Answer:
The answer is below
Step-by-step 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.
