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Authoritative PPT Summary
"Parallelograms and Their Properties" PPT Courseware 4
Review the past:
1. What is a parallelogram? How to express?
2. What are the properties theorems of parallelograms?
3. How to express its property theorem in geometric language?
Experimentation and inquiry
Please read pages 6 and 7 of the textbook carefully and complete the following:
1. What is the third property theorem of parallelograms? Will you prove it?
2. How to use the property theorem of parallelograms to prove?
Explore new knowledge:
Prove: ∵ Quadrilateral ABCD is a parallelogram,
∴AB∥CD,AB=CD
∴∠1=∠2
∵∠AOB=∠COD
∴△AOB≌△COD
∴OA=OC, OB=OD
Geometry language:
∵ Quadrilateral ABCD is a parallelogram
∴OA=OC, OB=OD
Properties of parallelograms
Theorem 1: Opposite sides of a parallelogram are equal.
Theorem 2: Opposite angles of a parallelogram are equal.
Theorem 3: The diagonals of a parallelogram bisect each other.
Class summary:
1. What are the properties of parallelograms?
2. What is the geometric language of these properties?
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"Parallelograms and Their Properties" PPT courseware 6:
"Parallelogram and Its Properties" PPT courseware 6 1. The concept of parallelogram: 1. Definition: A quadrilateral with two sets of opposite sides that are parallel is called a parallelogram. 2. Characteristics: a. It belongs to a quadrilateral; b. It has two sets of opposite sides. Parallel. 3. Symbol: □ such as parallel four..
"Parallelograms and Their Properties" PPT courseware 5:
"Parallelograms and Their Properties" PPT Courseware 5 Knowledge Review Definition A quadrilateral with two sets of opposite sides that are parallel is a parallelogram. Properties: Opposite sides of a parallelogram are parallel and equal; Opposite angles of a parallelogram are equal; Adjacent angles are complementary. Caught between two parallel lines...
"Parallelograms and Their Properties" PPT courseware 3:
"Parallelograms and Their Properties" PPT courseware 3 Parallelogram concept: A quadrilateral with two sets of opposite sides that are parallel is called a parallelogram. Opposite sides: AB and CD, AD and BC Opposite angles: DAB and BCD, ABC and CDA Diagonals: AC, BD Mathematical symbols of parallelograms:..