ABCD is a trapezium in which AB || CD and AD = BC (see the given figur

1.	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.]
Answer» 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.]

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.]

Answer»

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.]