Determine the conditions that will make ΔPQR ≅ ΔSTR.

Given that m∡PQR and m∡STR equals 90° and , which of the following statements will guarantee that ΔPQR ≅ ΔSTR?

∡PQR ≅ ∡RST
∡QRT is a straight angle
R is a midpoint of QT
PQ||ST

Question

Determine the conditions that will make ΔPQR ≅ ΔSTR.

Given that m∡PQR and m∡STR equals 90° and , which of the following statements will guarantee that ΔPQR ≅ ΔSTR?

∡PQR ≅ ∡RST
∡QRT is a straight angle
R is a midpoint of QT
PQ||ST

anonymous · Answer

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anonymous · Answer

you'll need the second and third and you'll basically have SAS

anonymous · Answer

ok, just by looking at the picture the first option is automatically discarded, the second can be ruled out considering that r is still "movable", the 3rd is a perfect choice since you will have 2 sides and an angle that are equal.   the 4th can be ruled out with the same criteria as the 2nd

anonymous · Answer

thank you so much!