A quadrilateral has two diagonals. State whether the statement is true or false.

Solution:

Given, A quadrilateral has two diagonals.

We have to determine if the given statement is true or false.

A quadrilateral is a closed shape that is formed by joining four points among which any three points are non-collinear.

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.

We know that the number of diagonals in a polygon of n sides = n(n-3)/2

Here, n = 64Number of diagonals = 4(4-3)/2

= 4(1)/2

= 4/2

= 2

Therefore, the number of diagonals is 2.

✦ Try This: A quadrilateral has three diagonals. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 98

A quadrilateral has two diagonals. State whether the statement is true or false.

Summary:

The given statement, ”A quadrilateral has two diagonals” is true.

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