If PQR ~= STU, which statement must be true?
CORRECT ANSWER WAS A.
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Answer: PQ ≅ ST
Step-by-step explanation:
When two triangles are congruent then by CPCTC,
their corresponding parts ( angles and sides ) must be congruent.
In triangles PQR and STU,
Side PQ, QR and RP are corresponding to the sides ST, TU and US respectively,
Also, angles P, Q and R are corresponding to angles S, T and U respectively.
Here, Δ PQR ≅ Δ STU,
Thus, by the above property,
PQ ≅ ST, QR ≅ TU and RP ≅ US,
∠P ≅ ∠T, ∠Q ≅ ∠T and ∠R ≅ ∠U
⇒ First option is correct.