"Properties of Parallelograms" Quadrilateral PPT Courseware 2

Description

"Properties of Parallelograms" Quadrilateral PPT Courseware 2

Definition: A quadrilateral with two sets of opposite sides that are parallel is called a parallelogram. The line segment formed by two non-adjacent vertices is called its diagonal.

Representation method Parallelogram ABCD, recorded as "□ABCD", pronounced as "parallelogram ABCD", in which line segments AC and BD are called diagonals.

Properties 1. The two opposite sides of a parallelogram are parallel;

2. Opposite sides of a parallelogram are equal,

3. The opposite angles of a parallelogram are equal and two adjacent angles are complementary.

Describe the properties of parallelograms

∵ Quadrilateral ABCD is a parallelogram

∴ AB∥CD；AD∥BC

AB=CD; AD=BC

∠BAC= ∠BCD; ∠ABC= ∠ADC

The diagonals of a parallelogram bisect each other.

Known: As shown in the figure: The diagonals AC and BD of ABCD intersect at point O.

Verify: OA=OC, OB=OD.

Prove: ∵ Quadrilateral ABCD is a parallelogram,

∴ AD=BC, AD∥BC.

∴ ∠1=∠2, ∠3=∠4.

∴ △AOD≌△COB(ASA).

∴ OA=OC, OB=OD.

Choice: The characteristics that parallelograms have but general quadrilaterals do not have are ()

A. Instability B. Diagonals bisect each other

C. The sum of the interior angles is 360 degrees. D. The sum of the exterior angles is 360 degrees.

If the length of one side of a parallelogram is 5, then the lengths of its two diagonals can be ( )

A. 12 and 2 B. 3 and 4

C. 4 and 6 D. 4 and 8

As shown in the figure, in the plane rectangular coordinate system, the coordinates of the vertex O�B�D of □OBCD are as shown in the figure, then the coordinates of the vertex C are ( )

A. (3,7) B. (5,3)

C. (7,3) D. (8,2)

Summary and reflection

1. What did you gain from studying this lesson?

2. What are the properties of parallelograms?

Sides: Opposite sides are parallel, opposite sides are equal

Angles: Opposite angles are equal and adjacent angles are complementary

Diagonal: Diagonals bisect each other

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For more information about the "Properties of Parallelograms and Quadrilaterals" PPT courseware, please click on the "Properties of Parallelograms ppt Quadrilaterals ppt" tag.

"Properties of Parallelograms" PPT download:

"Properties of Parallelograms" PPT download Part 1: Introduction of new lesson Re-understanding of quadrilaterals Definition A quadrilateral with two sets of opposite sides that are parallel is called a parallelogram. The line segment connecting two non-adjacent vertices of a parallelogram is called its diagonal. Expression methods such as...

"Properties of Parallelograms" PPT courseware:

"Properties of Parallelograms" PPT courseware Part 1: Conclusion Definition A quadrilateral with two sets of opposite sides that are parallel is called a parallelogram. Representation method Parallelogram ABCD, denoted as □ABCD, pronounced as parallelogram ABCD, in which line segments AC and BD are called pairs..

"Properties of Parallelograms" PPT:

"Properties of Parallelograms" PPT Part One Content: Knowledge Review Properties of Parallel Lines: It is known that AB//CD, EF intersects AB, CD at E, F. Two straight lines are parallel and have the same internal offset angles, the same equivalent angles, and the complementary internal angles. Teaching objectives 1: What is a parallelogram? 2..

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Update Time: 2024-10-04

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