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The quadrilateral whose all its sides are equal and angles are equal to 90 degrees, it is called:
The sum of all the angles of a quadrilateral is equal to:
A trapezium has:
A trapezium has only one pair of opposite sides parallel to each other, and the other two sides are nonparallel.
A rhombus can be a:
A square is a special case of a rhombus because it has four equal length sides and four right angles
A diagonal of a parallelogram divides it into two congruent:
(alt angles)
(Common)
(ASA)
In a parallelogram, opposite angles are:
The diagonals of a parallelogram:
Each angle of the rectangle is:
Let ABCD is a rectangle, and
AD  BC and AB is a transversal
(Interior angles on the same side of the transversal)
So,
Now, and (Opposite angles of the parallelogram)
So, and
Hence all sides are equals to .
The angles of a quadrilateral are in the ratio 4: 5: 10: 11. The angles are:
Hence, angles are
If ABCD is a trapezium in which AB  CD and AD = BC, then:
(Opposite sides)
(Given)
(Angles on the same side of transversal and )
(Linear pair)
Q is a point in the interior of a rectangle ABCD. If QA = 4 cm, QB = 3 cm and QC = 5 cm. The length of QD is
The length of the two adjacent sides of a rectangle inscribed in a circle are 3 cm and 4 cm respectively. The radius of the circle is
The length of the diagonal BD of the parallelogram ABCD is 12 cm. If P and Q are the centroid of \(\triangle \)ABC and \(\triangle \)ADC respectively, the length of line segment PQ is
ABCD is a cyclic quadrilateral and O is the centre of the circle. If \(\angle COD=120^o \) and \(\angle BAC=60^o \), the value of \(\angle BCD= \)
( central angle is twice of inscribed angle)
ABCD is a cyclic quadrilateral and AD is a diameter. If \(\angle DAC=65^o \), the value of \(\angle ABC \) is
ABCD is a cyclic quadrilateral AB and DC when produced meet at P. If PA = 12 cm, PB = 8 cm, PC = 6 cm the length of PD is
In a cyclic quadrilateral ABCD, \(\angle \text{BCD}=130^o \) and AB passes through the centre of the circle then \(\angle \text{ABD}=? \)
(sum of opposite angle of a cyclic quadrilateral is )
(angle is a semicircle is )
In
The angles of a quadrilateral are in the ratio 3:4:5:6. The smallest of these angles is
ABCD is a parallelogram in which \(\angle BAD=75^o \) and \(\angle CBD=60^o \) then \(\angle BDC=? \)
ABCD is a rhombus such that \(\angle ACB=50^o \) then \(\angle ADB=? \)
(alternate angle)
The length of the diagonal of a rhombus are 16 cm and 12 cm. The length of each side of the rhombus is
The length of each side of a rhombus is 10 cm and one of its diagonals is of length 16 cm the length of the other diagonal is
A diagonal of a rectangle is inclined to one side of the rectangle at \(35^o \) the acute angle between the diagonals.
The bisectors of the angles of a parallelogram encloses a
If an angle of a parallelogram is two third of its adjacent angle the smallest angle is
Adjacent angle
If one angle of a parallelogram is \(24^o \) lens than twice the smallest angle, then the largest angle is
Let the smallest angle be x
Adjacent angle
Adjacent angle
ABCD is a parallelogram in which \(\angle BDC=45^o \) and \(\angle BAD=75^o \) then \(\angle CBD=? \)
(alternate angles)
(alternate angles)
If area of a parallelogram with side a and b is A and that of a rectange with side a and b is B then
Let h be the height of the parallelogram h < b
ABCD is a parallelogram and E is the mid point at BC also DE and AB when produced meet at F. Then
(V.O.A)
(alternate angle)
(AA congruence)
(Cpct)
The parallel sides of a trapezium are a and b respectively the line joining the mid points of its non parallel sides will be
( E and F are the midpoint of AD and BC)