BIGDOG96 3 years ago 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

1. BIGDOG96

2. psi9epsilon

3. psi9epsilon

you need to understand rather than just seek answers

4. PaxPolaris

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?

5. BIGDOG96

I think it's D.

6. psi9epsilon

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

7. psi9epsilon

gr8

8. BIGDOG96

???

9. BIGDOG96

So it's D?

10. PaxPolaris

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.

11. BIGDOG96

Thanks

12. psi9epsilon

@BIGDOG96 , does that help?

13. BIGDOG96

Yes

14. psi9epsilon

any more questions?

15. BIGDOG96

Yes