Respuesta :

Answer:

C. PR and SQ have the same midpoing

Step-by-step explanation:

The theorems that could be shown hat the diagonals of parallelogram PQRS bisect each other are explained below.

  • Let the point where the diagonals intersect be called Point T.

Now, looking at the parallelogram, we can say that;

∠QPT = ∠SRT (This is because the alternate angles between 2 parallel lines are always equal)

  • Secondly, ∠PQT= ∠RST.

This is This is because the alternate angles between 2 parallel lines are always equal.

  • Thirdly; ∠PTQ=∠RTS

This is because they are vertically opposite angles.

  • Now, from AAA congruence theorem, we can say that;

△PTQ is congruent to △RTS.

Thus, we can say that;

PT = RT and QT = ST

This proves that they bisect each other.

Read more at; https://brainly.com/question/15140032

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