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"Central Symmetry" Rotation PPT Courseware
Clarify learning goals
1. Be proficient in mixed operations of rational numbers, and be able to use operational laws to simplify operations;
2. Able to use mixed operations of rational numbers to solve practical problems.
Explore point 1: The concept of central symmetry
Activity 1: Read the content on page 62 of the textbook, communicate with each other and think about the following questions:
(1) In Figure 23.2-1 and Figure 23.2-2, how many degrees are the figures rotated? What changes after rotation?
(2)What is central symmetry? What is the center of symmetry? What is the symmetry point about the center?
Exploration point 2: Derivation of central symmetry properties
Activity 2: Read the content on page 63 of the textbook, communicate with each other and think about the following questions:
(1) How does the textbook prove that the three points A, O, and A′ are on a straight line?
(2) What are the properties of central symmetry?
Summarize, sort out, integrate and improve
1. Rotate a figure 180° around a certain point. If it can coincide with another figure, then we say that the two figures are centrally symmetrical. This point is called the center of symmetry. The corresponding point in the two figures is called A point of symmetry about the center.
2. Properties of central symmetry: (1) For two centrally symmetrical figures, the line segments connected to the symmetry points all pass through the symmetry center and are bisected by the symmetry center; (2) Two centrally symmetrical figures are congruent figures.
3. Method of drawing central symmetry: connect the known points and the symmetry center and extend them, then intercept equal line segments on the extension line, then make all the symmetry points and connect them in sequence.
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