What is the property of congruence that justifies the following statement If WT ≅ XY then XY ≅ WT
The property of congruence that justifies the statement "If WT ≅ XY, then XY ≅ WT" is the symmetry property of congruence. This property states that if two objects are congruent, then they can be reversed and the order does not matter. In this case, it means that if segment WT is congruent to segment XY, then segment XY is also congruent to segment WT.
The property of congruence that justifies the statement "If WT ≅ XY, then XY ≅ WT" is the symmetric property of congruence.
The property of congruence that justifies the statement "If WT ≅ XY, then XY ≅ WT" is the Symmetric Property of Congruence.
To understand this property, we need to know what congruence means. In geometry, congruence is a way to describe the relationship between two figures that have the same size and shape. When two line segments or angles are congruent, it means that they are equal in measure.
The Symmetric Property of Congruence states that if two objects are congruent, then their order can be reversed and they will still be congruent. In other words, if AB ≅ CD, then CD ≅ AB.
Applying this property to the statement "If WT ≅ XY, then XY ≅ WT," we can see that it is based on the fact that if two line segments are congruent, their order can be switched and they will still be congruent. So, if WT is congruent to XY, then we can reverse the order and say that XY is congruent to WT.
In summary, the Symmetric Property of Congruence is the property that justifies the statement "If WT ≅ XY, then XY ≅ WT" by stating that the order of congruent objects can be reversed and they will still be congruent.