8th Grade > Mathematics
UNDERSTANDING QUADRILATERALS MCQs
Total Questions : 464
| Page 4 of 47 pages
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The adjacent angles of a parallelogram are supplementary.
∴(2x−4)∘+(3x−1)∘=180∘
⇒5x−5∘=180∘⇒5x=185∘⇒x=185∘5⇒x=37∘
Thus, the adjacent angles are
2x−4=2×37∘−4=74−4=70∘.
and 3x−1=3×37∘−1=111−1=110∘
Hence, the angles are 70∘,110∘,70∘,110∘.
[∵ Opposite angles in a parallelogram are equal].
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We know that, the sum of angles of a polygon
=(n−2)×180∘,
where n is the number of sides of the polygon.
In pentagon, n = 5
∴Sum of the angles
=(n−2)×180∘
=(5−2)×180∘
=3×180∘
=540∘
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We know that, in a trapezium, a pair of opposite sides are parallel.
:
all
A rhombus is a parallelogram in which allsides are equal.
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Yes, ΔMYO≅ΔRXE
In ΔMYO and ΔRXE
MO = RE [opposite sides are equal]
∠MOY=∠REX [∵Alternate angles, OM∥RE, OE is the transversal]
∠MYO=∠RXE [MY and RX are perpendicular to OE]
∴ΔMYO≅ΔRXE [by AAS]
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9
Nonagon is a polygon which has 9 sides.
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720∘
The sum of angles of an n-gon (a polygon with n sides)
=(n−2)×180∘.
∴ Sum of the angles of a hexagon =(6−2)×180∘=4×180∘=720∘. [∵ In a hexagon, number of sides, n = 6]
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non-adjacent / opposite
The line segment connecting twonon-adjacent / opposite vertices is called diagonal.
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True
We can construct a unique quadrilateral if three angles and two included sides are given.
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We know that the diagonals of a square bisect each other but the diagonals of a trapezium, kite and quadrilateral do not bisect each other.
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