CBSE Questions for Class 8 Maths Understanding Quadrilaterals Quiz 6 - MCQExams.com

If two adjacents angles of a parallelogram are in ratio 3 : 9, then measure of smallest angle is
  • $$105$$
  • $$60$$
  • $$45$$
  • None
The bisectors of interior angles of a parallelogram forms a ___________.
  • Square
  • Rectangle 
  • Trapezium
  • Rhombus
L and M are the mid-points of sides AB and DC respectively of parallelogram ABCD. Prove that segments DL and BM trisect diagonal AC. StateTrue or False.
  • True
  • False
the area of $$\triangle ABE$$?
194984_757bd724afd943ddbc32646338ae4d4b.png
  • $$60\, cm^{2}$$
  • $$120\, cm^{2}$$
  • $$40\, cm^{2}$$
  • $$30\, cm^{2}$$
In a quadrilateral ABCD, if AB || CD, $$\angle$$D $$= 2\angle$$B, AD = b and CD = a, then the side AB is of length:
  • $$\displaystyle \frac{a}{2}\, +\, 2b$$
  • $$a\, +\, 2b$$
  • $$2a\, -\, b$$
  • $$a\, +\, b$$
If an angle of a parallelogram is 24$$^o$$ less than twice the smallest angle, then the value of largest angle of the parallelogram is
  • 176$$^o$$
  • 160$$^o$$
  • 112$$^o$$
  • 108$$^o$$
In the given figure, ABCD is a parallelogram in which $$ \angle DAB $$ = 75$$^o$$ and $$\angle$$DBC = 60$$^o$$ then the measure of $$\angle$$BDC is equal to ?
242030.jpg
  • 75$$^o$$
  • 60$$^o$$
  • 45$$^o$$
  • 55$$^o$$
In the given figure, D is mid-point of side AB of $$\Delta\,ABC$$ and BDEC is a parallelogram . Is the  Area of $$\Delta\,ABC$$ = Area of parallelogram $$BDEC$$?
195550_1aaad5449c22442f9595b282abd7d913.png
  • True
  • False
State true or false:
In any quadrilateral, if a pair of opposite sides is equal, then it is a parallelogram.
  • True
  • False
State true or false:

If three sides of quadrilateral are equal, it is a parallelogram
  • True
  • False
$$ABCD$$ is parallelogram. If $$L$$ and $$M$$ are the middle points of $$BC$$ and $$ CD $$, then $$ \overrightarrow {AL}+ \overrightarrow {AM}= $$
  • $$ \dfrac { 1 }{ 2 } \overrightarrow{AC}$$
  • $$ \dfrac { 3 }{ 2 } \overrightarrow{AC}$$
  • $$\overrightarrow{AC}$$
  • None of the above
If in quadrilateral $$ABCD$$, $$AB \parallel CD$$, then $$ABCD$$ is necessarily a
  • Parallelogram
  • Rectangle
  • Rhombus
  • None of these
PQRS is a parallelogram and M, N are the mid-points of PQ and RS respectively. Which of the following is not true ?
197821.PNG
  • RM trisects QS
  • PN trisects QS
  • $$\Delta$$PSN $$\sim$$ $$\Delta$$QMR
  • MS is not parallel to QN
Look at the pairs of shapes Which is a pair of rectangles?
Complete the following statement .
Number of measurements required to construct a rectangle are_______.
  • 4
  • 3
  • 2
  • 1
A quadrilateral in which only one pair of opposite sides are parallel is called a ..........
  • square
  • rectangle
  • rhombus
  • trapezium
If $$ABCD$$ is a parallelogram with diagonals intersecting at $$O$$, then the number of distinct pairs of congruent triangles formed is:
  • $$1$$
  • $$2$$
  • $$3$$
  • $$4$$
In a parallelogram ABCD, $$\angle$$D = 135$$^o$$, determine the measure of $$\angle$$A .
  • $$\angle$$A = 45$$^o$$
  • $$\angle$$A = 145$$^o$$
  • $$\angle$$A = 35$$^o$$
  • $$\angle$$A = 75$$^o$$
State true or false:
If three angles of a quadrilateral are equal, then it is a parallelogram
  • True
  • False
Under what conditions must $$PQRS$$ be a parallelogram?
270975_2b44027e34334177a3a8c0c7bc82a9fb.png
  • $$x={45}^{o}$$
  • $$y={16}^{o}$$
  • $$x={45}^{o},y={16}^{o}$$
  • $$x={16}^{o}, y={45}^{o}$$
State true or false:

The figure formed by joining the mid-points of the consecutive sides of a quadrilateral is Parallelogram.
  • True
  • False
$$ABCD$$ is a parallelogram. IF $$P$$ be a point on $$CD$$ such that $$AP=AD$$, then the measure of $$\angle PAB+\angle BCD$$ is:
  • $${180}^{o}$$
  • $${225}^{o}$$
  • $${240}^{o}$$
  • $${135}^{o}$$
Given that $$ABCD$$ is a parallelogram whose diagonals intersect at point $$O$$. $$\angle ABC={110}^{o}$$, $$\angle ACB={35}^{o}$$ and $$\angle ADB={55}^{o}$$. The term that best describes $$ABCD$$ is:
  • Rectangle
  • Rhombus
  • Square
  • Kite
Two adjacent angles of a parallelogram are in the ratio 1 :The angles are
  • $$20^{\circ}$$ and $$40^{\circ}$$
  • $$30^{\circ}$$ and $$60^{\circ}$$
  • $$60^{\circ}$$ and $$120^{\circ}$$
  • None of these
In a parallelogram, the sum of adjacent angles is:
  • $$90^{\circ}$$
  • $$180^{\circ}$$
  • $$270^{\circ}$$
  • $$360^{\circ}$$
In the given figure, $$PQRS$$ is a parallelogram and $$\angle SPQ=60^{\circ}$$. If the bisectors of $$\angle P$$ and $$\angle Q$$ meet at $$A$$ on $$RS$$, then which of the following is not correct?
283258_ed9676a205934e76a157a51ff2647171.png
  • $$AP=SP$$
  • $$AS=AR$$
  • $$AR=SP$$
  • $$AQ=PQ$$
ABCD is a parallelogram. The angle bisectors of $$\angle$$ A and $$\angle$$D meet at O. The measure of $$\angle$$AOD is:
  • $$45^{\circ}$$
  • $$90^{\circ}$$
  • dependent on the angles A and D
  • cannot be determined from given data
  • none of these
Which of the following properties need not be true for a parallelogram?
  • It's diagonals are equal
  • It's diagonals are perpendicular to each other
  • The diagonals divide the figure into four congruent triangles.
  • All the above
In a parallelogram ABCD, if $$\angle A\, =\, 65^{\circ}$$ ,then $$\angle B,\, \angle C\, and\, \angle D$$ are respectively
  • $$115^{\circ},\, 65^{\circ},\, 115^{\circ}$$
  • $$112^{\circ},\, 65^{\circ},\, 112^{\circ}$$
  • $$110^{\circ},\, 60^{\circ},\, 110^{\circ}$$
  • None of these
In a parallelogram ABCD, diagonals AC and BD intersect at O. If AO = $$6$$ cm then find the length of AC.
  • $$5$$ cm
  • $$10$$ cm
  • $$12$$ cm
  • $$14$$ cm
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