Question

From the given figure, what can be said about quadrilateral ABCD?

• A. Parallelogram
• B. Kite
• C. Square
• D. Rhombus

Answer 1

The correct option is B

Kite

Given: $\angle ACB=\angle ABC$ and
$\angle DCB=\angle DBC$

In $△ABC$,
AB = AC
($\because$ Sides opposite to equal angles of a triangle are equal.)

In $△DBC$,
DC = DB
($\because$ Sides opposite to equal angles of a triangle are equal.)

So, ABCD is a quadrilateral in which two pairs of equal-length sides that are adjacent to each other.
Hence, the given figure is a kite.