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Byju's Answer
Standard IX
Mathematics
Venn Diagram
Express the t...
Question
Express the truth of the following statements with the help of Venn diagrams:
a. No circles are polygon
b. If a quadrilateral is a rhombus, then it is a parallelogram.
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Solution
(
a
)
Let
U
=
Set of all diagrams.
A
=
Set of all circles.
B
=
Set of all polygons.
(
b
)
Let
U
=
Set of all diagrams.
P
=
Set of all parallelograms.
R
=
Set of all Rhombuses.
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Similar questions
Q.
Express the truth of each of the following statements using Venn diagrams.
(1) All teachers are scholars and scholars are teachers.
(2) If a quadrilateral is a rhombus then it is a parallelogram
Q.
Complete each of the following statements by means of one of those given in brackets against each:
(i) If one pair of opposite sides are equal and parallel, then the figure is ........................
(parallelogram, rectangle, trapezium)
(ii) If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is ................ (square, rectangle, trapezium)
(iii) A line drawn from the mid-point of one side of a triangle .............. another side intersects the third side at its mid-point. (perpendicular to parallel to, to meet)
(iv) If one angle of a parallelogram is a right angle, then it is necessarily a .................
(rectangle, square, rhombus)
(v) Consecutive angles of a parallelogram are ...................
(supplementary, complementary)
(vi) If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a ...............
(rectangle, parallelogram, rhombus)
(vii) If opposite angles of a quadrilateral are equal, then it is necessarily a ....................
(parallelogram, rhombus, rectangle)
(viii) If consecutive sides of a parallelogram are equal, then it is necessarily a ..................
(kite, rhombus, square)