If a figure is a square then it is a regular quadrilateral is this true or false?
Answer
549.6k+ views
Hint: One object is the same as another object if they possess the same properties. A square is a polygon with four equal sides and each angle should be ${90^ \circ }$ . Now what to do is discuss properties of quadrilaterals and check whether squares satisfy all these properties or not.
Complete step-by-step answer:
A square is a four sided polygon whose all four sides are the same and all four angles made by adjacent sides are equal to ${90^ \circ }$ .
Now from the diagram, let there be a square $ABCD$ with four sides namely $AB,BC,CD$ and $DA$ with diagonal $d$ and angles $\angle ABC,\angle BCD,\angle CDA,\angle DAC$ .
Now, we have to prove that the square is quadrilateral.
What we will do is we will check whether the square satisfies all minimum required properties to be quadrilateral.
Now, what quadrilateral is, it is a polygon with four sides and four vertices. Quadrilaterals can take any shape but the only condition is that the polygon must have sides and four vertices.
Now, from the figure we can see that the square $ABCD$ has four sides namely $AB,BC,CD$ and $DA$ and four vertices namely $A,B,C$ and $D$ . Hence , the square is quadrilateral.
Note: for this type of questions Students must be kept in mind about the properties of square, parallelogram, quadrilateral etc. We need to satisfy only those conditions of quadrilateral which are minimum required.
Complete step-by-step answer:
A square is a four sided polygon whose all four sides are the same and all four angles made by adjacent sides are equal to ${90^ \circ }$ .
Now from the diagram, let there be a square $ABCD$ with four sides namely $AB,BC,CD$ and $DA$ with diagonal $d$ and angles $\angle ABC,\angle BCD,\angle CDA,\angle DAC$ .
Now, we have to prove that the square is quadrilateral.
What we will do is we will check whether the square satisfies all minimum required properties to be quadrilateral.
Now, what quadrilateral is, it is a polygon with four sides and four vertices. Quadrilaterals can take any shape but the only condition is that the polygon must have sides and four vertices.
Now, from the figure we can see that the square $ABCD$ has four sides namely $AB,BC,CD$ and $DA$ and four vertices namely $A,B,C$ and $D$ . Hence , the square is quadrilateral.
Note: for this type of questions Students must be kept in mind about the properties of square, parallelogram, quadrilateral etc. We need to satisfy only those conditions of quadrilateral which are minimum required.
Recently Updated Pages
Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

A Paragraph on Pollution in about 100-150 Words

XIX+XXX A 49 B 51 C 55 D 44 class 5 maths CBSE

Trending doubts
What is BLO What is the full form of BLO class 8 social science CBSE

Citizens of India can vote at the age of A 18 years class 8 social science CBSE

Full form of STD, ISD and PCO

What are the methods of reducing friction. Explain

What is the difference between rai and mustard see class 8 biology CBSE

Advantages and disadvantages of science


