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Is PQR=STU? If so, name the congruence postulate that applies

Is PQR=STU? If so, name the congruence postulate that applies-example-1
User Ohlr
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2 Answers

1 vote
<P = <S
<Q = <T
PQ = ST
both triangles are congruent by ASA

Answer
B. Congruent by ASA
User Ismenia
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3 votes

Answer: B. Congruent - ASA

Explanation:

Here, In triangles PQR and STU,

∠ P ≅ ∠ S

∠ Q ≅ ∠ T

PQ ≅ ST,

Where, Segment PQ is the included side of ∠P and ∠ Q in triangle PQR while the segment ST is the included side of angles ∠ S and ∠ T in triangle STU.

Hence, By ASA( angle-side-angle) postulate of congruence,

Δ PQR ≅ Δ STU

Option B is correct.

User Zoozy
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