Question

given: wy = xz
prove: wx = yz
statements reasons
wy = xz given
wy - xy = xz - xy?
wx + xy = wy; xy + yz = xz segment addition postulate
wx = wy - xy, yz = xz - xy subtraction property of equality
wx = yz transitive property of equality

Explanation:

Step1: Apply subtraction property

Subtract the same segment $XY$ from both sides of $WY = XZ$. According to the subtraction - property of equality, if $a = b$, then $a - c=b - c$. Here $a = WY$, $b = XZ$, and $c = XY$. So $WY - XY=XZ - XY$.

Answer:

Subtraction property of equality