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anonymous

  • one year 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? (5 points) x = angle 1 is equal to angle 6 and y =corresponding angles x = angle 5 is equal to angle 3 and y = interior opposite angles x = angle 5 is equal to angle 6 and y = supplementary angles x = angle 4 is equal to angle 3 and y = alternate interior angles

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    oohh i didnt know it was that kind, sorry i cant help you there

  3. anonymous
    • one year ago
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    ok

  4. anonymous
    • one year ago
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    @LynFran

  5. LynFran
    • one year ago
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    i think D

  6. anonymous
    • one year ago
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    Why tho?

  7. LynFran
    • one year ago
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    because if u look at the top ..angle 1=angle2 so angle 3 must = angle 4

  8. LynFran
    • one year ago
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    http://www.mathopenref.com/parallelogramangles.html

  9. LynFran
    • one year ago
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    look how the angles are = in the link provided

  10. anonymous
    • one year ago
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    o ok. and can I ask you another question?

  11. LynFran
    • one year ago
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    sure

  12. anonymous
    • one year ago
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    Look at the quadrilateral shown below. Elba writes the following proof for the theorem, If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram. Elba's proof 1. For triangles AOB and COD, angle 1 is equal to angle 2 as they are vertical angles. 2. AO = OC and BO = OD because it is given that diagonals bisect each other. 3. Therefore, the triangles AOB and COD are congruent by SAS postulate. 4. Similarly, triangles AOD and COB are congruent. 5. By CPCTC, angle ABD is equal to angle CDB and angle ADB is equal to angle CBD. 6. As the corresponding angles are congruent, the opposite sides of quadrilateral ABCD are parallel. 7. Therefore, ABCD is a parallelogram. Which is the first incorrect statement in Elba's proof? (5 points) Statement 6 Statement 4 Statement 3 Statement 5

  13. anonymous
    • one year ago
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  14. anonymous
    • one year ago
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    k

  15. LynFran
    • one year ago
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    statement 3 and 4 correct

  16. anonymous
    • one year ago
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    So it is either 6 or 5 that is not correct?

  17. LynFran
    • one year ago
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    yes thats what im trying to figure out which 1 of the 2 is incorrect i cant remember the CPCTC principle..

  18. anonymous
    • one year ago
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    I think it is 6.

  19. anonymous
    • one year ago
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    it is 6. thank you for your help

  20. LynFran
    • one year ago
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    ok

  21. LynFran
    • one year ago
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    welcome

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