"Translation" Intersecting Lines and Parallel Lines PPT Courseware 4

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"Translation" Intersecting Lines and Parallel Lines PPT Courseware 4

1. What do the following movement phenomena have in common?

2. Can you find out what has not changed and what has changed when comparing the two graphics before and after the translation?

If the puppy moves forward 50 meters, in what direction does the box it is dragging move? How far did it move?

If the puppy runs 80cm to the left, then the box has moved ______ toward ______.

think about it

Based on the above analysis, can you explain what kind of graphic movement is called translation?

In a plane, moving a figure a certain distance in a certain direction is called translation.

Translation does not change the shape or size of the object

Translation properties:

After translation, the line segments connected to the corresponding points are parallel and equal;

Corresponding line segments are parallel and congruent, and corresponding angles are congruent.

How to translate a triangle

Example After translation, the vertex A of triangle ABC moves to point D. Draw the translated triangle.

Analysis: Suppose vertices B and C are translated to E and F respectively,

According to "after translation, the line segments connected to the corresponding points are parallel and equal", it can be seen that the line segments BE, CF and AD are parallel and equal.

Solution: As shown in the figure, draw line segments BE and CF through points B and C respectively so that they are parallel and equal to line segment AD, connecting DE, DF and EF. Triangle DEF is the translated shape of triangle ABC.

Summary: How to perform translation drawing.

The key is to make corresponding points as required.

Then, just connect the corresponding points in sequence.

Explain phenomena in life

When decorators use the same mold to brush patterns on the wall, they often move the mold after each pattern, and finally form a beautiful pattern. What is the relationship between any two patterns in the picture?

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Update Time: 2024-08-30

This template belongs to Mathematics courseware People's Education Press Seventh Grade Mathematics Volume 2 industry PPT template

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