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anonymous

  • one year ago

Geoffrey wrote the following paragraph proof showing that rectangles are parallelograms with congruent diagonals.

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  1. anonymous
    • one year ago
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    According to the given information, quadrilateral RECT is a rectangle. By the definition of a rectangle, all four angles measure 90°. Segment ER is parallel to segment CT and segment EC is parallel to segment RT by the Converse of the Same-Side Interior Angles Theorem. Quadrilateral RECT is then a parallelogram by definition of a parallelogram. Now, construct diagonals ET and CR. Because RECT is a parallelogram, opposite sides are congruent. Therefore, one can say that segment ER is congruent to segment CT. Segment TR is congruent to itself by the Reflexive Property of Equality. The _______________ says triangle ERT is congruent to triangle CTR. And because corresponding parts of congruent triangles are congruent (CPCTC), diagonals ET and CR are congruent.

  2. anonymous
    • one year ago
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  3. anonymous
    • one year ago
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    Can someone please check to see if its correct?

  4. anonymous
    • one year ago
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    @amilapsn

  5. anonymous
    • one year ago
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    @IrishBoy123

  6. amilapsn
    • one year ago
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    You say side angle side theorem right?

  7. anonymous
    • one year ago
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    Yes, but i think im wrong.

  8. amilapsn
    • one year ago
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    hm... So what's your final decision?

  9. anonymous
    • one year ago
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    I think is that one but im not sure, i just need help to understand it

  10. anonymous
    • one year ago
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    Like explaining to me

  11. amilapsn
    • one year ago
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    ok let's mark what's in Geofrey's proof in the diagram... Can you do it for me?|dw:1440103234043:dw|

  12. anonymous
    • one year ago
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    It states that Segment ER is parallel to segment CT and segment EC is parallel to segment RT

  13. amilapsn
    • one year ago
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    just click on the right top corner pencil of the diagram I just posted... You can mark the data yourself..

  14. amilapsn
    • one year ago
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    It would be fun. Believe me!

  15. anonymous
    • one year ago
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    |dw:1440114097646:dw|

  16. anonymous
    • one year ago
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    Sorry for the mess i was trying to make it dark enouugh.

  17. amilapsn
    • one year ago
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    No problem :)

  18. amilapsn
    • one year ago
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    Geoffrey says that segment ER is congruent to segment CT. Can you mark that?

  19. anonymous
    • one year ago
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    |dw:1440114349257:dw|

  20. amilapsn
    • one year ago
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    And segment TR is congruent for itself... I'll mark that for you... or would you like to mark it yourself?

  21. anonymous
    • one year ago
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    I could do it if you want

  22. anonymous
    • one year ago
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    |dw:1440114527163:dw|

  23. amilapsn
    • one year ago
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    So now we have this:|dw:1440103862809:dw|

  24. amilapsn
    • one year ago
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    I've shown that ER=CT by putting one line over them and RT=RT by putting two lines... Did you get that?

  25. anonymous
    • one year ago
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    Yes, i got that!

  26. amilapsn
    • one year ago
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    Now we have to show that ET=RC. So what are the congruent triangles we have to consider?

  27. anonymous
    • one year ago
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    EC and RT? i really dont know.

  28. amilapsn
    • one year ago
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    EC and RT are line segments. Now our goal is to show that ET=RC right?

  29. anonymous
    • one year ago
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    Yes!

  30. amilapsn
    • one year ago
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    |dw:1440104396426:dw|

  31. amilapsn
    • one year ago
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    Very well... To show that what are the triangles we've to consider? Have a guess ;)

  32. anonymous
    • one year ago
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    We have to prove the congruence?

  33. amilapsn
    • one year ago
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    yep

  34. anonymous
    • one year ago
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    I was so nervous answering that.

  35. amilapsn
    • one year ago
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    look at what we've marked so far... you've to just tell me congruent triangles.... !!!

  36. anonymous
    • one year ago
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    Okay let me figure it out

  37. anonymous
    • one year ago
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    ert and ctr?

  38. amilapsn
    • one year ago
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    Gotcha!

  39. anonymous
    • one year ago
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    You're awesome!

  40. anonymous
    • one year ago
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    Was my first answer correct?

  41. amilapsn
    • one year ago
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    Yep... :)

  42. anonymous
    • one year ago
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    Thank you so much for your help!

  43. amilapsn
    • one year ago
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    Yw!

  44. anonymous
    • one year ago
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    I got it right in my test! thanksss

  45. amilapsn
    • one year ago
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    |dw:1440105512532:dw|

  46. amilapsn
    • one year ago
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    Don't be frightened to do mistakes... :)

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