Statements are (<u>underlined)</u> and reasons are (bolded).
It is given that (<W) and (<Y) are both right angles, therefore, they must be congruent since they have the same angle measures.
<u><W = <Y</u> definition of right angles
Moreover, it is given that (VX) and (ZX) are congruent.
<u>VX = ZX</u> given
Finally, it is given that (x) is the midpoint of (WY). Therefore, (WX) is congruent to (XY), and therefore, they are congruent.
<u>WX = XY</u> definition of midpoint
Thus, triangle (YWX) is congruent to (ZYX) by the following rule, side-angle-side, also known as (SAS).
<u>YWX = ZYX </u> SAS
When two sides and an angle are congruent between two or more triangles, then those triangles must be congruent.
