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PLEASE I NEED SOMEONE TO HELP MY ASSIGNMENT, DUE IS TOMMOROW. (´;︵;`)​

PLEASE I NEED SOMEONE TO HELP MY ASSIGNMENT, DUE IS TOMMOROW. (´;︵;`)​-example-1

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5 votes

Answer:

Explanation:

A) In ΔONE & ΔEST

ON // ST (Construction) and NS is transversal.

∠1 = ∠4 {alternate interior angles}

NE =ES {Given E is midpoint}

∠2 = ∠3 {Vertically opposite angle}

ΔONE ≅ ΔEST { A S A congruent}

OE ≅ TE {CPCT}

ON = ST {CPCT} ---------(I)

ON = OH -----------------(II)

From (I) & (II)

OH = ST & OH // ST (construction)

OHST is a parallelogram.

So, OE // HS -----------------(A)

OE = TE

OT = 2OE

OE = (1/2)OT

OE = (1/2)HS ------------------(B)

From A & B , midpoint theorem is proved

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