We have been asked to establish the validity of the given congruence statement. Recall that congruence statements must be written very precisely. Corresponding vertices must have the same relative position in the statement.
Given statement:&
△ R S T ≅
â–³ T Q PNotice which vertices are corresponding. Now, we can show which sides are corresponding according to the congruence statement.
R S ≅ T Q
S T ≅ Q P
R T ≅ T P
Comparing this list to the image, we can immediately see an issue.
Notice that, according to the image, RS ≅ PQ, not TQ as the congruence statement implies. We also see that the other two congruence statements do not match the image either. Since the congruence statements does not match the image, the given congruence statement must be false.
