RD Sharma Solutions for Class 8 Maths Chapter 18: Practical Geometry (Constructions)

The chapter includes constructing a quadrilateral, when the lengths of four sides and a diagonal, constructing a quadrilateral when three sides and two included angles are given, constructing a quadrilateral when two adjacent sides and three angles are known, constructing quadrilateral when two diagonals and three sides, an introduction to geometry and their special cases. The construction of triangles with given sides is also taught to the students. We need at least five measurements of sides and angles to design a unique quadrilateral. However, having the dimensions of any five combinations of sides and angles does not guarantee that students can design a unique quadrilateral if they don't know the procedure. The chapter helps with that.

If we are given four sides and one diagonal of a quadrilateral, we can create a different quadrilateral. Likewise, if we are given the measurements of two diagonals and three angles of a quadrilateral, a quadrilateral can be created.

The chapter teaches the students a handful of ways to create quadrilaterals using the hints or values given in the problems. The problems involve creating quadrilaterals with the given lengths. Creating quadrilaterals when one diagonal and four sides are mentioned. Constructing a quadrilateral when both the diagonals and 3 of the angles are referred. Building quadrilaterals when a single angle and all four sides are given, only three sides and their respective angles are mentioned, or three angles and their two respective sides are stated. The chapter teaches all these constructions in a step-by-step manner, and a geometry box is recommended for learning the ways of constructions. First, the angles are made using a compass and measured using a protractor. Next, the students are taught how to make straight lines and angles.

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