A quadrilateral can be drawn if three sides and two diagonals are given. State whether the statement is true or false.

Solution:

Given, A quadrilateral can be drawn if three sides and two diagonals are given.

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.

The sum of interior angles of quadrilaterals is always equal to 360 degrees.

To construct a quadrilateral, the measure four sides and one angle or three sides and two included angles or two adjacent sides and three angles are required.

Measure of three sides and measure of two diagonals of a quadrilateral can be used to construct a quadrilateral.

Therefore, the measure of all three sides and two diagonals are enough to draw a quadrilateral.

✦ Try This: A quadrilateral can be drawn if three angles and two sides are given. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 127

A quadrilateral can be drawn if three sides and two diagonals are given. State whether the statement is true or false.

Summary:

The given statement, ”A quadrilateral can be drawn if three sides and two diagonals are given” is true.

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