A plane section consists of two-dimensional flat surface. The two dimensional analogues are the points with zero-dimensions, points with one-dimension and also with three-dimensional plane. From the theory of Euclidean geometry planes are seen as the parts of that space with higher dimensional space.
If we take a two-dimensional Euclidean space then we can say that it is a whole space and most of tasks in geometry and trigonometry are performed by using it. Planar cross sections are the important concepts in math. When a plane surface can be crossed by the intersection of a solid plane then it is known as the cross section. Some properties of planar cross section are given below,
Two planes either intersect in a line or they are parallel.
Two lines are parallel to a plane surface, they are contained in the same plane or meet at a single point.
Two lines are said to be parallel to each other if these lines are perpendicular to each other.
Perpendicular lines: If two lines intersect then four angles are formed at the intersecting points of the two lines. The condition of perpendicular line is that two lines are said to be perpendicular if four angles which are formed are equal and also if the slope of one is the negative reciprocal of the other then two lines are perpendicular. Let us suppose that if the slope of one line is n, then slope of the other is equal to the negative reciprocal that is -1/n. The perpendicular makes a right angle or 90° and it shows a relationship between two lines. On other hand parallel Lines are those lines which never intersect each other and so that parallel lines have the same slope. Perpendicular lines are those lines that intersect only at right angles. Because of this reason product of slopes of parallel lines is equal to – 1. (To get help on CBSE Sample papers click here) and In the next session we will discuss about Rectangular coordinate system in Grade IX.
If we take a two-dimensional Euclidean space then we can say that it is a whole space and most of tasks in geometry and trigonometry are performed by using it. Planar cross sections are the important concepts in math. When a plane surface can be crossed by the intersection of a solid plane then it is known as the cross section. Some properties of planar cross section are given below,
Two planes either intersect in a line or they are parallel.
Two lines are parallel to a plane surface, they are contained in the same plane or meet at a single point.
Two lines are said to be parallel to each other if these lines are perpendicular to each other.
Perpendicular lines: If two lines intersect then four angles are formed at the intersecting points of the two lines. The condition of perpendicular line is that two lines are said to be perpendicular if four angles which are formed are equal and also if the slope of one is the negative reciprocal of the other then two lines are perpendicular. Let us suppose that if the slope of one line is n, then slope of the other is equal to the negative reciprocal that is -1/n. The perpendicular makes a right angle or 90° and it shows a relationship between two lines. On other hand parallel Lines are those lines which never intersect each other and so that parallel lines have the same slope. Perpendicular lines are those lines that intersect only at right angles. Because of this reason product of slopes of parallel lines is equal to – 1. (To get help on CBSE Sample papers click here) and In the next session we will discuss about Rectangular coordinate system in Grade IX.
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