Diamond Definition, Nature Definition and properties of diamond

Lozenge. Definition Within a plane, a set of parallelograms with equal adjacent sides is a rhombus

A parallelogram with diagonal perpendicular to each other is a rhombus, and a quadrilateral with all four sides equal is a rhombus property. 1. The diagonals are perpendicular to each other and bisected, and each diagonal is bisected by a group of diagonals;

2. All four sides are equal;

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

4. The rhombus is both an axisymmetric figure, the symmetry axis is the straight line where the two diagonals are located, and it is also a central symmetrical figure, 5. In a 60° rhombus, the short diagonal is equal to the side length, and the long diagonal is 3 times that of the short diagonal.

6. The rhombus is a special parallelogram, which has all the properties of a parallelogram.

Related conclusions. The area of the diamond is equal to the base multiplied by the height, which is equal to half of the product of the diagonal.

Generalization: A quadrilateral with diagonals perpendicular to each other, whose area is equal to half of the product of the diagonals.

In a plane, a set of parallelograms with equal adjacent sides is a rhombus The parallelograms with diagonal sides perpendicular to each other are rhombus A quadrilateral with equal sides is a rhombus Properties: The four sides are equal, the diagonals are bisected perpendicularly, and the opposite sides are parallel to each other.

A quadrilateral with equal sides is called a rhombus Properties The four sides are equal The diagonals are perpendicular to each other and bisected The others are the same as those of the parallelogram.

1. Definition of rhombus: A group of parallelograms with equal adjacent sides is called rhombus.

2. The nature of the rhombus: the four sides of the rhombus are equal and the diagonal is equal; The diagonals are perpendicular to each other and bisected, and each diagonal is bisected by a set of diagonals;

3. Determination of rhombus: a quadrilateral with equal sides is a rhombus; A group of parallelograms with equal adjacent sides is a rhombus; A quadrilateral with diagonal perpendicular to each other and bisected is a diamond.

The definition of a rhombus is: a group of parallelograms with equal adjacent sides is called a rhombus, and the properties are: the diagonals are perpendicular to each other and bisected, the four sides are equal, the diagonal is equal, the adjacent angles are complementary, etc.

In the same plane, there is a group of parallelograms with equal adjacent sides is a rhombus, and the quadrilaterals with equal sides are rhombuses, the diagonals of the rhombus are bisected perpendicular to each other and bisect each group of diagonals, the rhombus is an axisymmetric figure, and there are 2 axes of symmetry, that is, the straight line where the two diagonals are located, and the rhombus is a central symmetrical figure.

The properties of the rhomboid are: the rhombus has all the properties of a parallelogram; The four sides of the rhombus are all equal; The diagonals of the rhombus are bisected perpendicular to each other and each group of diagonals is bisected; The rhombus is an axisymmetric figure, and there are 2 axes of symmetry, that is, the straight line where the two diagonals are located; The rhombus is a center-symmetrical figure.

The quadrilateral obtained by connecting the midpoints of each side of the quadrilateral in turn is called a midpoint quadrilateral. Regardless of the shape of the original quadrilateral, the shape of the midpoint quadrilateral is always a flat-branched quadrilateral. The midpoint quadrilateral of a rhombus is always rectangular.

The midpoint of the diagonal perpendicular quadrilateral is searched as a rectangle).

Determination of the diamond:

provided that it is in the same plane.

1. A group of parallelograms with equal adjacent sides is a diamond.

2. A parallelogram with diagonal perpendicular to each other is a diamond.

3. A quadrilateral with four equal sides is a diamond.

4. A quadrilateral with diagonals bisected perpendicular to each other.

5. Two diagonal lines divide each group of diagonal quadrilaterals equally.

A parallelogram with a diagonal dividing an inner angle; The rhombus is defined under the premise of a parallelogram, first of all, it is a parallelogram, and it is a special parallelogram, the special feature is that "there is a group of adjacent sides equal", thus adding some special properties and judgment methods.

One diagonal of the diamond must be parallel to the x-axis and the other diagonal to the y-axis. Geometric rhombies that do not meet this condition are considered general quadrilaterals in computer graphics.

A: The diamond is a figure that can be seen everywhere in everyday life, but do you really know the nature of the diamond? Let me give you popular science!

Within a plane, there is a set of parallelograms with equal adjacent sides that are rhomboids.

Its properties are: 1. It has all the properties of a parallelogram. 2. All four sides are equal;

3. The diagonals are bisected perpendicular to each other and each group of diagonals is equally divided. 4. It is not only an axisymmetric figure, but also a center-symmetrical object-empty imitation figure, and there are 2 symmetry axes, that is, the straight line where the two diagonals are located.

So how do you determine a diamond?

The methods for determining the rhombic shape are as follows: 1. In the same plane, a group of parallelograms with equal adjacent sides are diamond-shaped. 2. A parallelogram with diagonal perpendicular to each other is a diamond.

3. A quadrilateral with equal four sides is a diamond. 4. A quadrilateral with diagonals bisected perpendicular to each other. 5. Two diagonal lines divide each group of diagonal quadrilaterals.

6. There is a parallelogram with a diagonal bisecting an inner angle.

1. Definition of rhombus: A group of parallelograms with equal adjacent sides is called a rhombus.

2. The nature of the rhombus: 1. The diagonals are perpendicular to each other and bisected; 2. All four sides are equal; 3. The diagonals are equal, and the adjacent angles are complementary; 4. Each diagonal line is divided into a group of diagonal rounds; 5. The diamond shape is not only an axisymmetric figure, and the symmetry axis is the straight line where the two diagonals are located, and it is also a central symmetrical figure; 6. In a 60-degree rhomboid, the short diagonal is equal to the side length, and the long diagonal is 3 times the root number of the short diagonal; Sliding slag 7, diamond has all the properties of parallelogram.

3. Determination of rhombus: 1. A group of parallelograms with equal neighboring sides is rhomboid; 2. A quadrilateral with equal sides is a diamond; 3. The quadrilateral with two diagonals symmetrical is a diamond; 4. A quadrilateral with diagonals perpendicular to each other and bisected is a diamond.

<>1. The determination of the rhombus: a group of parallelograms with equal adjacent sides is called a rhombus.

2. The nature of the rhombus: 1. The diagonals are perpendicular to each other and bisected; 2. All four sides are equal; 3. The diagonals are equal, and the adjacent angles are complementary; 4. Each diagonal line is equally divided into the diagonal of the morning Huichun group; 5. The diamond shape is not only an axisymmetric figure, and the symmetry axis is the straight line where the two diagonals are located, and it is also a central symmetrical figure; 6. In a 60-degree rhomboid, the short diagonal is equal to the side length, and the long diagonal is 3 times the root number of the short diagonal; 7. The rhombus has all the properties of a parallelogram.

3. Determination of rhombus: 1. A group of parallelograms with equal adjacent sides is a bi-shaped rhombus; 2. A quadrilateral with equal sides is a diamond; 3. The quadrilateral with two diagonals symmetrical is a diamond; 4. A quadrilateral with diagonals perpendicular to each other and bisected is a diamond.

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

Quality. The diagonals perpendicate each other straight and equally divided;

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 rhombus is both a symmetrical figure lacking in the axis book, and the axis of symmetry is the straight line where the two diagonals are located, and it is also a central symmetrical figure.

In a 60° diamond, the short diagonal is equal to the side length, and the long diagonal is 3 times the short diagonal.

The diamond shape has all the properties of a flat orange side quadrilateral.

Decide. A group of parallelograms with equal adjacent sides is a rhombus;

A quadrilateral with equal sides is a diamond.

About the two diagonals that are axisymmetric quadrilateral is a diamond.

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

The quadrilateral obtained by connecting the midpoints of each side of the quadrilateral in turn is called a midpoint quadrilateral. No matter how the shape of the original quadrilateral changes, the shape of the midpoint quadrilateral is always parallelogram. The midpoint quadrilateral of a rhombus is a rectangle (the midpoint quadrilateral of a quadrilateral with diagonal lines perpendicular to each other is a rectangle), and the midpoint quadrilateral of a quadrilateral with equal diagonals is a rhombus.

The rhombus is defined on the premise of a parallelogram, first of all it is a parallelogram, but it is a special parallelogram, and the special feature is that "there is a group of adjacent sides equal", so it adds some special properties and different judgment methods from parallelograms.

Diamond area. 1.Half of the product of the diagonal lines (as long as the quadrilateral with diagonal lines perpendicular to each other is available);

2.Bottom multiplication height.

Features. The midpoint of each side of the diamond is a rectangle.

A square is a special diamond, and a diamond is not necessarily a square, so a figure with equal sides on the same plane is not just a square.

The properties of the rhombus are as follows:1. The rhombus has all the properties of a parallelogram.

2. The four sides of the diamond are equal.

3. The diagonals of the diamond are bisected perpendicular to each other and each group of diagonals is equally divided.

4. The diamond shape is an axisymmetric figure, and there are 2 symmetrical axes, that is, the straight line where the two diagonals are located.

5. The rhombus is a center-symmetrical figure.

6. The area of the diamond is half of the diagonal product.

The rhombus is defined on the premise of a parallelogram, and we will have a set of parallelograms with equal collar edges called a rhombus. The rhombus is a special parallelogram, so it has all the properties of a parallelogram.

The rhombus is one of the special parallelograms. There is a group of parallelograms with equal adjacent sides called diamonds. Example:

In the parallelogram ABCD, if AB=BC, the parallelogram ABCD is said to be a diamond, denoted as ABCD, and read as a diamond ABCD.

Diamond Judgment Method:1. A group of parallelograms with equal adjacent sides is a diamond.

2. A parallelogram with diagonal perpendicular to each other is a diamond.

3. The quadrilateral with equal sides of the four strikes is a diamond.

4. A quadrilateral with diagonals bisected perpendicular to each other.

5. Two diagonal lines divide each group of diagonal quadrilaterals equally.

6. There is a parallelogram with a diagonal line and an inner angle.

A rhombus is a group of parallelograms with equal adjacent sides in the same plane. The rhombus is axisymmetric and center-symmetrical. First the quadrilateral with equal sides is the diamond, then the parallelogram with two diagonals parallel to each other is the diamond, the next group of parallelograms with equal adjacent sides is the diamond, and finally the diagonal bisect is the diamond.