A kite is a quadrilateral which has 2 sides next to each other that are congruent and where the other 2 sides are also congruent. Give kite WXYZ, show that at least one of the diagonals of a kite decomposes the lite into 2 congruent triangles

Step-by-step explanation:

Given: Kite WXYZ

Prove: That at least one of the diagonals of a kite decomposes the kite into 2 congruent triangles.

A diagonal is a straight line from one vertex to another of a given shape or figure.

Considering diagonal WY of the kite,

<WYZ ≅ <WYX (diagonal WY is the bisector of <Y)

<ZWY ≅ <XWY (diagonal YW is the bisector of <W)

WZ ≅ WX (congruent property)

YZ ≅ YX (congruent property)

Thus,

ΔWYZ ≅ ΔWYX (Angle-side-Angle congruent property)

Therefore, the given kite can be decompose into 2 congruent triangles (ΔWYZ and ΔWYX).