If RST = NPQ, then RT is congruent to _____.
NP
NQ
PQ
QP
NQ
To find the answer, we need to understand the given information. The statement "RST = NPQ" indicates that the triangles RST and NPQ are congruent. When two triangles are congruent, it means that all corresponding sides and angles are equal.
Using this information, we can conclude that if the sides RST and NPQ are congruent, then the corresponding side RT must be congruent to the corresponding side ________ (fill in the blank).
To determine which side from the given options is congruent to RT, we can look for the corresponding side to RT in triangle NPQ. Let's analyze the side lengths of triangle NPQ.
Since the side RP would correspond to side NP, we can eliminate the option NP because RT and NP cannot be the corresponding sides.
Similarly, the side ST would correspond to side PQ, so we can eliminate the options PQ and QP.
Therefore, the answer is NQ, as it is the only remaining option. Thus, RT is congruent to NQ in triangles RST and NPQ.