Maths-
General
Easy
Question
A square has lines of symmetry
- 2
- 8
- 4
- 0
Hint:
- A square is a regular quadrilateral which has four equal sides and four equal angles or four right angles.
The correct answer is: 4
- We have been given a statement in the question for which we have to fill the blank from the given four options.
Step 1 of 1:
We know that in regular polygon, the number of line of symmetry is equal to number of sides of polygon.
A square is regular polygon with 4 sides.
So, The number of line of symmetry will be 4.
Related Questions to study
Maths-
Let R be a relation from N-N defined by R= { (a,b) : a, b belong to N and a= b2 }.Are the following true ?
a) (a,a) ∈R , for all a ∈N
b) (a,b) ∈R implies (b,a) ∈R
c) (a,b) ∈R , (b,c) ∈R implies (a,c) ∈R
Justify your answer in each case.
Let R be a relation from N-N defined by R= { (a,b) : a, b belong to N and a= b2 }.Are the following true ?
a) (a,a) ∈R , for all a ∈N
b) (a,b) ∈R implies (b,a) ∈R
c) (a,b) ∈R , (b,c) ∈R implies (a,c) ∈R
Justify your answer in each case.
Maths-General
Maths-
Fundamental Algebra:
1. Add:
(i) x2 – y2 – 1 ; y2 – 1 – x2 ; 1 – x2 – y2
Fundamental Algebra:
1. Add:
(i) x2 – y2 – 1 ; y2 – 1 – x2 ; 1 – x2 – y2
Maths-General
Maths-
Draw and find the number of lines of symmetry for the given regular pentagon.
![](data:image/png;base64,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)
Draw and find the number of lines of symmetry for the given regular pentagon.
![](data:image/png;base64,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)
Maths-General
Maths-
Find the number of lines of symmetry for a regular heptagon.
Find the number of lines of symmetry for a regular heptagon.
Maths-General
Maths-
If A is a relation on a set R , then which one of the following is correct ?
If A is a relation on a set R , then which one of the following is correct ?
Maths-General
Maths-
Let A and B two sets such that n( AxB)= 6 . If three elements of AXB are ( 3,2)(7,5)(8,5), then
Let A and B two sets such that n( AxB)= 6 . If three elements of AXB are ( 3,2)(7,5)(8,5), then
Maths-General
Maths-
Find the number of diagonals of a 50-gon
Find the number of diagonals of a 50-gon
Maths-General
Maths-
Find the GCF (GCD) of the given pair of monomials.
![10 x space straight & space 25](data:image/png;base64,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)
Find the GCF (GCD) of the given pair of monomials.
![10 x space straight & space 25](data:image/png;base64,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)
Maths-General
Maths-
Find the number of diagonals of a 100-gon.
Find the number of diagonals of a 100-gon.
Maths-General
Maths-
Factor out the GCF from the given polynomial.
![negative 16 y to the power of 6 plus 28 y to the power of 4 minus 20 y cubed](data:image/png;base64,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)
Factor out the GCF from the given polynomial.
![negative 16 y to the power of 6 plus 28 y to the power of 4 minus 20 y cubed](data:image/png;base64,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)
Maths-General
Maths-
Factor out the GCF from the given polynomial.
![x cubed plus 5 x squared minus 22 x](data:image/png;base64,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)
Factor out the GCF from the given polynomial.
![x cubed plus 5 x squared minus 22 x](data:image/png;base64,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)
Maths-General
Maths-
Maths-General
Maths-
Use Symmetric Property of Equality: If x = y, then
Use Symmetric Property of Equality: If x = y, then
Maths-General
Maths-
If
and
, find the value of x and ![m straight angle A text . end text](data:image/png;base64,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)
![](data:image/png;base64,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)
If
and
, find the value of x and ![m straight angle A text . end text](data:image/png;base64,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)
![](data:image/png;base64,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)
Maths-General
Maths-
Use Substitution Property of Equality: If PQ = 10 cm , then PQ + RS =
Use Substitution Property of Equality: If PQ = 10 cm , then PQ + RS =
Maths-General