The figure below shows a parallelogram PQRS.
The flowchart shown below shows the sequence of steps to prove the theorem, “Opposite angles of a parallelogram are equal.”
Which option best represents x and y?
x = PS is parallel to QR, y = reflexive property
x = angle 1 is equal to angle 6 and y =corresponding angles
x = angle 4 is equal to angle 3 and y = alternate interior angles
x = triangle PQS is congruent to triangle RSQ, y = ASA postulate
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x is the statement ... and y is the reason
from the flochart you can see that the statement 'x' is derived from 3 prior statements:
1. angle 1 is equal to angle 2
2. SQ = SQ
3. angle 4 is equal to angle 3
these three statements allow you to conclud what?
I think it's D.
@BIGDOG96 , hint Angle side angle info. is already given
So it's D?
D is right....
Those 3 statements give you the two triangles congruent by the ASA postulate.
also note that: the reason for the statement after x (CPCTC= corresponding parts of congruent triangles are congruent) only makes sense if you actually have congruent triangles.