Question

The $△LOM\cong △QOP$ by ________

• A. ∆ LOM ≅ ∆ POQ (by SAS test )
• B. ∆ LOM ≅ ∆ QOP (by SAS test )
• C. ∆ LOM ≅ ∆ POQ (by ASA test )
• D. ∆ LMO ≅ ∆ PQO (by SAS test )

Answer 1

The correct option is B ∆ LOM ≅ ∆ QOP (by SAS test )

Consider ∆ LOM and ∆ QOP

LO = QO ( Given
∠ LOM = ∠ QOP (Vertically opposite angles)
MO = PO ( Given )

Hence ∆ LOM ≅ ∆ QOP (by SAS test ).