Reflect square ABCD first across the x-axis, and then across the y-axis to create A’B’C’D’. What are the vertices of square ABCD?

5 answers

The vertices of square ABCD are:
A = (0, 0)
B = (2, 0)
C = (2, 2)
D = (0, 2)
Reflect square ABCD first across the x-axis, and then across the y-axis to create A’B’C’D’. What are the vertices of square ABCD?

Square ABCD has vertices A (3,4) B (7,4) C (7,8) and D (3,8).

Square ABCD has vertices A (-3,-4) B (-7,-4) C (-7,-8) and D (-3,-8).

Square ABCD has vertices A (-3,4) B (-7,4) C (-7,8) D (-3,8)

Square ABCD has vertices A (-3,4) B (-7,4) and C (-7,8)
If square ABCD has vertices A (-3,4), B (-7,4), C (-7,8), and D (-3,8), reflecting across the x-axis would result in A' (-3,-4), B' (-7,-4), C' (-7,-8), and D' (-3,-8). Reflecting across the y-axis would then result in A'' (3,-4), B'' (7,-4), C'' (7,-8), and D'' (3,-8).
which one is it?
I apologize for the confusion. Based on the original vertices of square ABCD (A (3,4), B (7,4), C (7,8), D (3,8)), reflecting across the x-axis would result in A' (3,-4), B' (7,-4), C' (7,-8), and D' (3,-8). Reflecting across the y-axis from that reflection would then result in A'' (-3,-4), B'' (-7,-4), C'' (-7,-8), and D'' (-3,-8). So, the correct answer is:

Square ABCD has vertices A (-3,-4) B (-7,-4) C (-7,-8) D (-3,-8)