Line And Angle Symmetry
Line And Angle Symmetry
Line :
The geometrical figure line has infinite length as shown in the figure:
Symmetry of a Line:
Now as we know that a line has infinite length and any line perpendicular to the given line can be considered as a line of symmetry because it will divide the given line into two parts and whenever we fold a line along a line perpendicular to this line one part will overlap the other part. Thus, it can be said that each line perpendicular to the given divide the line into two equal halves(parts). So, a line has infinite number of symmetrical lines which are perpendicular to it. Also, a line is symmetrical to itself.
Line Segment:
A part of line which has a start point and an end point is called a line segment.
Symmetry of a Line Segment:
As a line segment is of fixed length. so we can draw only one perpendicular line bisector to the given line segment. Thus a line segment has two lines of symmetry, namely, the segment itself and the perpendicular bisector of the segment.
Angle:
Angle is drawn with the help of two intersection lines.
Symmetry of an Angle:
The angle bisector of the angle is a line which divides the angle into two parts such that if we fold an angle along a line which the angle bisector. The two arms defining the angle will overlap each other. Thus an angle with equal arms has one line of symmetry which is along the bisector of the angle.
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| Right Option : D | |||
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The line of symmetry for
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| Right Option : B | |||
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| Right Option : A | |||
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