Question

The present day geometry where we study the properties of plane figures is called_______________geometry
(a) Coordinate
(b) Euclidean
(c) Cartesians
(d) None of these

Answer 1

Hint: Here we need to check the given information with each of the definition of the given
options.
Coordinates geometry is a study of geometry where we determine the length of the line, curve or
any figure using the coordinate points. Therefore, one cannot explain the properties of the plane
figure using coordinate geometry.
Thus, option (a) is incorrect.
The study of plane figures based on axioms and theorems including points, lines, planes, angles,
congruence, similarity, solid figures are the topics described in the Euclidean geometry. The
given statement the present day geometry where we study the properties of plane figures is called
Euclidean geometry.
Hence, the option is (b) correct.
Like Coordinate geometry, Cartesian geometry is used to determine the length of the line, curve
or any figure using the coordinate points.Simply, we can say that the Cartesian geometry is a
study of the coordinate geometry.Therefore, we cannot explain the properties of the plane figure
using coordinate geometry.
Thus, option (c) is incorrect.
Note: Euclidean geometry is introduced by a Greek mathematician Euclid. In this geometry
Euclid described plane figures like triangle, square, rectangle etc. Thus, from this
information we can say that the present day geometry where we study the properties of plane
figures is calledEuclidean geometry. In case of Coordinate geometry or the Cartesian geometry,
we study the different figures with respect to its coordinate point.