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
Answer
Answer:
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