Question Bank - Mathematics

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For a given figure to be a square, the condition that its all four angles, all four sides and the diagonals are equal.

A.
Both necessary and sufficient condition.
B.
Neither necessary nor sufficient condition.
C.
A necessary but not a sufficient condition.
D.
A sufficient but not a necessary condition.

Solution:

Mathematics is the study of geometrical figures, their co-relation, and their dependency on each other. It deals with quantity, measurement, and spatial relationships.Elementary students need a solid foundation in geometry in order to be successful later in middle school and high school geometry.The presentation of geometrical content should be appropriate to the classroom and informally organized which allows students to construct meaning.At the primary level, the teacher mainly expects their students to observe and identify the different shapes such as square, rectangle, triangle, pentagon, hexagon, etc.Square is a basic geometrical figure that is used frequently in mathematics and as well as in our everyday life.It is made up of four-line segments with all four equal sides and opposite sides are parallel to each other.The diagonals of a square intersect each other perpendicularly.The length of diagonals of a square are equal as depicted in the image below:The above image is showing that all the sides of a square are equal i.e., AB = BC = CD = AD.Also, the angles of a square will also remain equal i.e., ?A = ?B = ?C = ?D = 900.Hence, it could be concluded that for a given figure square, the condition that all four angles, all four sides, and the diagonals are equal is both necessary and sufficient condition.

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