1. Prove that we can transform a segment by transforming its endpoints and then constructing a new segment with the transformed end points. 2. Prove that two successive 2D rotations are additive: R(0)R(^2) = R(a1 + a2), where R(a) denotes a 2x2 rotation matrix of rotation angle a. (Recall that sin(a + a) = sin cos a + cosa sin a2, and cos(a + a) = cos a co 2 sin sin .)