What kind of quadrilateral is a quadrilateral if the diagonal is perpendicular? 5

There is no pattern to the diagonal perpendicular quadrilateral.

The midpoints of each side are connected to be rectangular. Since two lines parallel to the same line must also be parallel, then the quadrilateral must be a parallelogram, and a parallelogram with a right angle must be a rectangle.

Upstairs answers incorrectly, not necessarily a regular quadrilateral, take any two isosceles triangles with equal bottom edges, and the diagonal of the quadrilateral formed when their bottom edges coincide is perpendicular. Rectangle.

The midpoints of each side are also regular quadrilaterals.

Because it's the same length on each side.

A quadrilateral with a diagonal perpendicular line cannot be determined what shape it is.

It could be a square, a diamond, or something else. For example, take two triangles with a 60-degree angle and put them together (hypotenuse, two 60-degree angles together) to form a quadrilateral, and the diagonal is also vertical.

What kind of quadrilateral is a quadrilateral if the diagonal is perpendicular?

It may be diamond-shaped, square-shaped, or trapezoidal.

What kind of quadrilateral is connecting the midpoints of its borderlessness? Why?

Rectangles or squares are possible.

This can be demonstrated using the median line.

is a quadrilateral with a diagonal perpendicular line.

Rectangle. Demonstrated by the nature of the triangular median.

The opposite side is parallel, the edge is perpendicular, and it is rectangular.

It can be a diamond, it can be a square, or it can be nothing at all. The decision theorem for a rhombus is that a quadrilateral with diagonals perpendicular to each other and bisected is a rhombus or a parallelogram with diagonals perpendicular to each other is a rhombus.

The diagonals of the diamond are perpendicular to each other, and the holes are pure and bisect each set of diagonals.

Rhombic properties: Rhomboids have 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.

Lu Chan rhombus determines that in the same plane, a group of parallelograms with equal adjacent sides is a rhombus;

A parallelogram with diagonal perpendicular to each other is a rhombus;

A quadrilateral with all four sides equal is a rhombus;

quadrilaterals whose diagonals are bisected perpendicular to each other;

Two diagonal lines divide each set of diagonal quadrilaterals;

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.

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

The rhombus has all the properties of a parallelogram;

1. The four sides of the diamond are equal;

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

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

4. The diamond is a central symmetrical figure;

It's a square. Because the corners of a square are right angles, their diagonals are perpendicular to each other; The sides of the square are all equal, so their diagonals are all equal.

The four sides are equal and the four corners are all right-angled, and the quadrilateral is a square. The two opposite sides of the square are parallel to each other, and all four sides are equal; All four corners are 90°; The diagonals are perpendicular, bisected, and equal to each other, and each diagonal is bisected by a set of opposing cavity angles.

There are 3 properties of a quadrilateral perpendicular to the diagonal, which are:

Property 1: The area of the quadrilateral is equal to half of the product of the two diagonals of the long exaltation;

Property 2: The quadrilateral formed by connecting the midpoints of the four sides of the quadrilateral is a rectangle;

Property 3: The sum of the squares of the four line segments obtained by the intersection of the diagonal lines of the quadrilateral is equal to half of the sum of the squares of the four sides of the quadrilateral.

The properties of the quadrilateral perpendicular diagonal have 3 segments, namely:

Property 1: The area of the quadrilateral is equal to half of the product of the length of the two diagonals;

Property 2: The quadrilateral formed by connecting the midpoints of the four sides of the quadrilateral is a rectangle;

Property 3: The sum of squares of the four line segments obtained by the intersection of the diagonal lines of the quadrilateral is equal to half of the sum of the squares of the four sides of the quadrilateral.