| Category | Format | Size |
|---|---|---|
| Qingdao Edition Eighth Grade Mathematics Volume 2 | pptx | 6 MB |
"Parallelograms and Their Properties" PPT Courseware 2
Description
"Parallelograms and Their Properties" PPT Courseware 2
A quadrilateral with two sets of opposite sides that are parallel is called a parallelogram.
The quadrilateral ABCD shown in the figure is a parallelogram.
Understanding parallelograms:
A quadrilateral with opposite sides that are parallel Parallelogram
Geometry language:
∵AB∥CD，AD∥BC
∴ Quadrilateral ABCD is a parallelogram
∵ Quadrilateral ABCD is a parallelogram
∴AB∥CD，AD∥BC
As shown in the figure: Quadrilateral ABCD is a parallelogram.
Verify: AB=CD,AD=BC
Proof: Link BD
∵ Quadrilateral ABCD is a parallelogram
∴AD∥BC ,AB∥CD
∴∠1=∠2, ∠3=∠4
∵BD=DB
∴△ABD≌△CDB(ASA)
∴AD=CB，AB=CD
What conclusions can we draw from the above proof?
Geometric language:
Property 1: Opposite sides of a parallelogram are equal.
∵ Quadrilateral ABCD is a parallelogram
∴AB=CD，AD=BC
Property 2: The opposite angles of a parallelogram are equal.
∵ Quadrilateral ABCD is a parallelogram
∴∠A＝∠C，∠B＝∠D
Practice in class
1. Fill in the blanks:
(1) Parallelograms __________ are parallel, __________ are equal, and __________ are equal;
(2) As shown in the figure below, EF∥BC, GH∥AB, EF and GH intersect at point O, then there are ____ parallelograms in the figure.
2. Quadrilateral ABCD is a parallelogram. Which line segments among its four sides can be obtained from each other through translation?
Class summary:
1. What properties of graphics are studied in this lesson?
2. What is a parallelogram?
3. What are the properties of parallelograms?
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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 4:
"Parallelogram and Its Properties" PPT Courseware 4 Review: 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? Experiments and Inquiries Please read Chapter 6 of the textbook carefully.
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Update Time: 2024-07-05
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