"Making Axisymmetric Figures" Axisymmetric PPT Courseware 3

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"Making Axisymmetric Figures" Axisymmetric PPT Courseware 3

Characteristics of axial symmetry transformation:

From a plane figure, we can get a figure that is symmetrical about a straight line l. This figure has exactly the same shape and size as the original figure;

Every point on the new figure is a symmetric point of a certain point on the original figure with respect to the straight line l;

A line segment connecting any pair of corresponding points is bisected perpendicularly by the axis of symmetry.

Either of the two figures that are axially symmetrical can be regarded as being obtained by axially symmetrical transformation of the other figure. An axially symmetrical figure can also be regarded as being based on a part of it and expanded through axially symmetrical transformation.

How to draw the symmetrical line segment A′B′ of line segment AB with respect to straight line l?

practice:

1. Draw a perpendicular to the straight line l through point A, with the vertical foot being point O. Intersect OA’=OA on the vertical line. Point A’ is the symmetry point of point A with respect to straight line l;

2. Similarly, draw the symmetry point B’ of point B with respect to straight line l;

3. Connect A’B’.

General steps for constructing a given figure that is symmetrical about a given straight line:

1. Find points (determine some special points in the graph);

2. Draw points (draw symmetric points of special points about known straight lines);

3. Connect lines (connect symmetry points).

Characteristics of axial symmetry transformation:

1. From a plane figure, you can get a figure that is symmetrical about a straight line l. This figure has exactly the same shape and size as the original figure;

2. Every point on the new graph is a symmetric point of a certain point on the original graph with respect to the straight line l;

2. Every point on the new graph is a symmetric point of a certain point on the original graph with respect to the straight line l;

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For more information about the PPT courseware "Axisymmetric Figures as Axisymmetric Figures", please click the Axisymmetric Figures as Axisymmetric Figures ppt tag.

"Making Axisymmetric Figures" Axisymmetric PPT Courseware 2:

"Making Axisymmetric Figures" Axisymmetric PPT Courseware 2 Review of old knowledge 1. If a figure is folded along a straight line, and the parts on both sides of the straight line can overlap each other, this figure is called an axially symmetric figure. 2. If two figures are symmetrical about a straight line, then they are symmetrical..

"Making Axisymmetric Figures" Axisymmetric PPT Courseware:

"Constructing Axisymmetric Figures" Axisymmetric PPT Courseware Summary: From a plane figure, you can get a figure that is axially symmetrical about a straight line L. This figure has exactly the same shape and size as the original figure; every point on the new figure is A certain point on the original graph is related...

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Update Time: 2024-12-11

This template belongs to Mathematics courseware People's Education Press Eighth Grade Mathematics Volume 1 industry PPT template

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