"Design using axial symmetry" axial symmetry PPT courseware

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"Design using axial symmetry" axial symmetry PPT courseware

Knowledge review

What is an axisymmetric figure? What does it mean that two figures are axially symmetrical?

1. 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 called the axis of symmetry.

2. For two figures, if they can completely overlap after being folded along a straight line, then the two figures will form axial symmetry, and this straight line will be the axis of symmetry.

What are the main properties of axial symmetry?

1. Two figures that are symmetrical about a certain straight line are congruent shapes;

2. If two figures are symmetrical about a straight line, then the line segments connected to the corresponding points are bisected perpendicularly by the axis of symmetry;

3. The corresponding line segments and corresponding angles of two axially symmetric figures are equal.

think about it

The figure shows half of a pattern, where the dotted line is the axis of symmetry of the pattern.

(1) Guess: What is the shape of the whole pattern?

(2) How to draw its other half accurately?

Class summary

1. Draw the symmetry point A’ of point A with respect to l:

(1) Draw a perpendicular to the axis of symmetry l through point A, and the vertical foot is B;

(2) Extend A B to A’, so that BA’ = A B.

(3) Point A’ is the symmetry point of point A with respect to l.

2. Draw symmetrical figures of simple plane figures:

Find key points to make symmetry points! Then connect the line segments.

3. Use axial symmetry to design patterns.

Migration and expansion

1. The picture below was selected as a test question for the entrance examination by Harvard University. Please find the inherent rules contained in the following set of graphic symbols, and then fill in the appropriate graphics in the blank spaces of the graphics.

2. A certain residential area wants to build a flower bed on a rectangular open space and is now soliciting design plans.

Requirements: (1) The designed pattern consists of several rectangles and circles;

(2) The entire rectangular site should become an axially symmetrical figure.

Please give your design plan. ("Famous Schools" page 81 "Relocation" 2)

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For more information about the PPT courseware "Axisymmetric design using axial symmetry", please click the Axisymmetric ppt design using axial symmetry ppt tag.

"Designing with Axis Symmetry" Axis Symmetry PPT Courseware 3:

"Designing with Axial Symmetry" Axial Symmetry PPT Courseware 3 Symmetry is an idea through which people pursue throughout their lives and create order, beauty and perfection. In the world we live in, many beautiful things are designed using axial symmetry , they not only decorate me...

"Designing with Axis Symmetry" Axis Symmetry PPT Courseware 2:

"Designing with Axial Symmetry" Axial Symmetry PPT Courseware 2 Teaching Objectives 1. Able to create axially symmetrical shapes of simple plane figures as required. 2. Appreciate the axial symmetry graphics in real life, be able to use axial symmetry to design some patterns, and experience the application of axial symmetry in reality..

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Update Time: 2024-11-25

This template belongs to Mathematics courseware Beijing Normal University seventh grade mathematics volume 2 industry PPT template

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