What is Mutual Splitting? What does it mean to divide each other equally

Two (or more) straight segments intersect at a point, and the segments are bisected by the intersection point.

Judgment: 1. Two sets of quadrilaterals with opposite sides parallel to each other are parallelograms.

Definition Judgment Method);

2. A group of quadrilaterals with opposite sides parallel and equal is a parallelogram;

3. Two sets of quadrilaterals with equal opposite sides are parallelograms;

4. Two groups of quadrilaterals with equal diagonal angles are parallelograms (two groups of opposite sides are judged to be parallel);

5. Diagonal.

Quadrilaterals that are bisected from each other are parallelograms.

Addendum: Condition 3 holds only when there is a plane quadrilateral, and if it is not a plane quadrilateral, even if it is two sets of quadrilaterals with equal opposite sides, it is not a parallelogram.

Auxiliary lines: 1. Connect diagonals or translate diagonal lines.

2. The perpendicular line that passes over the vertex as the opposite side forms a right-angled triangle.

3. Connect the diagonal intersection point with the midpoint of one side, or cross the diagonal intersection point as a parallel line on one side.

Forms a line segment parallel or median line.

Fourth, connect the vertex with the line segment on the opposite side or extend the line segment to construct a similar triangle.

or equal-area triangles.

5. The perpendicular line that crosses the vertex as a diagonal line constitutes a parallel or triangular congruence of line segments.

Dividing each other equally means that:

Let's say you have line A and line B in your hand. These two lines intersect. After intersecting, line segment A divides line segment B into two parts, and line segment B divides line segment A into two parts, so we say that these two line segments are bisected by each other.

That is, the intersection of the two line segments is the bisect WA, which is common to the two line segments

Bisect each other: Let's say you have a line A and a line B in your hand, and these two lines intersect. After intersecting, line segment A divides line segment B into two parts, and line segment B divides line segment A into two parts, so we say that these two line segments are equally divided into each other.

The difference between the midline and the bisect

The midline is a straight line that passes through the midpoint of an edge, which in the case of a triangle is a line segment and makes the two triangles bisected equal in area, but not congruent.

Dividing each other means that you divide me equally, and I divide you equally, for example, the diagonal lines of a rectangle are equal and divide each other, so the diagonals can be divided into four segments, each of which is equal.

If the two diagonals of the state ridge in a quadrilateral are bisected from each other, then the quadrilateral must be a parallelogram. This is just one law for judging parallelograms.

It is to verify that the intersection of the line segment EF and GH is the midpoint of these two line segments.

The two segments are bisected from each other, and the two segments are equal at both ends of the intersection.