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Given: Quadrilateral PQRT, QSV, PTV, QV bisects RT, and QR || PV.

Prove: QS=VS


What is the statements and reasons

1 Answer

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Answer:

The answer is below

Explanation:

Two triangles are said to be congruent if all the three sides and three angles of one triangle is equal to the three sides and three angles of another triangle.

Statement Reason

QV bisects RT at point Given

S and QR || PV.

RS ≅ TS Definition of bisection.

∠QSR = ∠TSV Vertical angles are congruent to each other.

∠QRS ≅ ∠VTS Alternate interior angles are equal.

ΔQRS ≅ ΔVTS Angle-side-angle congruence theorem. If

two angles and an included side of one

triangle is equal to two angles and an

included side of another triangle, then both

triangles are congruent.

QS ≅ VS Corresponding sides of congruent triangles

are equal.

Given: Quadrilateral PQRT, QSV, PTV, QV bisects RT, and QR || PV. Prove: QS=VS What-example-1
User HChen
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