what series of transformations would carry parallelogram ABCD onto itself?
Accepted Solution
A:
Answer:C. (x+6,y+0), 180° rotation, (x+0,y+4)Step-by-step explanation:Parallelogram ABCD has vertices at points A(-5,1), B(-4,3), C(-1,3) and D(-2,1).1. Translation with the rule (x+6,y+0), thenA'(1,1)B'(2,3)C'(5,3)D'(4,1)2. 180° rotation has the rule(x,y)→(-x,-y).ThenA'(1,1)→A''(-1,-1)B'(2,3)→B''(-2,-3)C'(5,3)→C''(-5,-3)D'(4,1)→D''(-4,-1)3. Translation (x+0,y+4) maps points A'', B'', C'' and D'' into points A''(-1,-1)→C(-1,3)B''(-2,-3)→D(-2,1)C''(-5,-3)→A(-5,1)D''(-4,-1)→B(-4,3)So, the image of the parallelogram ABCD after these three transformation will coincide with the initial parallelogram.