Ananya is planning a decorative pathway in a botanical garden. Instead of using square or rectangular tiles, she selects a special quadrilateral-shaped tile \(ABCD\) to create a unique repeating pattern.
On measuring one tile, she observes that \(AB = AD = 16 \ \text{cm}\) and \(BC = CD = 6 \ \text{cm}\). The diagonals \(AC\) and \(BD\) intersect at point \(O\). She further notices that \(AC\) is perpendicular to \(BD\), and \(AC\) divides \(BD\) into two equal parts. However, \(BD\) does not divide \(AC\) into equal parts.
She explains that this particular shape gives a symmetrical and balanced look when the tiles are arranged repeatedly along the pathway.
1. Which quadrilateral \(ABCD\) can be classified?
2. Why can \(ABCD\) not be classified as a parallelogram?
3. Identify the correct statement about the angles of quadrilateral ABCD.
4.Along which line does quadrilateral \(ABCD\) show symmetry?