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Q12. ABCD is a trapezium in which AB II CD and AD = BC (see figure).
Show that
(i) ∠A = ∠B
(ii) ∠C = ∠D
(iii) ∠ABC ≌ ∠BAD
(iv) Diagonal AC = Diagonal BD
Hint: Extend AB and draw a line through C parallel to DA intersecting AB produced at E.
Attachments:
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Answer:
The given trapezium is a Isoceles Trapezium .
Step-by-step explanation:
So you can apply the property for Isoceles Trapezium and then you can prove the first two statements and then by applying A-S-A test . Then you can prove the remaining statements by c.s.c.t. and c.a.c.t.
I hope you know how to solve . I have given all hints . Maths is a thing not to copy paste things but to read , understand and the solve . Only then you will enjoy.
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