"Axisymmetric Figures" PPT Courseware 2

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"Axisymmetric Figures" PPT Courseware 2

If a figure is folded along a straight line and the parts on both sides of the straight line can overlap each other, then the figure is called an axially symmetric figure, and this straight line is its axis of symmetry.

Use the method of folding in half to determine whether a figure is axially symmetrical

1. Are the following figures axially symmetrical? How do you judge?

For each of the above axisymmetric figures, can you find the axis of symmetry? What are the methods?

2. As shown in the figure, AD bisects ∠BAC, AB=AC. (1) Is the quadrilateral ABCD an axially symmetrical figure? If you think so, please name its axis of symmetry. Which point is symmetrical to point B?

In an axially symmetric figure, two points that can overlap after being folded along the symmetry axis are called symmetry points.

(2) Connect BC and intersect AD at point E. Fold the quadrilateral ABCD in half along AD. Do BE and CE coincide? What about ∠AEB and ∠AEC? What conclusion do you draw from this?

Properties of axially symmetric figures:

The axis of symmetry bisects the line segment connecting two points of symmetry perpendicularly.

Changing from one figure to another and making the two figures overlap each other after being folded along a straight line is called axial symmetry of the figure.

This straight line is the axis of symmetry.

Two figures that are axially symmetrical are congruent figures.

The difference and connection between axially symmetrical figures and two figures forming axially symmetrical figures

Axisymmetric graphics

(1) Axisymmetric graphics refer to ( ) graphics with special shapes, only for ( ) graphics;

(2) There is only one axis of symmetry ( )

If an axially symmetric figure is divided into two parts along the axis of symmetry, then the two figures will be axially symmetrical about this straight line.

Two figures are axially symmetrical

(1) Axial symmetry refers to the positional relationship of the ( ) figure, which must involve the ( ) figure;

(2) There is only ( ) axis of symmetry.

If two axially symmetrical figures are put together and viewed as a whole, then it is an axially symmetrical figure.

Fold in half along a straight line so that the two folded parts completely overlap

1. Among the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, which ones are axis-symmetric figures?

2. Among the 26 English letters, how many are axially symmetrical figures?

3. Can you tell which of the Chinese characters are axially symmetrical figures?

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For more information about the "Axisymmetric Symmetry of Graphics" PPT courseware, please click the "Axisymmetric Symmetry of Graphics" ppt tag.

"Axisymmetric Symmetry of Figures" PPT courseware 3:

"Axisymmetric Symmetry of Figures" PPT Courseware 3 Learning Objectives 1. Through life examples, experience the process of abstracting the concept of axial symmetry and the axial symmetry of two figures about a straight line, and be able to identify the symmetry axis and symmetry point. 2. Can determine whether two graphics are about a straight line..

"Axisymmetric Symmetry of Figures" PPT courseware:

"Axisymmetric Figures" PPT Courseware 1. Axisymmetric Figures 1. Concept: If a figure is folded in half along a straight line and the figures on both sides can completely overlap, the figure is an axially symmetric figure. The line along which the crease is located is called the axis of symmetry. The axis of symmetry is...

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Update Time: 2024-11-20

This template belongs to Mathematics courseware Qingdao Edition Eighth Grade Mathematics Volume 1 industry PPT template

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