The bicycle’s front tire has a spot of paint on it. take the spot’s position at time t=0.00s to be at angle θ=0.00radians with respect to an axis parallel to the ground (and perpendicular to the axis fixed at the tire’s center) and take angles in the direction of the tire's rotation to be positive. what angular displacement θ(2) has the spot undergone between 0.00 and 2.0 s?

Graph a triangle (xyz) and reflect it over the line y=x to create triangle x’y’z’. describe the transformation using words. draw a line segment from point x to the reflecting line, and then draw a line segment from point x’ to the reflecting line. what do you notice about the two line segments you drew? do you think you would see the same characteristics if you drew the line segment connecting y with the reflecting line and then y’ with the reflecting line? how do you know?