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Two consecutive angles of a parallelogram are in the ratio 1 : 3. Then the smaller angle is :
The smaller angle is
ABCD is a rhombus. Diagonal AC is equal to one of its sides. Then \(\triangle \) ABC
In the given figure, ABCD is a rhombus. If \(\angle A=80^o \), then \(\angle CDB \) is equal to
(opposite angles are equal)
The sum of three angles of a quadrilateral is 3 right angles. Then the fourth angle is a/an :
fourth angle
fourth angle
In the figure, D, E and F are the midpoints of the sides AB, BC and CA respectively. If AC = 8.2 cm, then value of DE is :
In a rectangle ABCD, diagonals AC and BD intersect at O. If AO = 3 cm, then the length of the diagonal BD is equal to :
(Diagonals of a rectangle are equal)
If APB and CQD are two parallel lines, then the bisectors of the angles APQ, BPQ, CQP and PQD form :
Similarly
So, is a parallelogram
Now
Hence it is a rectangle
The figure obtained by joining the midpoints of the sides of a rhombus, taken in order, is :
It will form rectangle.
The sides BA and DC of a quadrilateral ABCD are produced as shown in the figure. Then which of the following relations is true?
In the figure, if ABCD is a square, then value of x is :
(Linear pair)
Lengths of two adjacent sides of a parallelogram are in the ratio 2 : 7. If its perimeter is 180 cm, then the adjacent sides of the parallelogram are
Adjacent sides are
The triangle formed by joining the mid points of the sides of a right angled triangle is :
The triangle formed by joining the midpoint of the sides of a right triangle also have are right angle.
The diagonals of a rectangle PQRS intersect at \(O.\ \angle ROQ=60^o \), then \(\angle OSP \) is equal to
(VOA)
In the \(\triangle \)ABC, \(\angle \)B is a right angle, D and E are the midpoints of the sides AB and AC respectively. If AB = 6 cm and AC = 10 cm, then the length of DE is :
In a \(\triangle \)ABC, D, E and F are respectively the midpoints of BC, CA and AB as shown in the figure. The perimeter of \(\triangle \)DEF is :
Perimeter of
In a parallelogram ABCD \(\angle A=(3x+15^o) \) and \(\angle B=(5x35^o) \). The measure of \(\angle D \) is
(Linear pair)
(opposite angles of parallelogram)
In the given, if ABCD is a parallelogram, then the value of \(2\angle ABC\angle ADC \) is:
If one angle of a parallelogram is 56° more than three times of its adjacent angle, then measures of all the angles are :
other angles are
The quadrilateral formed by joining the mid– points of the sides of a quadrilateral PQRS, taken in order is the rectangle, if :
If diagonals of PQRS are perpendicular to each other than ABCD is a rectangle.
The quadrilateral formed by joining the mid– points of the sides of a quadrilateral PQRS, taken in order is a rhombus, if :
is a rhombus
So,
In
In
If the angles of a quadrilateral ABCD, taken in order, are in the ratio 3 : 7 : 6 : 4, then ABCD is a :
So, is a trapezium
Two adjacent angles of a rhombus are \(3x40^o \) and \(2x+20^o \). The measurement of the greater angle is :
(Linear pair)
\(ABCD \) is a parallelog ram in which \(\angle DAC=40^o.\ \angle BAC=30^o;\ \angle DOC=105^o \) then \(\angle CDO \) equals:
(alt )
Angles of a quadrilateral are in the ratio : 3 : 6 : 8 : 13. The largest angle is :
ABCD is a rhombus such that one of its diagonals is equal to its side. Then the angles of rhombus ABCD are
The diagonal will divide the rhombus in two equilateral
Two angle as other two angle
(Linear pair)
D, E, F are midpoints of sides BC, CA and AB of \(\triangle \)ABC . If perimeter of \(\triangle \)ABC is 12.8 cm, then perimeter of \(\triangle \)DEF is
Two adjacent angles of a parallelogram are \((2x+30)^o \) and \((3x+30)^o \). The value of \(x \) is:
(Linear pair)
In the figure, \(ABCD \) is a parallelogram. If \(\angle DAB=60^o \) and \(\angle DBC=80^o \), then \(\angle CDB \) is:
(opposite angles of a parallelogram)
In
In the figure. ABCD is a parallelogram. If \(\angle B=100^o \). then \((\angle A+\angle C) \) is equal to:
All the angles of a convex quadrilateral are congruent. However, not all its sides are congruent. What type of quadrilateral is it ?
Rectangle as all angles of a rectangle measures but all sides are not equal.
ABCD is a quadrilateral and AP and DP are bisectors of \(\angle \)A and \(\angle \)D .The value of x is :
If \(\angle C=\angle D=50^o \), then four points \(A,B,C,D \):
Since and both are subtended by the same line segment at different points and , these angles must lie in the same segment of a circle which passes through
So, all the four points are concyclic
If \(PQRS \) is a parallelogram, then \(\angle Q\angle S \) is equal to
(opposite angles are equal)
Which of the following is not true for a parallogram ?
In a parallelogram, the opposite angles are not bisected by the diagonals.
If APB and CQD are parallel lines and a transversal PQ cut then at P and Q, then the bisectors of angle APQ. BPQ. CQP and PQD from a
Similarly
So, is a parallelogram
Now
Hence it is a rectangle
\(ABCD \) is a rhombus such that \(\angle ACB=40^o \), then \(\angle ADB \)
In
In and
(VOA)
(diagonals bisect each other)
(SAS)
If the diagonals AC and BD of a quadrilateral ABCD bisect each other, then ABCD is a :
If diagonals of a quadrilateral bisect each other then it is a parallelogram.
The diagonals of a parallelogram \(PQRs\) intersect at \( Q\). If \(\angle QOR=90^o \) and \(\angle QSR=50^o \), then \(\angle ORS \) is
(Linear pair)
In
A quadrilatral whose diagonals are equal and bisect each other at right angles is a :
A quadrilateral whose diagonals are equal and bisect each other at is a square.
In the given figure, ABCD is a rhombus in which diagonals AC and BD intersect at O. Then \(\angle \)AOB is:
The diagonals of a rhombus intersect each other at rightangles.
So, .
In an equilateral triangle ABC, D and E are the mid points of sides AB and AC respectively. Then length of DE is :
is the midpoint of and is the midpoint of .
(by midpoint theorem)
In the figure, \( PQRS\) is a rectangle. If \(\angle RPQ=30^o \), then the value of \( (x+y)\) is:
is an equlateral
In a \(\triangle \)ABC . E and F are the mid–points of AB and AC respectively. The altitude AP intersects EF at Q. The correct relation between AQ and QP is :
Since is the mid point of by converse of mid point theorem is the mid point of