Test: Geometrical Shapes and Solids - 1 - Class 4 MCQ

Geometry is primarily concerned with the study of shapes and sizes of objects, their relative positions, and the properties of space.

Euclid is often referred to as the "Father of Geometry" for his contributions to the development of the subject.

Euclidean Geometry is based on axioms (statements or propositions) and postulates, which are fundamental assumptions that serve as the foundation for geometric reasoning.

Euclidean Geometry is defined by 5 basic postulates that establish the properties and relationships of geometrical figures.

To determine which statement is not one of Euclid's axioms:

• Option D: "The things that are not halves of the same things are equal to one another" is not an axiom of Euclid.
• this statement is false. 

 

Spherical geometry is the study of plane geometry on a sphere. Lines on a sphere are defined as the shortest distance between two points along the surface, forming arcs.

In spherical geometry, the sum of the angles in a triangle is greater than 180º. This is due to the curvature of the sphere.

A triangle is a plane shape, a closed figure with three sides and three vertices.

Solid geometry deals with three-dimensional shapes that have length, width, and height or depth.

The three dimensions considered in solid geometry are length, width, and height, which define the size and shape of solid objects.