Question

State whether the following statement is true or false:
Every rhombus is a square.
A) True
B) False

Answer 1

Hint: In order to solve such problems students must use the basic definitions of the given shapes in order to find the solution. The method of visualization of figures can also be used in order to reach out to the solution.

Complete step-by-step answer:

Basic definition of square and rhombus
Square: A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted ABCD. Figure ABCD is a square.
Rhombus: A rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. Opposite sides of rhombus are parallel to each other. Figure EFGH is a rhombus.
From the above definitions it is clear that squares will always have four equal angles which is equal to 90 degrees, but rhombus can have any values of angle. Other than that all the properties of construction of rhombus matches with square.
So, square is a special type of rhombus.
Hence every rhombus is not a square. So the statement is false.
So, option B is the correct option.

Note: Students must remember the basic definition, similarities and dissimilarities between different geometrical figures. Students can also see the figure and visualize the results as all the properties of rhombus are present in the square but some property of the square is missing in rhombus. Apart from this students must remember the formula for the perimeter and the area of the given figures.