Question

A diagram shows a quadrilateral ABCD with each of its sides extended
AB=AD
Show that ABCD is a kite
Give a reason at each stage of working
Keep it SIMPLE PLEASE

40f03835857c148bf0892a5cafa23e20.docx

Answer 1

$\huge\red{\underbrace{\overbrace{\ulcorner{\mid{\overline{\underline{ANSWER}}}}}}}$

Quadrilateral ABCD with its each side extended.

AB=AD.

To prove that ABCD is a kite.

EXPLANATION:

∠BAD=110°

∠C=20°

∴∠BCD=20°(Vertically opposite angles).

∠CDA=180°-65°=115°

∠B=360-(∠A+∠D+∠C)

∠B=115°

Now in ΔACD and ΔACB

AC=AC (common)

AD=AB(given)

∠CDA=∠CBA(equal)

ΔACD≅ΔACB

CD=CB

AD=AB(adjacent sides are equal)

∠D=∠B(A pair of opposite angles equal)

THEREFORE ABCD IS A KITE

Answer 2

$\huge{\fbox{\fbox{\bigstar{\mathfrak{\red{Answer}}}}}}$

$<marquee direction="left">$ Hope it helps