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"Basic Properties of Axisymmetry" PPT courseware
Axisymmetric:
For two figures, fold one figure in half along a certain straight line. If it can completely coincide with the other figure, then the two figures are said to be axially symmetrical.
This straight line is the axis of symmetry
1. As shown in the figure: △ABC and △DEF are axially symmetrical about the straight line L. What is the relationship between △ABC and △DEF?
2. If two triangles are congruent, must they be symmetrical about a certain straight line?
The relationship between congruence and axial symmetry:
Two figures that are axially symmetrical must be congruent, but two figures that are congruent are not necessarily axially symmetrical.
Corresponding points: A pair of points that can overlap after folding along a certain line is called corresponding points
Corresponding sides: After folding along a certain straight line, a pair of sides that can overlap is called corresponding sides.
Corresponding angles: A pair of angles that can overlap after folding along a certain line is called corresponding angles
Axisymmetric properties
1. The line connecting the corresponding points is bisected perpendicularly by the axis of symmetry
2. Corresponding line segments are equal and corresponding angles are equal.
Give it a try:
1. At a party, the host asked a question: "How to turn 2+3=8 into a real equation". No one answered it for a long time. Xiaolan just took out a mirror and quickly solved the problem. After solving this problem, do you know how she did it?
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"Basic Properties of Axisymmetry" PPT courseware 3:
"Basic Properties of Axial Symmetry" PPT Courseware 3 Teaching Objectives 1. Experience the process of exploring the properties of two axially symmetrical figures, further experience the characteristics of axial symmetry, and develop spatial concepts. 2. Develop the habit of diligent thinking through hands-on operations, cooperation and communication. Activity..
"Basic Properties of Axisymmetry" PPT courseware 2:
"Basic Properties of Axisymmetry" PPT Courseware 2 Review and Consolidation 1: 1. Properties of axial symmetry: (1) In two axially symmetrical figures, the line connecting corresponding points is bisected perpendicularly by the axis of symmetry, (2) Two axially symmetrical figures are congruent. (3) The corresponding line segments are equal, corresponding to...