Is it correct that the height of the trapezoid must be shorter than the waist?

No, in a right-angled trapezoid, the height can also be equal to the waist. Trapezoids include: right-angled trapezoids, isosceles trapezoids,"Irregular"Trapezium.

1. Right-angle trapezoid.

The left, upper left and lower left angles are all 90 degrees, which is called a right-angled trapezoid, so the height of the right-angled trapezoid and the length of the waist on the left are equal.

2. Isosceles trapezoid.

The left (hypotenuse) waist in the picture above is the same length as the right (hypotenuse) waist. The upper left and upper right angles of an isosceles trapezoid are equal, and the lower left and lower right angles are equal.

3. Not isosceles, not right angles, isolinous, and right angles are collectively called trapezoids.

Definitely right. The end of a waist on the shorter upper edge of any trapezoidal shape is the starting point, and a line segment perpendicular to the lower edge is the height. The hypotenuse of a right triangle will always satisfy more than any other side.

The height of the trapezoid must be shorter than the waist. (False).

Analysis: For example, in a right-angled trapezoid, the waist at the right angle is equal to the height.

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Definitely, you can use the Pythagorean theorem.

It is wrong that the trapezoidal waist must be longer than the height. According to the meaning of the height of the trapezoid, take any point on the upper bottom of the trapezoid, and make a perpendicular line segment below the bottom of this good model point is the height of the trapezoid. Such a line segment can be made into an infinite number of lines, so that a friend can draw an infinite number of heights without slowing down a trapezoid, and because the upper and lower bottoms of the trapezoid are parallel to each other, these heights are equal; The waist is a line from the top to the bottom, and when it is a right-angled trapezoid, the height and a waist are equal.

Right angled trapezoidal. Definitions:

A trapezoid with a waist perpendicular to the bottom is called a right trapezoid.

Properties: 1. Right-angled trapezoid, of which 2 corners are right-angled chalu.

2. It has a certain stability, but it is weaker than a non-right-angle trapezoid.

Judgment: 1. A trapezoid shape perpendicular to the bottom of a waist is a right-angled trapezoid.

2. A trapezoid with an inner angle of right angles is a trapezoidal with a right angle.

Wrong. In a right-angled trapezoid, height can also be equal to a waist. With the exception of the right-angled trapezoid, the height of the trapezoid must be shorter than its waist.

Isosceles trapezoidal nature.

1. The two waists of the isosceles trapezoidal are equal.

2. The two bottom angles of the isosceles trapezoidal on the same bottom are equal.

3. The two diagonals of the isosceles trapezoidal are equal.

4. The isosceles trapezoidal shape is an axisymmetric figure, and the symmetry axis is the straight line where the line connecting the midpoint of the upper and lower bottom is located.

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Characteristics of the trapezoid: there is a set of opposite sides that must be parallel, but the length is not limited. The other set of opposite sides is arbitrary.

The trapezoid is wider than the parallelogram, rectangle, and square, and the parallelogram, rectangle, and square are actually special cases of the trapezoid.

Trapezoidal properties: 1. The upper and lower bottoms of the trapezoid are parallel;

2. The median line of the trapezoidal shape (the line connected by the midpoint of the two waists is called the median line) is parallel to the two bases and is equal to half of the sum of the upper and lower bases.

3. The isosceles trapezoidal diagonal is equal.

Analysis: The right angle trapezoidal height and a waist are equal.

Yes, the hypotenuse of a right triangle must be the same as the right side.

It is not right that the height of the trapezoid must be shorter than the waist, and the height in the right-angled trapezoid can also be equal to the waist.

(False).Because in a right triangle, the hypotenuse is the longest, the height of such a trapezoid is shorter than the waist;

For right-angled trapezoids, the height and waist are equal;

In summary, the height of the trapezoid is shorter or the same length than the waist, that is, the height of the trapezoid must not be longer than the waist So this statement is wrong.

Because in a right-angled triangle, the hypotenuse is the longest, it follows: the height of the trapezoid must be shorter than the waist;

So the answer is:

It should be wrong, because the right-angled trapezoid has its height equal.

It should be wrong.

If it's a right-angled trapezoid, it's the same length.

Because in a right-angled triangle, the hypotenuse is the longest, it follows: the height of the trapezoid must be shorter than the waist;

So the answer is:

Because in a right triangle, the hypotenuse is the longest, the height of such a trapezoid is shorter than the waist;

For right-angled trapezoids, the height and waist are equal;

To sum up, the height of the trapezoid is shorter or the same length than the waist, that is, the height of the trapezoid must not be longer than the waist, so the stem statement is wrong

So the answer is:

Isosceles trapezoids are also numerous strips high.

Pass any point on the upper bottom of the trapezoidal shape to make the perpendicular line of the lower bottom, and the length of this perpendicular line segment is called the height of the trapezoid. Because the upper bottom is a line segment, and there are countless points on a line segment, the upper bottom that can pass through the trapezoidal shape can make countless perpendicular lines to the bottom of the bottom, and there are countless highs.

According to the definition of height, the height of the trapezoid is the distance between the two bases of the trapezoid, the two bases are parallel, and the distance between the two parallel lines is certain, so the length of these countless heights is equal.

ExtensionsMaterials

Quality. 1. The two waists of the isosceles trapezoidal are equal.

2. The two bottom angles of the isosceles trapezoidal on the same bottom are equal.

3. The two diagonals of the isosceles trapezoidal are equal.

4. The isosceles trapezoidal shape is an axisymmetric figure, and the symmetry axis is the straight line where the line connecting the midpoints of the upper and lower bottoms is located (the straight line passing through the midpoints of the two bottoms).

Decide. 1. A trapezoid with equal waists is an isosceles trapezoid;

2. A trapezoid with two equal angles on the same bottom is an isosceles trapezoid;

3. A trapezoid with equal diagonal lines is an isosceles trapezoid.

A trapezoid is a set of quadrilaterals in which one set of opposite sides is parallel and the other set of opposite sides is not parallel. The two parallel sides are called the bottom edge of the trapezoid, the long bottom edge is called the lower bottom, and the short bottom edge is called the upper bottom. The two sides that are not parallel are called the waist; The perpendicular segment sandwiched between the two bases is called trapezoidal height.

A trapezoidal shape with a waist perpendicular to the bottom is called a right-angle trapezoid. A trapezoid with two equal waists is called an isosceles trapezoid. Isosceles trapezoidal is a special trapezoidal shape, and its determination method is similar to that of isosceles triangle. I didn't pay attention.