Question

6. In the given figure, PL is perpendicular to OA, PM is perpendicular to OB
such that PL = PM.
a) Is triangle PLO = APMO ? Give reasons.
b) Is OL = OM ? Why?
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Answer 1

Answer:

Step-by-step explanation:

Given  

PL⊥OA ,  OM⊥OB and PL=PM

To Prove:

△PLO≅△PMO

Proof:

In △PLO and △PMO

∠PLO=∠PMO=90  

o

 

PO=PO (common side)

PL=PM (given)

∴ △PLO≅△PMO by the RHS congruence property.