in line making angle of 90 deg anticlockwise with x axis (7) Reflection of Point A in line making angle of 180 deg anticlockwise with x axis (8) Reflection of Point D in line making angle of 180 deg anticlockwise with x axis