Genius Jnr - ABCD is a trapezium in which AB || CD and AD = BC (see the given figure). Show that (i) &ang;A = &ang;B (ii) &ang;C = &ang;D (iii) ΔABC &cong; ΔBAD (iv) diagonal AC = diagonal BD [Hint: Extend AB and draw a line through C parallel to DA intersecting AB produced at E.]

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ABCD is a trapezium in which AB || CD and AD = BC (see the given figure). Show that

(i) ∠A = ∠B

(ii) ∠C = ∠D

(iii) ΔABC ≅ ΔBAD

(iv) diagonal AC = diagonal BD

[Hint: Extend AB and draw a line through C parallel to DA intersecting AB produced at E.]

r = tan⁻¹(sin c)

r = tan⁻¹ (cos c)

or

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