Rectangle ABCD has vertices A(-1,-2),B(-1,-8),C(-8,-8) and D(-8,-2) The rectangle ABCD is reflected on the z-axis and the y-axis. Find the coordinates of the vertices for rectangle A'B'C'D' Rectangle A'B'C'D' has vertices A'(1,2),B'(1,8) and C'(8,8) Rectangle A'B'C'D' has vertices A'(1,2),B'(1,8),C'(8,8) and D'(8,2) Rectangle A'B'C'D' has vertices A'(1,-2),B'(1,-8),C'(8,-8) and D'(8,-2) Rectangle A'B'C'D' has vertices A'(-1,2),B'(-1,8),C'(-8,8) and D'(-8,2)

To find the coordinates of the vertices for rectangle $A'B'C'D'$ after reflecting rectangle ABCD on the z-axis and the y-axis, we need to reflect each vertex across both axes.<br /><br />Step 1: Reflecting the vertices across the z-axis:<br />- $A(-1,-2)$ becomes $A'(-1,2)$<br />- $B(-1,-8)$ becomes $B'(-1,8)$<br />- $C(-8,-8)$ becomes $C'(-8,8)$<br />- $D(-8,-2)$ becomes $D'(-8,2)$<br /><br />Step 2: Reflecting the vertices across the y-axis:<br />- $A'(-1,2)$ becomes $A'(1,2)$<br />- $B'(-1,8)$ becomes $B'(1,8)$<br />- $C'(-8,8)$ becomes $C'(8,8)$<br />- $D'(-8,2)$ becomes $D'(8,2)$<br /><br />Therefore, the coordinates of the vertices for rectangle $A'B'C'D'$ are:<br />$A'(1,2), B'(1,8), C'(8,8)$ and $D'(8,2)$.