"Parallelograms and Their Properties" PPT Courseware 2

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"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:

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Update Time: 2024-11-26

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