Axisymmetric figure, a mathematical term, is defined as a figure folded along a straight line in a plane, and the parts on both sides of the straight line can completely overlap.
A straight line is called the axis of symmetry, and the axis of symmetry is represented by a dotted line. At this time, we also say that this figure is symmetrical about this line. Such as circle, square, isosceles triangle, equilateral triangle, isosceles trapezoid, etc.
Extended data:
I. Related nature
1, the symmetry axis is a straight line.
2. In an axisymmetric figure, the distance between the corresponding points on both sides of the axis of symmetry is equal.
3. Axisymmetric graphics, folded in half along the axis of symmetry, and completely overlapped left and right.
4. If two figures are symmetrical about a straight line, then this straight line is the line segment whose symmetry axis bisects the symmetry point vertically.
5, graphic symmetry.
Second, judgment.
1. If two figures are symmetrical about a straight line, then the symmetry axis is the perpendicular to the line segment connected by any pair of corresponding points.
2. Similarly, the symmetry axis of an axisymmetric figure is the median vertical line of a line segment connected by any pair of corresponding points.
3. The distance between the point on the vertical line of the line segment and the two endpoints of the line segment is equal.
4. Symmetry axis is the set of points with equal distance to both ends of the line segment.
Baidu Encyclopedia-Axisymmetric Graphics