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8th Grade > Mathematics

UNDERSTANDING QUADRILATERALS MCQs

Total Questions : 464 | Page 5 of 47 pages
Question 41.
Every square is a parallelogram.
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:
True
Every square is also a parallelogram as it has all the properties of a parallelogram but vice-versa is not true.
Question 42.
In the trapezium ABCD, the measure of ∠D is
a) 55∘
b) 115∘
c) 135∘
d) 125∘
In The Trapezium ABCD, The Measure Of ∠D Isa) 55∘b) 115â...
 Discuss Question

:
We know that, in a trapezium, the angles on either side of the base are supplementary.
In trapezium ABCD,
∴∠A+∠D=180∘⇒55∘+∠D=180∘⇒∠D=180∘−55∘⇒∠D=125∘
Question 43.
Find the measure of each angle of a regular octagon.
 Discuss Question

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Number of sides (n), in octagon = 8
Now, the sum of interior angles of a regular octagon =(n2)×180
=(82)×1806×180=1080
Since, the octagon is regular, measure of each angle =10808=135
Question 44.
For which of the following, diagonals are perpendicular to each other?
a) Parallelogram
b) Kite
c) Trapezium
d) Rectangle
 Discuss Question

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The diagonals of a kite are perpendicular to each other.
Question 45.
The measure of each exterior angle of a regular polygon of 18 sides is ___.
 Discuss Question

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20
We know that, measure of each exterior angle =360Numberofsides=36018=20.
Question 46.
Quadrilateral EFGH is a rectangle in which J is the point of intersection of the diagonals. Find the value of x, if JF = 8x + 4 and EG = 24x - 8.
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Given, EFGH is a rectangle in which diagonals are intersecting at the point J.
Quadrilateral EFGH Is A Rectangle In Which J Is The Point Of...
We know that the diagonals of a rectangle bisect each other and are equal.
Then, EG =2×JF
⇒24x−8=2(8x+4)⇒24x−8=16x+8⇒24x−16x=8+8⇒8x=16⇒x=2
Question 47.
A quadrilateral can be drawn if only measures of four sides are given.
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False
We require at least five measurements to construct a quadrilateral.
Question 48.
If all sides of a quadrilateral are equal, it is a .
 Discuss Question

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Rhombus or a Square
The length of all the sides are equal in aRhombus or a Square
Question 49.
A photo frame is in the shape of a quadrilateral, with one diagonal longer than the other. Is it a rectangle? Why or why not?
 Discuss Question

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No, it cannot be a rectangle because the diagonals of a rectangle are equal.
Question 50.
The measure of ___ angle of a concave quadrilateral is more than 180.
 Discuss Question

:
One
A concave polygon is a polygon in which at least one interior angle is more than 180.

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