Question

What is the property of congruence that justifies the following statment If WT ¯¯¯¯¯¯¯¯¯¯ ≅ XY ¯¯¯¯¯¯¯¯¯ then XY ¯¯¯¯¯¯¯¯¯ ≅ WT¯¯¯¯¯¯¯¯¯

Answer 1

The property of congruence that justifies the statement is the Symmetric Property of Congruence. According to this property, if two segments (or any other geometric figures) are congruent, then their order can be reversed without changing the congruence. Therefore, if WT is congruent to XY, it follows that XY is congruent to WT.