A three-dimensional pyramid has a 3 by 3 square base centered at the origin on the plane z 2 i.e. the base lies entirely in the z = 2 plane. The pyramid has a height of 6 at its apex at the center of the base (assume apex is in +z direction). The pyramid is subject to the following transformations (in this exact order): 1. rotate about the x-axis -45 2. reflect about the plane z-9 3. rotate about the y-axis 225 4. translate by 2 in the +x direction 5. project onto the x-z plane. _apex 2-axis base on z-2 plane -axis y-axis Answer the following questions for Problem 3 a) Sketch the pyramid. Label the vertices as A, B, C, D, and E. b) Determine the coordinates in (x.y,z) for all 5 of your labeled vertices. c) Determine the final coordinates of each vertex of the pyramid after transformation the final coordinates. A three-dimensional pyramid has a 3 by 3 square base centered at the origin on the plane z 2 i.e. the base lies entirely in the z = 2 plane. The pyramid has a height of 6 at its apex at the center of the base (assume apex is in +z direction). The pyramid is subject to the following transformations (in this exact order): 1. rotate about the x-axis -45 2. reflect about the plane z-9 3. rotate about the y-axis 225 4. translate by 2 in the +x direction 5. project onto the x-z plane. _apex 2-axis base on z-2 plane -axis y-axis Answer the following questions for Problem 3 a) Sketch the pyramid. Label the vertices as A, B, C, D, and E. b) Determine the coordinates in (x.y,z) for all 5 of your labeled vertices. c) Determine the final coordinates of each vertex of the pyramid after transformation the final coordinates