Can anyone give me a systematic induction of the properties and theorems of all quadrilaterals?

Parallelogram Definition: A set of quadrilaterals in the same plane where two opposing sides are parallel is called a parallelogram.

Judgment Theorem 1Two sets of quadrilaterals with equal opposite sides are parallelogram 2A set of opposites parallel and a set of diagonally equal is a parallelogram3A set of quadrilaterals with opposite sides parallel and equal is a parallelogram 4Two sets of quadrilaterals with equal diagonal angles are parallelograms.

5.Two sets of quadrilaterals with opposite sides parallel to each other are parallelograms.

Rectangle A parallelogram with a corner that is at right angles is called a rectangle.

Quality. 1 The four corners of a rectangle are all right angles, and the opposite sides are equal.

2 The diagonal lines of the rectangle are equal.

4 A rectangle is both axisymmetric and center-symmetrical (the axis of symmetry is a line connecting the midpoints of any set of opposite sides).

5 pairs of sides are parallel and equal.

6 The diagonal lines are bisected with each other ( The distance has all the properties of a parallelogram. Judgment theorem. 1 A parallelogram with an angle that is a right angle is a rectangle.

2 A parallelogram with equal diagonal lines is a rectangle.

3 A quadrilateral with three corners that are right angles is a rectangle.

Rhombus A group of parallelograms with equal adjacent sides is called a rhombus.

Properties The diagonals are perpendicular to each other and bisected;

All four sides are equal;

The diagonals are equal, and the adjacent angles are complementary;

Each diagonal is bisected by a set of diagonals, and the diamond has all the properties of a parallelogram.

Judgment A group of parallelograms with equal adjacent sides is a rhombus A quadrilateral with equal sides is a rhombus.

A quadrilateral with diagonal perpendicular to each other and bisected is a diamond.

Square: Parallelogram Rhombus Rectangle The properties possessed by him are both.

If you can tell that the figure is both a diamond and a rectangle, then it's a square.

Trapezoidal A trapezoid is a set of quadrilaterals in which one set of opposite sides is parallel and another set of opposite sides is not parallel.

Judgment theorem A set of quadrilaterals in which the opposite sides are parallel and the other is not parallel to the opposite sides is trapezoidal.

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Two sets of quadrilaterals with opposite sides parallel to each other are parallelograms. Two sets of opposite sides are equal tangent to parallel diagonals. A Ling shape is a parallelogram with equal adjacent sides and all four sides are equal.

1.A parallelogram with diagonal phases, etc.

2.An angle of 90 degrees is like a parallel quadrilateral.

3.The three corners are 90-degree quadrilaterals.

4.A quadrilateral that all four corners want to wait for.

The perfect quadrilateral has many beautiful properties, such as: a complete quadrilateral, the four triangles in the complete quadrilateral, the perpendicular collinear of the four triangles of the complete quadrilateral, be ea=(bf fd)*(dc ca) (as shown in the figure), etc.

About the instructional design of "The Nature of the Parallelogram".