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

Two adjacent angles of a parallelogram are $$2x+ 30^o$$ and $$5x + 30^o$$. Then the value of $$x$$ is ___ .
  • $$\dfrac{180^o}{7}$$
  • $$\dfrac{120^o}{7}$$
  • $$\dfrac{60^o}{7}$$
  • None of these.
Two consecutive angles of a parallelogram are in ratio $$1 : 6$$, then the smaller angle is:
  • $$\dfrac{1080}{7}$$
  • $$\dfrac{180}{7}$$
  • $$\dfrac{540}{7}$$
  • None
In fig. ABCD is a parallelogram. What are the values of $$p$$ and $$q$$ ?
If $$\angle CBE$$ = $$100^{\circ}$$.

444932_629811234e7240b4913c4426dd2615ee.png
  • $$\angle p = 100^o, \angle q = 80^o$$
  • $$\angle p = 80^o, \angle q = 100^o$$
  • $$\angle p = \angle q$$
  • None
Identify the Quadrilateral.
442690_2583362cb04e467783205281507d8cbb.png
  • parallelogram
  • rectangle
  • square
  • trapezium
In parallelogram, both pairs of opposite sides are ....................
  • equal
  • parallel and equal
  • perpendicular
  • perpendicular and equal
PQRS is a parallelogram & PA & RB are perpendicular from P & R in diagonal SQ. Which of following is the correct option?
445134.png
  • $$AP = BQ$$
  • $$PA = BR$$
  • $$AS = RB$$
  • None

In the given parallelogram, find the opposite angle $$y$$?
442688.PNG
  • $$60^o$$
  • $$50^o$$
  • $$70^o$$
  • $$120^o$$
The diagonals AC & BD of parallelogram ABCD intersect each other at P of $$\angle DAC = 40^o$$ & $$\angle APB = 80^o$$. Then $$\angle DBC$$ is equal to ___ .
444989_cb10f04287f44531a9a27dcce5e93090.png
  • $$40^o$$
  • $$80^o$$
  • $$120^o$$
  • None
$$WXYZ$$ is a parallelogram & its diagonals intersect at point $$O$$. Find $$\angle OZY$$.

445481_b88f119c85f0490184f7b54dfb0c720e.png
  • $$115^o$$
  • $$65^o$$
  • $$60^o$$
  • $$70^o$$
PQRS is a parallelogram and side RS is smaller than side QR. Then the relation between $$\angle 1$$ and $$\angle 2$$ is ___ .
445511.png
  • $$\angle 1 < \angle 2$$
  • $$\angle 1 > \angle 2$$
  • $$\angle 1 = \angle 2$$
  • None
PQRS is a parallelogram, the bisector of $$\angle $$P also bisects SQ, PQ = 5 cm. Find PS.
445469.png
  • 5 cm
  • 7 cm
  • 10 cm
  • Cant determine
If ABCD is a parallelogram, then how are the angles 'x' and 'y' related?

508837_3c178f4c954f49a2b5451191369d1fa0.png
  • x = y
  • x > y
  • x < y
  • Can't be determined
The value of $$xy$$ for parallelogram $$ABCD$$ is :
479178_7e9aa8e4ca2a4d658729640681e1d1af.png
  • $$2,695$$
  • $$2,940$$
  • $$4,704$$
  • $$6,468$$
In a parallelogram $$ABCD$$, $$AB=4\ cm$$ and $$BC = 7\ cm$$. Each of its diagonals is less than which of the given options?
  • $$3\ cm$$
  • $$6\ cm$$
  • $$7\ cm$$
  • $$11\ cm$$
The perimeter of a parallelogram,whose one side measures $$12$$ inches, is 72 inches. Find the length of its other three sides.
  • $$12, 12, 36$$
  • $$12, 18, 18$$
  • $$12, 24, 24$$
  • $$12, 30, 30$$
In figure, if $$ABCD$$ is a parallelogram, $$\angle ADE = 40^{\circ}$$, and $$\angle C = 110^{\circ}$$, calculate the measure of $$\angle BED$$.
493177.jpg
  • $$30^{\circ}$$
  • $$40^{\circ}$$
  • $$70^{\circ}$$
  • $$110^{\circ}$$
  • $$150^{\circ}$$
In the given figure, find $$\angle BDC$$.
508664_27d5e7c7d65c4d0bac0ec036a5965cd3.png
  • $${ 60 }^{ o }$$
  • $${ 75 }^{ o }$$
  • $${ 45 }^{ o }$$
  • $${ 50 }^{ o }$$
The diagonals of a parallelogram $$ABCD$$ intersect at $$O$$. A line through O intersect AB at X and DC at Y. Identify the correct option
509064_224fd84437b64da4870e0c6353c78d16.png
  • $$OX = OY$$
  • $$OX > OY$$
  • $$OX < OY$$
  • $$OX - OY = 0$$
The interior angles of a pentagon are in the ratio 2:3:4:5:6 respectively. Then sum of the first and second angle is
  • $$

    90 ^ { \circ }

    $$
  • $$

    140 ^ { \circ }

    $$
  • $$

    135 ^ { \circ }

    $$
  • $$

    180 ^ { \circ }

    $$
What do you call a parallelogram which has equal diagonals?
  • A trapezium
  • A rectangle
  • A rhombus
  • A kite
ABCD is a parallelogram in which $$\angle A = (x+20)^\circ $$ and $$\angle C = (3x -10)^\circ $$. Find the value of $$x$$.
  • $$ 60^\circ $$
  • $$40^\circ$$
  • $$30^\circ $$
  • $$15^\circ$$
$$ABCD$$ is a parallelogram and $$X, Y$$ are the mid-points of sides $$AB$$ and $$CD$$ respectively. What is the quadrilateral $$AXCY$$?
509775_8d7caa0be7af4da4b198a297ebc7a444.png
  • Parallelogram
  • Rhombus
  • Square
  • Rectangle
Find the measure of each angle of a parallelogram, if largest angle is $$\displaystyle { 30 }^{ \circ  }$$ less than twice the smallest angle.
517646_e3ac5f115b4b4170bc0b3805cba9b385.png
  • $$\displaystyle { 60 }^{ \circ },{ 100 }^{ \circ },{ 90 }^{ \circ },{ 20 }^{ \circ }$$
  • $$\displaystyle { 80 }^{ \circ },{ 40 }^{ \circ },{ 120 }^{ \circ },{ 90 }^{ \circ }$$
  • $$\displaystyle { 100 }^{ \circ },{ 90 }^{ \circ },{ 90 }^{ \circ },{ 80 }^{ \circ }$$
  • $$\displaystyle { 70 }^{ \circ },{ 110 }^{ \circ },{ 70 }^{ \circ },{ 110 }^{ \circ }$$
The figure below is a parallelogram with two angles given in terms of x. Determine the value of x.
537419.PNG
  • $$9$$
  • $$10$$
  • $$20$$
  • $$22$$
  • $$24$$
The diagonals of a parallelogram divide the figure into four triangles that are
  • congruent
  • similar
  • equal in area
  • isosceles
  • none of these
Identify the true statement with respect to the given figure
509877_038535cf41604174ae5f3bb8bb58ccb6.png
  • $$ar (POQ) + ar(SOR) = ar(POS) + ar(QOR)$$
  • $$ar(POQ + ar(POS) = ar(ROQ) + ar(ROS)$$
  • Both the true (A) and (B)
  • Neither (A) nor (B) is true
Diagonal of a parallelogram separates it into
  • Two triangles of equal area
  • Two congruent triangles
  • Both a and b
  • None
In the parallelogram, what is the value of "x"?
509669_254a67fcaa41435f93727dfd9b30bee9.png
  • $$30$$
  • $$50$$
  • $$70$$
  • $$80$$
Tick these figures which are simple closed curves.
All squares are not parallelograms.
  • True
  • False
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