State whether the statement is true or false: Equilateral quadrilateral must be a regular polygon.
Answers
Equilateral quadrilateral must be a regular polygon.
Step-by-step explanation:
its false
Given : A statement
Equilateral quadrilateral must be a regular polygon.
To Find : statement is true or false
Solution:
a regular polygon. is a polygon whose all sides and all angles are equal
Equilateral Triangle is a regular polygon of 3 sides
But Equilateral quadrilateral is NOT necessarily a regular polygon of 4 sides .
Square is a regular polygon of 4 sides
Square is a quadrilateral which is a regular polygon.
Equilateral quadrilateral means all four sides are equal.
and there is no information about angles being Equal or not
Like a Rhombus has All Sides Equal is an Equilateral quadrilateral but not a regular polygon
Hence Equilateral quadrilateral must be a regular polygon. is FALSE
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