**Case Study Questions**

**Question 1:**

After summervacation, Manit’s class teacher organised a small MCQ quiz, based on the properties of quadrilaterals. During quiz, she asks different questions to students. Some of the questions are listed below.

**(i) Which of the following is/are the condition(s) for ABCD to be a quadrilateral?**(a) The four points A, B, C and D must be distinct and co-planar.

(b) No three of points A, B, C and D are collinear.

(c) Line segments i.e., AB, BC, CD, DA intersect at their end points only.

(d) All of these

**(ii) Which of the following is wrong condition for a quadrilateral said to be a parallelogram?**(a) Opposite sides are equal

(b) Opposite angles are equal

(c) Diagonal can’t bisect each other

(d) None of these

**(iii) If AX and CY are the bisectors of the angles A and C of a parallelogram ABCD, then**

(a) AX || CY

(b) AX || CD

(c) AX || AB

(d) None of these

**(iv) ABCD and AEFG are two parallelograms. If ∠C = 63°, then determine ∠G.**

(a) 63°

(b) 117°

(c) 90°

(d) 120°

**(v) If angles of a quadrilateral are in ratio 3 : 5 : 5 : 7, then find all the angles.**(a) 54°, 80°, 80°, 146°

(b) 34°, 100°, 100°, 126°

(c) 54°, 90°, 90°, 126°

(d) None of these

Thank you so much 🥰