1. Reasoning RSTU and VXYZ are quadrilaterals.
a. Given RSTU~VXYZ, which answer describes a sequence of transformations that maps RSTU to VXYZ?
A. translation 6 units right and 4 units up, dilation with center (0,0) and scale factor 1 half
B. translation 4 units left and 6 units down, dilation with center (0,0) and scale factor 1 half
C. translation 11 units right and 9 units up, dilation with center (0,0) and scale factor 2
D. translation 11 units left and 9 units down, dilation with center (0,0) and scale factor 2
b. Does a translation followed by a dilation always map a figure to the same image as that same dilation followed by that same translation? Explain your reasoning.
2. Given ΔABC~ΔDEF, describe a sequence of rigid motions followed by a dilation with center (0,0) that maps ΔABC to ΔDEF.
A. Reflection across the x-axis, translation 11 units left and 11 units down, dilation with center (0,0) and scale factor 2
B. Reflection across the x-axis, translation 6 units right and 6 units up, dilation with center (0,0) and scale factor 2
C. Reflection across the y-axis, translation 6 units right and 6 units up, dilation with center (0,0) and scale factor 1 half
D. Reflection across the y-axis, translation 11 units right and 11 units up, dilation with center (0,0) and scale factor 1 half
3.
a. Multiple Representations Is ΔPQR similar to ΔXYZ?
b. If the triangles are similar, give two sequences of rigid motions and dilations that map ΔPQR to ΔXYZ. If the triangles are not similar, give two sequences of rigid motions that map point P to point X.