Question

During Math Lab Activity each student was given four broomsticks of lengths 8cm, 8cm, 5cm, 5cm to make different types of quadrilaterals. Using above information answer the following questions:
i) 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

ii) Name the types of quadrilaterals formed?
(a) Rectangle, Square, Parallelogram
(b) Kite, Trapezium, parallelogram
(c) Rectangle, Square, Kite
(d) Rectangle, Kite, Parallelogram

(iii) In a trapezium ABCD, DCI AB and ZA-2B-45, the teacher asked the student to find D. Prasant answered it is
(a) 105 (b) 130 (c) 120 (d) 135°

iv)P Q R and 5 ore respective mid points of the sides AB, BC, CD and AD of a quadrilateral ABCD in which AC=BD and ACI BD, PQRS is a___
(a) Rhombus
(b) Parallelogram
(c) Kite
(d) Square

(v)Which of the following is no: true for a parallelogram?
(a) Opposte sides are equal
(b) Opposite anities are bisected by the diagonals
(c) Opposite angles are equal
(d) taronals bisect each other.​

Answer 1

Answer:

2

Step-by-step explanation:

parallelogram , rectangle

Answer 2

Given:

• Four broomsticks of lengths 8cm, 8cm, 5cm, 5cm

To find:

1. quadrilaterals can be formed using these sticks
2. the types of quadrilaterals formed
3. In a trapezium ABCD, DCI AB and ZA-2B-45, the teacher asked the student to find D
4. P Q R and 5 ore respective mid points of the sides AB, BC, CD and AD of a quadrilateral ABCD in which AC=BD and ACI BD, PQRS is a
5. Which of the following is no: true for a parallelogram

Step-by-step explanation:

1. There are 4 broomsticks with 2 different lengths(8 cm, 8 cm, 5cm, 5cm). Therefore, 2 pairs of sides can be equal. There are 3 quadrilaterals with 2 equal pairs of sides.

        ∴ Three types of quadrilaterals can be formed using these sticks(Option C)

    2. The quadrilaterals with 2 equal pairs of sides are Rectangle, Kite, and Parallelogram (Option D)

    3. We know, Sum of angle pairs between parallel lines is 180°.

        since DC║AB, then  ∠D+ ∠A=180°

         ∠A= 45°

        ∠D+ 45° = 180°

        ∠D=180°-45°

        ∠D= 135°

       ∴ ∠D=135°(Option D)

   4. AC and BD are diagonals of the quadrilateral ABCD and They are  equal. Therefore, the quadrilateral PQRS formed by joining their idpoints will be a Square(Option D)

    5. Diagonals of a Parellelogram cannot bisect opposite angles(Option B)