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VIVEKANANDA RESIDENTIAL SCHOOL, ( Affiliated to C.B.S.E., Delhi – School Code No. 130052 ), Vivekanandapuri, Karimnagar – 505001 (T.S) 0878 – 2222768 / 2222769, e-mail : [email protected] URL : www.vrschool.com, , Case Study (Quadrilaterals), Case Study-1, Read the Source/Text given below and answer the questions:, There is a Diwali celebration in the DPS school Janakpuri New Delhi. Girls, are asked to prepare Rangoli in a triangular shape. They made a rangoli in the, shape of triangle ABC. Dimensions of △ABC are 26 cm, 28 cm, 25 cm., , 1. In fig, R is mid-point of AB and RQ || BC then AQ is equal to, a. QC, b. RB, c. BC, d. AD, 2. In fig R and Q are mid-points of AB and AC respectively. The length of RQ is:, a. 14, b. 13, c. 12.5, d. 13.5, 3. If Garland is to be placed along the side of △QPR which is formed by joining, midpoint, what is the length of garland?, a. 39.5 cm b. 49.5 cm, c. 35 cm, d. 79.5 cm, 4. In the following figure R, P and Q are the mid-points of AB, BC, and AC, respectively. Which of the following is the area of ΔPQR?, a. 1/4ar(ABC), b. 1/3ar(ABC), c. 1/2ar(ABC), d. 1/6ar(ABC), 5. R, P, Q are the mid-points of corresponding sides AB, BC, CA in ΔABC, the figure, so obtained BPQR will be:, a. parallelogram b. trapezium, c. quadrilateral, d. none, Case Study-2, Read the Source/Text given below and answer the questions:, During Math Lab Activity each student was given four broomsticks of lengths, 8cm, 8cm, 5cm,5cm to make different types of quadrilaterals., 1. How many quadrilaterals can be formed using these sticks?, a. Only one type of quadrilateral can be formed, b. Two types of quadrilaterals can be formed., c. Three types of quadrilaterals can be formed., d. Four types of quadrilaterals can be formed., 1

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2. Name the types of quadrilaterals formed ?, a. Rectangle, Square, Parallelogram, b. Kite , Trapezium, parallelogram, c. Rectangle, Square, Kite, d. Rectangle, Kite, Parallelogram, 3. In a trapezium ABCD, DC||AB and ∠A=∠B=450, the teacher, asked the student to find ∠D., a. 1050, b. 1300, c. 1200, d. 1350, 4 The quadrilateral formed by joining the mid-points of the sides of a, quadrilateral PQRS, taken in order, is a rectangle, if, a. PQRS is a rectangle, b. PQRS is a parallelogram, c. diagonals of PQRS are perpendicular, d. diagonals of PQRS are equal, 5 Which of the following is not true for a parallelogram?, a. opposite sides are equal, b. opposite angles are equal, c. opposite angles are bisected by the diagonals, d. diagonals bisect each other., , 2