3 years ago

help please !!!!!!!!!!!!!!!

Mathematics

1 answer:

Natali [406]3 years ago

5 0

9514 1404 393

Answer:

yes

Step-by-step explanation:

The triangles are given as right triangles. Hypotenuses QT and RS are given as congruent.

We also have XS ≅ TP. By the addition property of equality, this means ...

XS +ST ≅ ST +TP

By the segment sum theorem, this means ...

XT ≅ SP

XT and SP are the corresponding legs of the right triangles. So, we have corresponding hypotenuses and corresponding legs congruent. This lets us conclude ΔXQT ≅ ΔPRS by the HL theorem.

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