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Class 8
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Maths
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Understanding Quadrilaterals
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Some Special Parallelograms
Some Special Parallelograms
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Rhombus
Example
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Rectangles
Example
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Squares
Example
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Prove diagonals of rhombus are perpendicular bisector of each other
6 mins
Applications of properties of rhombus
6 mins
Proof of theorems on rectangle
8 mins
Applications of properties of rectangle
6 mins
Quick Summary With Stories
Rhombus
2 mins
Diagonal of Rhombus
2 mins
Applications of properties of Rhombus
2 mins
Rectangle
2 mins
Diagonals of a Rectangle
2 mins
Square
2 mins
Diagonals of a Square
2 mins
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Important Questions
Show that the diagonals of a square are equal and bisect each other at right angles.
Medium
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>
ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.
Easy
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>
$ABCD$
is a rhombus and
$P,Q,R$
and
$S$
are the mid point of the sides
$AB,BC,CD$
and
$DA$
respectively.show that the quadrilateral
$PQRS$
is a rectangle
Medium
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>
Show that if the diagonals of the quadrilateral are equal and bisect each other at right angles, then it is a square.
Medium
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>
ABCD is a rhombus. If
$∠ACB=40_{o}$
, then
$∠ADB$
is
Medium
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>
A diagonal of a rectangle is inclined to one side of the rectangle at
$25_{o}$
. The acute angle between the diagonals is:
Medium
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>
Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.
Medium
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>
Sum of the area of two squares is
$640$
m
$_{2}$
. If the difference of their perimeters is
$64$
m, find the sides of the two squares.
Medium
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>
Show that the quadrilateral, formed by joining the mid-points of the sides of a square is also a square.
Medium
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>
The measures of two adjacent angles of a parallelogram are in the ratio
$3:2$
. Find the measure of each of the angles of the parallelogram
Easy
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>