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Authoritative PPT Summary
"Properties and Judgment of Rhombus" Special Parallelogram PPT Courseware 4
think about it
A rhombus is a special parallelogram that has all the properties of a general parallelogram. Can you list some such properties?
The opposite sides of a rhombus are parallel and equal, the opposite angles are equal, and the diagonals bisect each other.
What other special properties does the rhombus have? Please communicate with your companions.
Ask students to fold a piece of diamond-shaped paper and answer the following questions:
(1) Is the rhombus an axially symmetrical figure? If so, how many axes of symmetry does it have? What is the positional relationship between the axes of symmetry?
(2) What are the equal line segments in the rhombus?
in conclusion
A rhombus is an axially symmetrical figure with two axes of symmetry, which are the straight lines along which the diagonals of the rhombus collar are located. The two axes of symmetry are perpendicular to each other.
The adjacent sides of a rhombus are equal, the opposite sides are equal, and all four sides are equal.
A rhombus is a special parallelogram. In addition to having all the properties of a parallelogram, it also has special properties that parallelograms do not have:
Theorem All four sides of a rhombus are equal.
Theorem The two diagonals of a rhombus are perpendicular to each other.
Class summary
1. Definition of rhombus: A set of parallelograms with equal adjacent sides is a rhombus.
2. Properties of a rhombus: ① A rhombus is an axially symmetrical figure, and the axis of symmetry is the straight line where the two diagonals are; ② The four sides of the rhombus are equal; ③ The diagonals of the rhombus bisect each other perpendicularly.
3. The rhombus has all the properties of a parallelogram, and calculations and reasoning can be performed by applying the properties of the rhombus.
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