Question

Rectangle ABCD has vertex coordinates A(-1, -1), B(-1, -3),C(-4,-3), and D(-4, -1). It is translated 4 units to the rightand reflected across the line y = x. What are the coordinatesof A"B"C"D'?A. 443,1), 33,3),C^0,3),0 0,1)B. AY-13),B"-3,3).C'(-3,0), 0"(-1,0)C. AM-1,-1),B"(-3,-1),CY-3.-4), D'(-1,-4)D. 413,-1).B'(3.-3).C'(0,-3), O'(0 - 1)

Answer 1

Solution

For this case we have the following coordinates:

A= (-1, -1)

B= (-1, -3)

C= (-4, -3)

D= (-4, -1)

If we move the rectangle 4 units to the right we have these new coordinates

A' = (3, -1)

B' =(3, -3)

C' = (0,-3)

D'= (0, -1)

And now after a reflection thorugh the line y= x we got:

A'' = (-1, 3), B'' = ( -3, 3), C'' = (-3, 0), D'' = (-1, 0)