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ABCD is a trapezium in which AB ll CD an...

ABCD is a trapezium in which AB ll CD and AD=BC Show that (i) `/_A=/_B` (ii) `/_C=/_D`(iii) `DeltaABC~= DeltaBAD` (iv) diagonal AC=diagonal BD [Hint Extend AB and draw a line through C parallel to DA intersecting AB produced at E]

Text Solution

Verified by Experts

Construction
Extent AB to intersect CE||DA at E
InAECD
AB||DC
AE||DC
CE||DA
Both pair of sides are parallel AECD is a parallelogram
AD=CE
...
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