sumy is working in geometry class and is given figure abcd in the coordinate plane to reflect. the…

sumy is working in geometry class and is given figure abcd in the coordinate plane to reflect. the coordinates of point d are (a, b) and she reflects the figure over the line y = x. what are the coordinates of the image d?\n(a, -b)\n(b, a)\n(-a, b)\n(-b, -a)

sumy is working in geometry class and is given figure abcd in the coordinate plane to reflect. the coordinates of point d are (a, b) and she reflects the figure over the line y = x. what are the coordinates of the image d?\n(a, -b)\n(b, a)\n(-a, b)\n(-b, -a)

Answer

Answer:

B. $(b, a)$

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ over the line $y = x$, the $x$ - and $y$ - coordinates swap.

Step2: Apply to point D

Given point D with coordinates $(a,b)$, after reflection over $y = x$, the new coordinates are $(b,a)$.