ABCD is a kite. Answer the questions given below. Is AB ¯ = A D ¯ ?

Given kite is In Euclidean geometry, a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In a kite ABCD , AB , AD are a pair of adjacent sides and BC , CD are another pair of adjacent sides. Such that, ⇒ AB = AD and BC = CD . But given that, A B = A D , Which is true according to definitions of kite. So, AB ¯ = A D ¯ .

ABCD is a kite. Answer the questions given below. Is ∠ A O D = ∠ A O B = 90 ° ?

Given kite is In Euclidean geometry, a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. We know that, in a kite larger diameter bisects the shorter diagonal. From the figure, Diagonal A C bisects diagonal B D . ⇒ O B = O D In △ A O B , △ A O D AB = AD (Adjacent sides are equal in a kite). A O = A O (Common) O B = O D (Proved above) By S.S.S rule, △ A O B ≅ △ A O D ∠ A O B = ∠ A O B We know that, ⇒ ∠ A O B + ∠ A O D = 180 ° ⇒ ∠ A O B + ∠ A O B = 180 ° ∴ ∠ A O B = ∠ A O D = 90 ° Therefore, ∠ A O B = ∠ A O D = 90 ° .