https://intervisualtechnology.us/pxudpothrb/167/9127/UNIT_9_Project.pdf

To solve these BIG idea Visualization problems you You can use visualization to find the image of a figure for a transformation. will pull together many concepts Task 1 and skills Each figure below is part of a capital letter in the English alphabet. To find the whole that you have letter, combine the figure with its image for the appropriate rotation or reflection. What studied about transformations. letter corresponds to each figure? What transformation produces each letter? ATION BIG idea Transformations You can use transformations to describe a change in the position of a point. Task 2 The arcs in the photo at the right appear to be paths of stars rotating about the North Star. To produce this effect, the photographer set a camera on a tripod and left the shutter open for an extended time. If the photographer left the shutter open for a full 24 hours, each arc would be a complete circle. You can model a star's "rotation" in the coordinate plane. Place the North Star at ty the origin. Let P(1, 0) be the position of the North Star star at the moment the camera's shutter North opens. Suppose the shutter is left open for Star 2 h 40 min, with the arc ending at P'. o P(1, 0 ) a. What angle of rotation maps Ponto P'? b. What are the x- and y-coordinates of P' to the nearest thousandth? c. What translation rule maps Ponto P'? BIG idea Coordinate Geometry You can use coordinate geometry to prove a dilation image is similar to its preimage. Task 3 Copy the graph at the right. On the same set of axes, graph the image of MNOP for a dilation with center (0, 0) and scale factor 2. Use coordinate geometry and 2 M the definition of similar polygons to prove that MNOP is similar to its image. 0 2 N