Read the Source/ Text given below and answer any four questions: … - Vidyadip

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Read the Source/ Text given below and answer any four questions: During Maths Lab Activity each student was given four broomsticks of lengths $8\ cm, 8\ cm, 5\ cm, 5\ cm$ to make different types of quadrilaterals.

Using the above information answer the following questions:
$i.$ How many quadrilaterals can be formed using these sticks?
$a.$ Only One type of quadrilaterals 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, parallelogram, kite.
$b.$ Rectangle, parallelogram, Trapizum.
$c.$, parallelogram, Square.
$d.$Rectangle, Square, kite.
$iii.$ In a trapezium $\text{ABCD}, DC \| AB$ and $\angle\text{A}=\angle\text{B}=45^\circ,$ the teacher asked the student to find $\angle\text{D}.$ Naresh answered it is $...........$

$a. 105^\circ $
$b.108^\circ $
$c.135^\circ $
$d. 125^\circ $
While discussing the properties of a parallelogram teacher asked about the relation between two angles x and y of a parallelogram as shown in fig. The teacher gave them $4$ options as $($if $BC < CD):$

$a.x > y$
$b. x < y$
$c.x = y$
$d.$None of these.
$P, Q, R,$ and $S$ are respectively the mid-points of sides $AB, BC, CD,$ and $DA$ of quadrilateral $ABCD$ in which $AC = BD$ and $\text{AC}\bot\text{BD}, \text{PQRS},$ is a:
$a.$ Square.
$b.$ Rhombus.
$c.$Kite.
$d.$Parallelogram.

✓

Answer

$(i)$	$(c)$	Three types of quadrilaterals can be formed.
$(ii)$	$(a)$	Rectangle, parallelogram, kite.
$(iii)$	$(c)$	$135^\circ $
$(iv)$	$(b)$	$x < y$
$(v)$	$(a)$	Square.

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