CBSE Questions for Class 8 Maths Understanding Quadrilaterals Quiz 7 - MCQExams.com

Find the angles of a parallelogram if one angle is three times another.
  • $${45}^{o}, {135}^{o}, {45}^{o}, {135}^{o}$$
  • $${50}^{o}, {130}^{o}, {50}^{o}, {130}^{o}$$
  • $${40}^{o}, {140}^{o}, {40}^{o}, {140}^{o}$$
  • $${55}^{o}, {125}^{o}, {55}^{o}, {125}^{o}$$
$$PQRS$$ is a parallelogram. Find $$y$$.
283249.png
  • $$27^{\circ}$$
  • $$61^{\circ}$$
  • $$41^{\circ}$$
  • $$28^{\circ}$$
Which of the following statement(s) is/are correct?
  • A parallelogram in which two adjacent angles are equal is a rectangle.
  • A quadrilateral in which both pairs of opposite angles are equal is a parallelogram.
  • In a parallelogram, the maximum number of acute angles can be two.
  • All of these
In the figure, ABCD is a parallelogram such that $$AF$$ and $$CE$$ are the bisectors of $$\angle DAB$$ and $$\angle BCD$$ respectively, then $$AF\parallel CE$$.
300015_b82e0c152a574a8ea4fea0e7d94ee336.png
  • True
  • False
The following figure GUNS is a parallelogram. Find $$x$$ and $$y.$$ (Lengths are in cm)
301400_e3c3f82e6fb049a98a4d3c10b0f25a04.png
  • $$x= 6$$ and $$y= 9$$
  • $$x=5$$ and $$y=8$$
  • $$x= 9$$ and $$y= 6$$
  • $$x= 5$$ and $$y= 7$$
The following figure RUNS is a  parallelogram. Find x and y. (Lengths are in cm)
301401_330284ee21664a71a128e752edd1401c.png
  • $$x=3 $$ and $$y=13$$
  • $$x=13 $$ and $$y=3$$
  • $$x=13 $$ and $$y=13$$
  • $$x=3 $$ and $$y=3$$
In the given figure, PQRS is a parallelogram. If perimeter of parallelogram PQRS is 40 cm and $$PQ = 12 cm$$, then PS is equal to
299948.png
  • $$12 cm$$
  • $$10 cm$$
  • $$8 cm$$
  • $$9 cm$$
The sum of two opposite angles of a parallelogram is $$130^o$$. Find the measure of each of its angles
  • $$65^o, 115^o, 65^o, 115^o$$
  • $$65^o, 105^o, 65^o, 115^o$$
  • $$65^o, 115^o, 55^o, 115^o$$
  • $$65^o, 115^o, 65^o, 105^o$$
In the given figure, $$ABCD$$ is a parallelogram, diagonals $$BD$$ and $$AC$$ intersect each other at $$E$$. If $$BE + CE = 8$$ cm, then $$AC + BD$$ is equal to
299950_8d663faef55840bf8f48fd148e98899f.png
  • $$16$$ cm
  • $$14$$ cm
  • $$20 $$ cm
  • $$24$$ cm
Given here are some figures:
Which one is convex polygon among $$2$$ and $$3$$?

300591_c08476c795f142779e65847e0886a77d.png
  • $$2$$
  • $$3$$
  • Both
  • None of these
 If ABCD is parallelogram. E is mid-point of AB and CE bisects $$ \angle BCD$$, then $$\angle DEC$$ is _____.
313709.png
  • $$60^o$$
  • $$90^o$$
  • $$100^o$$
  • $$120^o$$
In a parallelogram PQRS, X is the mid point of PS and Y is the mid point of QR, then XY divides QS in the ratio of
  • $$1:4$$
  • $$1:1$$
  • $$1:2$$
  • $$1:3$$
The adjacent angles of a parallelogram are as 2 : 3. Find the measures of all the angles
  • $$108^o$$
  • $$60^o$$
  • $$116^o$$
  • $$90^o$$
Square is not a
  • rhombus
  • rectangle
  • trapezium
  • parallelogram
Two adjacent angles of a parallelogram are in the ratio $$4:5$$, Find all the angles of the parallelogram
  • $$\angle C = \angle A = 90^o, \angle D =\angle B = 100^o$$
  • $$\angle C = \angle A = 80^o, \angle D =\angle B = 100^o$$
  • $$\angle C = \angle A =  \angle D =\angle B = 90^o$$
  • None of above
In the given figure $$AE = BC$$ and $$AE || BC$$ and the three sides $$AB, CD$$ and $$ED$$ are equal in length If $$\displaystyle \angle A=102^{\circ}$$ find the measure of $$\displaystyle \angle BCD$$
312225.png
  • $$\displaystyle 138^{\circ}$$
  • $$\displaystyle 162^{\circ}$$
  • $$\displaystyle 88^{\circ}$$
  • None of these
If $$ABCD$$ is a quadrilateral, $$E, F, G$$ snd $$ H$$ are the midpoints of $$AB, BC, CD$$ and $$DA$$ respectively, then $$EFGH$$ is a ____ .
  • rectangle
  • square
  • rhombus
  • parallelogram
If $$ABCD$$ is a parallelogram whose diagonals intersect at $$O$$ and $$\Delta$$BCD is an equilateral triangle having each side of length $$6$$ cm, then the length of diagonal $$AC$$ is ____ .
  • $$3 \sqrt 3\ cm$$
  • $$6 \sqrt 3\ cm$$
  • $$3 \sqrt 6\ cm$$
  • $$12\ cm$$
If the adjacent angles of the parallelogram are $$x +30^\circ$$ and $$2x- { 90 }^{ \circ}$$, then the smaller angle is
  • $${ 110 }^{\circ  }$$
  • $${ 100 }^{\circ  }$$
  • $${ 70 }^{\circ  }$$
  • $${ 80 }^{\circ  }$$
If $$x$$ & $$y$$ are opposite angles of a parallelogram. If the adjacent angle to these angles is $$75^o$$. What is the measure of these angles?
  • $$110^o$$
  • $$150^o$$
  • $$85^o$$
  • $$105^o$$
If the perimeter of a parallelogram is $$50\ cm$$ and one side is $$12\ cm$$. what is the measure of the other side ?
  • $$15\ cm$$ 
  • $$10\ cm$$
  • $$13\ cm$$
  • $$18\ cm$$
In the measure of an angle in a parallelogram is $$110^o$$, what will be the measure of its adjacent angle?
  • $$110^o$$
  • $$80^o$$
  • $$70^o$$
  • $$250^o$$
Which of the following is/are an example(s) of simple closed curve?
  • Circle
  • Rectangle
  • Square
  • All of the above
A Rhombus is also a
  • Parallelogram
  • Trapezium
  • rectangle
  • None of these
In parallelogram ABCD , CD = 6 cm and AF = 8 cm. If AB = 12 cm, than CE equals to  
1489217_5b71d689d626426dac8b5cb06d79ce90.JPG
  • 28 cm
  • 2 cm
  • 4 cm
  • 14 cm
Which of the following figures satisfy the following property ?
-Only one pair of sides is parallel.
State whether the statements are true (T) or (F) false.
Every kite is a parallelogram.
  • True
  • False
In the figure above ABCD is a parallelogram $$\displaystyle \overline{DE}, \overline{EF}$$ and $$\displaystyle \overline{BG}$$ are the bisectors of $$\displaystyle \angle ADC, \angle DEB$$ and $$\displaystyle \angle ABC$$ respectively. BG and EF intersect at H. If $$\displaystyle \angle DAB=70^{\circ}$$ then find $$\displaystyle \angle BHE$$
394743_f8b735cecf5544c388ebfb9b9bbcbe6e.png
  • $$\displaystyle 50^{\circ}$$
  • $$\displaystyle \left ( 62\frac{1}{2} \right )^{\circ}$$
  • $$\displaystyle 75^{\circ}$$
  • $$\displaystyle \left ( 87\frac{1}{2} \right )^{\circ}$$
A four sided figure with all sides equal and opposite angles also equal.
  • kite
  • Rhombus
  • Parallelogram
  • Rectangle
If one angle of a parallelogram is $$65^o$$. What are the other angles?
  • $$50^o, 120^o, 50^o$$
  • $$115^o, 65^o, 115^o$$
  • $$65^o, 115^o, 65^o$$
  • None of the above
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