A quadrilateral can be constructed uniquely if three angles and any two sides are given. State whether the statement is true or false.
Solution:
Given, A quadrilateral can be constructed uniquely if three angles and any two sides 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 angles and measure of two sides of a quadrilateral can be used to construct a quadrilateral.
Therefore, the measure of all three angles and two sides are enough to draw a quadrilateral.
✦ Try This: A quadrilateral can be drawn if two 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 129
A quadrilateral can be constructed uniquely if three angles and any two sides are given. State whether the statement is true or false.
Summary:
The given statement, ”A quadrilateral can be constructed uniquely if three angles and any two sides are given” is true.
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