List of top Quantitative Ability and Data Interpretation Questions on Geometry asked in SNAP

Ritu wants to make a trapezium such that \(AB\) is parallel to \(CD\). \(\angle ABC=90^\circ\) and \(\angle BAD=45^\circ\). Lengths: \(CD=5\ \mathrm{cm}\) and \(BC=4\ \mathrm{cm}\). Find the area of the trapezium.

In a triangle ABC, \( AB = 6 \) cm, \( BC = 8 \) cm and \( AC = 10 \) cm. A perpendicular BD is drawn from B to a point D on AC. Taking B as the centre and BD as the radius, a circle is drawn that cuts AB and BC at points E and F respectively. Find the ratio of the length of AE to that of CF.

In the figure above, AT is a tangent to the circle drawn from point T, touching the circle at point A, and ACB is a diameter of the circle. If \( \angle BCT = 130^{\circ} \), find \( \angle ATC \).