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anonymous

  • one year ago

Can somebody help me with one of my geometry questions?

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  1. anonymous
    • one year ago
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    sure

  2. anonymous
    • one year ago
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    ok let me post it

  3. anonymous
    • one year ago
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    Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side: Given: ΔABC Prove: The midsegment between sides Line segment AB and Line segment BC is parallel to side Line segment AC. Draw ΔABC on the coordinate plane with point A at the origin (0, 0). Let point B have the ordered pair (x1, y1) and locate point C on the x-axis at (x2, 0). Point D is the midpoint of Line segment AB with coordinates at Ordered pair the quantity 0 plus x sub 1, divided by 2. The quantity 0 plus y sub 1, divided by 2 by the slope formula. Point E is the midpoint of Line segment BC with an ordered pair of Ordered pair the quantity of x sub 1 plus x sub 2 divided by 2. The quantity of 0 plus y sub 1 divided by 2 by the slope formula. The slope of Line segment DE is found to be 0 through the application of the slope formula: The difference of y sub 2 and y sub 1, divided by the difference of x sub 2 and x sub 1 is equal to the difference of the quantity 0 plus y sub 1, divided by 2, and the quantity 0 plus y sub 1, divided by 2, divided by the difference of the quantity x sub 1 plus x sub 2, divided by 2 and the quantity 0 plus x sub 1, divided by 2 is equal to 0 divided by the quantity x sub 2 divided by 2 is equal to 0 When the slope formula is applied to Line segment AC the difference between y sub 2 and y sub 1, divided by the difference of x sub 2 and x sub 1 is equal to the difference of 0 and 0, divided by the difference of x sub 2 and 0 is equal to 0 divided by x sub 2 is equal to 0, its slope is also 0. Since the slope of Line segment DE and Line segment AC are identical, Line segment DE and Line segment AC are parallel by the definition of parallel lines. Which statement corrects the flaw in Gina's proof? The coordinates of D and E were found using the Midpoint Formula. Segments DE and AC are parallel by construction. The slope of segments DE and AC is not 0. The coordinates of D and E were found using the Distance between Two Points Postulate

  4. anonymous
    • one year ago
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    sorry cant help ya

  5. anonymous
    • one year ago
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    Can anybody else please help me with this problem?

  6. mathstudent55
    • one year ago
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    |dw:1433193358288:dw|

  7. mathstudent55
    • one year ago
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    |dw:1433193448234:dw|

  8. anonymous
    • one year ago
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    I still don't get it.

  9. mathstudent55
    • one year ago
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    The problem states this: "... Point D is the midpoint of Line segment AB with coordinates at Ordered pair the quantity 0 plus x sub 1, divided by 2. The quantity 0 plus y sub 1, divided by 2 by the slope formula. Point E is the midpoint of Line segment BC with an ordered pair of Ordered pair the quantity of x sub 1 plus x sub 2 divided by 2. The quantity of 0 plus y sub 1 divided by 2 by the slope formula. ..." Midpoints of segments are not found using the slope formula. The slope formula is used to find a slope. The midpoint formula is used to find a midpoint.

  10. mathstudent55
    • one year ago
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    |dw:1433193678747:dw|

  11. anonymous
    • one year ago
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    Oh ok now I see where I messed up.

  12. mathstudent55
    • one year ago
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    |dw:1433193769271:dw|

  13. mathstudent55
    • one year ago
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    Did the problem show the fractions that were the slopes of segments DE and AC? You wrote " The difference of y sub 2 and y sub 1, divided by the difference of x sub 2 and x sub 1 is equal to the difference of the quantity 0 plus y sub 1, divided by 2, and the quantity 0 plus y sub 1, divided by 2, divided by the difference of the quantity x sub 1 plus x sub 2, divided by 2 and the quantity 0 plus x sub 1, divided by 2 is equal to 0 divided by the quantity x sub 2 divided by 2 is equal to 0 When the slope formula is applied to Line segment AC the difference between y sub 2 and y sub 1, divided by the difference of x sub 2 and x sub 1 is eq..." I can't understand this. It is too long and complicated. I think it's much easier to understand a picture of the problem than to explain fractions by spelling them out.

  14. anonymous
    • one year ago
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    ok then let me see if i can get the picture

  15. mathstudent55
    • one year ago
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    It really doesn't matter because we already found the error, and the error was listed as a choice.

  16. mathstudent55
    • one year ago
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    Midpoints of segments are found using the midpoint formula, not the slope formula.

  17. anonymous
    • one year ago
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  18. anonymous
    • one year ago
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    Thank you for the help!

  19. anonymous
    • one year ago
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    @mathstudent55 can you help me again on my question

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