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Math Help - Help with trapezoid proof please!

  1. #1
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    Question Help with trapezoid proof please!

    Given: LORI is a rectangle; seg LB cong seg DO
    Prove: BIRD is an isosceles trapezoid
    __________________________________________________ _________________
    Statements *Reasons

    LORI is a rectangle; seg LB cong seg DO
    *Given
    __________________________________________________ _________________
    Attached Thumbnails Attached Thumbnails Help with trapezoid proof please!-geometric-proof-4.png  
    Last edited by pleasepleasehelp; May 7th 2010 at 12:11 PM.
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  2. #2
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    Quote Originally Posted by pleasepleasehelp View Post
    Given: LORI is a rectangle; seg LB cong seg DO
    Prove: BIRD is an isosceles trapezoid
    __________________________________________________ _________________
    Statements *Reasons

    LORI is a rectangle
    *Given
    __________________________________________________ _________________
    Hello again, pleasepleasehelp,

    Here we go....

    \overline{LB} \cong \overline{DO}
    GIVEN

    LORI is a rectangle.
    GIVEN

    \angle L and \angle O are right angles.
    A RECTANGLE HAS 4 RIGHT ANGLES.

    \triangle BLI \:\:and\:\:\triangle DOR are right triangles.
    DEFINITION OF RIGHT TRIANGLE

    \overline{LI} \cong \overline{OR}
    OPPOSITE SIDES OF A RECTANGLE ARE CONGRUENT

    \triangle BLI \cong \triangle DOR
    LL Theorem

    \overline{BI} \cong \overline{DR}
    CPCTC

    BIRD is a trapezoid.
    DEFINITION OF ISOSCELES TRAPEZOID
    Last edited by masters; May 7th 2010 at 01:17 PM.
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  3. #3
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    What is the LL theorem? oh and I think you mean triangle BLI not BLO
    Last edited by pleasepleasehelp; May 7th 2010 at 12:22 PM.
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  4. #4
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    Quote Originally Posted by pleasepleasehelp View Post
    What is the LL theorem?

    LL Theorem: Congruency theorem for right triangles only.

    If the legs of one right triangle are congruent to the
    corresponding legs of another right triangle,
    then the triangles are congruent.

    This theorem is proved using the SAS postulate.
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  5. #5
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    Thanks, yet again you've managed to help me understand
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  6. #6
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    Quote Originally Posted by pleasepleasehelp View Post
    What is the LL theorem? oh and I think you mean triangle BLI not BLO
    You're right. Typo! I fixed it. Thanks.
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