Triangle Classification |
Sharding |
Acute triangle, acute triangle, right triangle |
Split by edge |
Equi triangle, equi triangle, not equi triangle |
Angular bisector of a triangle |
The split line between an angle of a triangle and the opposite side of this angle. The line between the vertex and the intersection of this angle is called the split line of the angle of the triangle. |
Midline of a triangle |
A line segment connecting a vertex of a triangle is called the midline of a triangle. |
Triangle height |
The height of a triangle is the vertical line from a vertex to its opposite side. |
Middle line of a triangle |
A line segment connecting the midpoint of a triangle is called the middle line of a triangle. |
Equi-Form |
Definition |
The two triangles that can completely overlap are called full equi triangles. |
Nature |
The corresponding edges, corresponding angles, the bisector of the corresponding angles, the height and the midline are equal. |
Determination |
Any triangle |
Right Triangle |
(1) The two sides correspond to the same angle. As SAS |
(1) One side is equal to the other. |
(2) The two angles correspond to the same side. As asaa or AAS |
(2) The two sides are equal. |
(3) The three sides are equal. Sss |
(3) equal oblique and straight corner edges (HL) |
Three-angle four-core |
Name |
Definition |
Nature |
Inner |
The intersection of the three angular bisector of a triangle is called the inner point of a triangle (the center of the inner circle) |
(1) The distance from the heart to the three sides of the triangle is equal. (2) A vertex of a triangle shares the angle with the inner link. |
External |
The intersection of the vertical bisector on the three sides of a triangle is called the outer heart of a triangle. (That is, the center of the outer circle) |
(1) The distance from the outer heart to the three vertices of the triangle is equal. (2) the link between the outer heart and the middle point of the Triangle must be vertical. (3) the straight line perpendicular to one side of the Triangle through the outer heart must be evenly divided. |
Center of gravity |
The intersection of three midline triangles is called the center of gravity of the triangle. |
(1) the distance from the center of gravity to the midpoint of each side is 1/3 of the midline. (2) the link between the triangle vertex and the center of gravity must be over the midpoint of the edge. |
Focus |
The three high points of a triangle are called the center of a triangle. |
A vertex of a triangle must be perpendicular to the edges of the vertical center. |