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Step-by-step explanation:
Given: llgm ABCD
Prove:AB ~ CD and BC ~AD
So,ABCD is a parallelogram, segment bc is parallel to segment ad according to the definition of a parallelogram.
when BC ll AD and AC is a transversal,
angle 1 =angle 4 (alternate angles)
when AB= DC and AC is a transversal,
angle 2 = angle 3 (alternate angles)
then,
angle 1 ~ angle 4
angle 2 ~ angle 3
AC ~ AC
ABC ~ ADC ( ASA rule)
so, AB ~ CD
BC ~AD
(proved)
"~" = corresponding
Hope this helped u..
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wasifa30:
thank you so much
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