Saved Bookmarks
| 1. |
VEDNESDAY2018 W36 248-17dhe non pasaliel sides ea taqpe2iomone eual paove thatit is cycli |
|
Answer» InΔAED andΔBFC,AD = BC (Given)DE = CF (Distance between parallel sides is same)∠AED = ∠BFC= 90°ΔAED ≅ ΔBFC (RHS Congruence criterion) Hence ∠DAE = ∠CBF (CPCT) … (1)Since AB||CD, AD is transversal∠DAE + ∠ADC = 180° (Sum of adjacent interior angles is supplementary)⇒∠CBF + ∠ADC = 180° [from (1)] Since sum of opposite angles is supplementary in trapezium ABCD.Thus ABCD is a cyclic trapezium |
|