What is the definition of translation? Elementary School Mathematics

The definition of translation is as follows: translation refers to the movement of all points on a graph at the same distance in a straight direction in the plane, and such a graphic motion is called the translational motion of the graph, referred to as translation.

In elementary school mathematics, translation is quite common, generally the translation of a graph.

Definition of translation: It means that in the same plane, if all points on a figure move the same distance according to a straight direction, then such a graphic motion is called the translational motion of the graph, referred to as translation.

Panning does not change the shape and size of the graphic. After the graph is translated, the corresponding line segments are equal, the corresponding angles are equal, and the line segments connected to the corresponding points are also equal. It is isomorphic and is a type of affine transformation in affine space.

It can be thought of as adding the same vector to each point, or as a result of shifting the center of the coordinate system.

1. After the figure is translated, the shape and size do not change, only the position changes.

2. After the figure is translated, the line segments connected by the corresponding points are parallel. Or it is on the same straight line and equal.

3. Multiple continuous translations are equivalent to one translation.

4. The figure after even times of symmetry is equal to the figure after translation.

5. Translation is determined by direction and distance.

6. After translation, the corresponding line segments are parallel or collinear and equal, the corresponding angles are equal, and the line segments connected by the corresponding points are parallel or collinear and equal.

It means that in the same plane, if all points on a graph move the same distance according to a straight direction, then such a graphic motion is called the translational motion of the graph, referred to as translation.

People's Education Edition. Translation refers to the movement of all points on a graph at the same distance in a straight direction in a plane, and such a graphic motion is called the translational motion of the graph, referred to as translation.

The process of moving a figure as a whole in parallel for a certain distance in the direction of a straight line is called translation.

Pay attention to the direction and distance of the translation.

What is your definition of small? What is the definition of one? The definition of translation in elementary mathematics, that is, the movement on a plane, is called the definition of translation.

The second volume of the fifth grade of mathematics of the people's education edition. Translation refers to the movement of all points on a graph at the same distance in the same plane according to a straight direction, and such a graphic motion is called the translational motion of the graph, referred to as translation. In a plane, a figure rotates around a fixed point at a certain angle to get a change in another figure called rotation.

The basic nature of translation.

1) The shape and size of the figure before and after translation do not change, only the position changes.

2) After the graph is translated, the line segments formed by the corresponding points are parallel (or on the same straight line) and equal. Hail chain.

3) Multiple successive translations are equivalent to one translation.

4) The large graph after even times of symmetry is equal to the figure after translation.

5. Translation is determined by direction and distance.

6) After translation, the corresponding line segments are parallel (or collinear) and equal, the corresponding angles are equal, and the line segments connected by the corresponding points are parallel (or collinear) and equal.

The basic nature of rotation.

1) The distance from the corresponding point to the center of rotation is equal.

2) The angle between the corresponding point and the line segment connected to the center of rotation is equal to the angle of rotation.

3) The figure before and after rotation is congruent, that is, the size and shape of the figure before and after rotation do not change.

4) The center of rotation is the only point that does not move.

5) The angle of the line where the line of a set of corresponding points intersects is equal to the angle of rotation.

1. Translation is the movement of any two points on the object from one point to another point in the direction and distance of the same when the object is moving.

2. Rotation is the movement of the object when the distance from the same point is constant, which is called the rotation around this point, and this point is called the rotation center of the object. So, it doesn't have to be around a certain axis.

3. Translation and rotation are relative, so the distance between any two points of the object does not change when it moves, and it does not become its mirror image. The motion of a point can always be seen as translational.

Expansion: 1. The shape and size of the image do not change before and after translation, but the position changes.

2. After the image is translated, the line segments connected by the corresponding points are parallel and equal.

3. The graphics before and after rotation are congruent, that is, the size and shape of the graphics before and after rotation have not changed.

4. The center of rotation of the volcanic crack is the point where only the sail hail does not move.

Translation refers to the movement of all points on a figure at the same distance in a straight direction in the plane, and such a graphic motion is called the translation or digging motion of the graph, referred to as translation.

Translation does not change the shape and size of the nucleus of the tuk. The graph is translated so that the corresponding line segments are equal, the corresponding angles are equal, and the line segments connected to the corresponding points are equal. It is isomorphic and is a type of affine transformation in affine space.

It can be thought of as the result of adding the same vector to each point, or moving the center of the coordinate system. That is, if it is a known vector, it is a point in space, translation.

**The direction of translation is not limited to horizontal.

In the same plane, a figure is moved by a certain distance in a certain direction without changing the shape and size of the figure, which is called translation.

Translation refers to moving a figure in a certain direction for a certain distance in a plane, such a figure movement is called translation, and translation does not change the shape and size of the object