"Parallelograms and Their Properties" PPT Courseware 4

Description

"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:..

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Update Time: 2024-11-16

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