Points and Lines
Grade 12 students will have some final tests this year, and it was started with Mock test IGCSE last week. For the upcoming weeks, they will have:
- Cambridge International Examination in October – November 2019,
- Final Test Semester 1 in December 2019,
- Try Out UNBK in February 2020,
- USBN in March 2020,
- UNBK in April 2020.
Hope they will have optimal preparation to face all those examinations.
In this semester, for mathematics, grade 12 will study about: Points and Lines, Linear Programming, Matrices, and Geometry. And for this two weeks, they are studying Points and Lines.
In modern mathematics, a point refers usually to an element of some set called a space. More specifically, in Euclidean geometry, a point is a primitive notion upon which the geometry is built, meaning that a point cannot be defined in terms of previously defined objects. That is, a point is defined only by some properties, called axioms. In particular, the geometric points do not have any length, area, volume or any other dimensional attribute.
While lines in modern mathematics given the multitude of geometries. The concept of a line is closely tied to the way the geometry is described. For instance, in analytic geometry, a line in the plane is often defined as the set of points whose coordinates satisfy a given linear equation, but in a more abstract setting, such as incidence geometry, a line may be an independent object, distinct from the set of points which lie on it.
For this topic, students have to know how to find linear equations and draw it on Cartessian plane. And also can distinguish whether two lines are parallel or perpendicular. (Umi Kurniahati)