posted by .

finish proof
given ABCD is an isoceles trapezoid with AD parallel to BC; DE=DC

prove ABED is a parallelogram

  • geometry -

    Where are points E and F?

  • geometry -

    ther is no e and f it a two column proof

    statements reasons
    1.AD parr.BC;DE=DC 1.given
    2.AB=DC 2.def of isos trap
    3.<B=<? 3.?
    4.<DEC=? 4?
    5.<DEC=<B 5.?
    6.AB parr. DE 6.?

  • geometry -

    I should have just asked where point E is. There is no F mentioned; I was wring about that. The question makes sense if E lies along the extended line BCE

    ABED is a parallelogram if BE = AD and is parallel to AD, AND if AB is parallel and equal to AB. That is what you have to prove.

    Clearly CDE is an isosceles triangle appended to ABCD. Prove that the angle ADC is the same as DCE. This will prove that CE is an extension of BC.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Geometry

    Given: ABCD is a parallelogram; <1 is congruent to <2 To Prove: ABCD is a Rhombus Plan: Show <2 is congruent to < CAB. hence CB is congruent to AB, making ABCD a parallelogram with consecutive sides congruent PROOF Statements …
  2. math

    prove the following: given: ABCD is a trapezoid with bases BC and AD to prove: BX • AX = DX • CX X is the intersection of the segment going from BD and AC i need the answer in a two column proof statements Reasons 1. ABCD is a …
  3. geometry

    I'm having trouble coming up with a proof regarding isoceles trapezoids. The given information is that the diagonals of trapezoid ABCD are congruent so segment AC is congruent to segment DB. Can anyone explain the steps of proving …
  4. Math

    Given a trapezoid ABCD with AD parallel to BC. The diagonals AC and BD are congruent. Prove that ABCD is an isosceles trapezoid.
  5. Math

    Given a trapezoid ABCD with AD parallel to BC. The diagonals AC and BD are congruent. Prove that ABCD is an isosceles trapezoid.
  6. Geometry

    I have four questions: 1. The area of trapezoid ABCD is 60. One base is 4 units longer than the other, and the height of the trapezoid is 5. Find the length of the median of the trapezoid. 2. In trapezoid ABCD, line BC is parallel …
  7. geometry honors

    Can you prove ABCD is a parallelogram based on the given information?
  8. Geometry

    Write a two column proof: Given: ABCD is a parallelogram BQ is conguent to DS, PA is congruent to RC Prove PQRS is a parallelogram
  9. Geometry

    "Given quadrilateral ABCD with A(0,0) B(4,2) C(3,3) and D(1,2), prove that ABCD is a non-isosceles trapezoid" I don't understand how to put this as a proof, since I have to include formulas and reasons. Wouldn't a non-isosceles trapezoid …
  10. Geometry

    justify the last two steps of the proof. Given: ABCD is a parallelogram. Prove: triangleABC = triangleCDA 1. ABDC is a parallelogram 1. given 2. AB = DC and BC =DC 2. opposite sides of a parallelogram are congruent 3. AC = CA 3. ?

More Similar Questions