When carolyn drew the diagonals of parallelogram qrst, four triangles were formed as shown.
which triangle(s) could carolyn definitely show to be congruent to triangle qot, when proving that the diagonals of the parallelogram bisect each other?
a)
only triangle sor
b)
triangle sor and triangle sot
c)
triangle qor and triangle sor
d)
triangle qor, triangle sor, and triangle sot

A)  only triangle SOR

Step-by-step explanation:

Since,  In parallelogram QRST,

When we take two traingles QOT and ROS,

( Because QR is parallel to TS and QS is the common transversal)

( by the property of parallelogram)

( Because QR is parallel to TS and RT is the common transversal)

Therefore by ASA postulate

,

But, We can not say that triangle QOT is congruent to triangles  SOT and QOR.

Therefore Only Option A) is correct.

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