Question

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

Answer 1

before i help you , let me know whats your take ?

Answer 2

you need to understand rather than just seek answers

Answer 3

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?

Answer 4

I think it's D.

Answer 5

@BIGDOG96 , hint Angle side angle info. is already given

Answer 6

gr8

Answer 7

???

Answer 8

So it's D?

Answer 9

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.

Answer 10

Thanks

Answer 11

@BIGDOG96 , does that help?

Answer 12

Yes

Answer 13

any more questions?

Answer 14

Yes