Question

In the figure PL is perpendicular to OA and PM is perpendicular to OB such that PL=PM. Is triangle PLO = triangle PMO ??
GIVE REASONS.


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Answer 1

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In ∆PLO and ∆PMO ,

• PL = PM ㅤㅤㅤㅤㅤㅤㅤ(given)

• Angle PLO = Angle PMO = 90°

• PO = POㅤㅤㅤㅤㅤ(common side)

Therefore , by RHS congruncy test ,

∆PLO ≌ ∆PMO

ㅤㅤㅤㅤ

ㅤㅤㅤ

More to know :-

• RHS test - Two of the sides are equal and one of the angles is 90°.

• SAS test - Two sides and one angle is equal.

• SSS test - All(three) sides are equal.

• ASA test - Two angles and one of the side is equal.