Question

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in figure QS and RT are the altitudes of ∆ PQR and
QS = RT.

(a) state three pairs of corresponding part which makes ∆ QRS ≈ RQT.

(b) which congruence criteria does it supports ?


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Answer 1

≡QUESTION≡

QS and RT are the altitudes of ∆ PQR and  QS = RT.

(a) State three pairs of corresponding part which makes ∆ QRS ≈ RQT.

(b) Which congruence criteria does it support ?

                                                         

║⊕ANSWER⊕║

a) In ∆QRS and ∆RQT

QS = RT  (given)

QR = RQ (common side)

∠QSR = ∠QTR (90°)

Hence, ∆QRS ≅ ∆RQT

b)  RHS congruence criterion