imagine a parallelogram with corners 'ABCD' (its slanting to the right)
bottom left - D
bottom right - C
top left - A
top right - B
Prove that triangles ABD and BCD are congruent.
the question is worth 3 marks
2007-01-21 05:14:32 · 6 answers · asked by jenny 1 in Science & Mathematics ➔ Mathematics
to prove that two triangles are congruent ,we should prove that the three sides of one triangle are equal to the three sides of another triangle.
we have one common segment in our 2 triangles which is BD
so we have to prove now that AB = CD and BC = AD
Since we are working in a parralellogram the we know that the opposite sides are equal in lenght (properties of paralelogram)
so AB = CD and BC = AD and the 2 triangles ABD and BCD are congruent
2007-01-21 05:41:57 · answer #1 · answered by Anonymous · 0⤊ 0⤋
since abcd is a parallelogram you know that segment AD is the same distance as segment BC and that segment DC is the same distance as segment AB. you have now proven that two sides of the triangle are the exact same all you have to do is prove that the third sides are the same. The third side is the same because they are both line BD.
2007-01-21 05:27:45 · answer #2 · answered by pt_of_vu 2 · 0⤊ 0⤋
BD is commun DC= AB and AD= BC ( Definition of a parallelogram) so both tringles have the thee sides equal
2007-01-21 05:23:56 · answer #3 · answered by santmann2002 7 · 0⤊ 0⤋
A quadrant parallelogram.
2007-01-21 05:20:44 · answer #4 · answered by Garret Tripp 3 · 0⤊ 0⤋
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2016-10-07 12:19:41 · answer #5 · answered by milak 4 · 0⤊ 0⤋
YAh
2007-01-21 05:20:00 · answer #6 · answered by Hotti_Hot_Hotti 1 · 0⤊ 0⤋