| Category | Format | Size |
|---|---|---|
| Qingdao Edition Eighth Grade Mathematics Volume 2 | pptx | 6 MB |
"Determination of Parallelograms" PPT courseware 3
Description
"Determination of Parallelograms" PPT courseware 3
review
What are the properties and determinations of parallelograms that we have learned before?
nature
Opposite sides of a parallelogram are equal.
Opposite angles of a parallelogram are equal.
The diagonals of a parallelogram bisect each other
determination
A quadrilateral with two sets of opposite sides that are parallel is a parallelogram.
A set of quadrilaterals whose opposite sides are parallel and equal is a parallelogram.
A quadrilateral with two equal sides is a parallelogram.
Determination theorem 3 of parallelograms
A quadrilateral whose diagonals bisect each other is a parallelogram
Known: In the quadrilateral ABCD, AC and BD intersect at point O. And A0=CO, BO=DO
Prove: Quadrilateral ABCD is a parallelogram.
Proof: ∵A0=CO, B0=DO, ∠1=∠2
∴△OAB≌△OCD (SAS)
∴AB＝CD
Similarly AD=BC
∴ Quadrilateral ABCD is a parallelogram.
How to determine parallelograms
1. A quadrilateral with two sets of opposite sides that are parallel is...
2. A quadrilateral with two sets of opposite sides equal to each other is...
3. A set of quadrilaterals whose opposite sides are parallel and equal is...
4. A quadrilateral with two sets of equal opposite angles is...
5. A quadrilateral whose diagonals bisect each other is...
Reflect on summary, expand and improve
Summary of rules:
When proving that a quadrilateral is a parallelogram, when there are conditions related to diagonals in the question conditions, "a quadrilateral whose diagonals bisect each other is a parallelogram" is often used to prove; when there is a set of opposite sides that are parallel or parallel in the question conditions. When it comes to the relationship of equality, we often prove that a set of opposite sides are equal or parallel, using "a set of parallel and equal quadrilaterals is a parallelogram" to prove.
Keywords: teaching courseware on the determination of parallelograms, Qingdao edition eighth grade mathematics volume 2 PPT courseware download, eighth grade mathematics slide courseware download, determination of parallelograms PPT courseware download, .PPT format;
For more information about the "Determination of Parallelograms" PPT courseware, please click on the "Determination of Parallelograms" PPT tab.
"Determination of Parallelograms" Parallelogram PPT Download (Lesson 3):
"Determination of Parallelograms" Parallelogram PPT download (Lesson 3), 21 pages in total. Learning objectives: Explore and prove the equality properties of parallel line segments sandwiched between parallel lines; use the equality properties of parallel line segments between parallel lines to solve related problems, and understand the equality between parallel lines..
"Determination of Parallelograms" Parallelogram PPT Download (Lesson 2):
"Determination of Parallelograms" Parallelogram PPT download (Lesson 2), 21 pages in total. Learning Objectives Explore and prove the determination theorem that a quadrilateral whose diagonals bisect each other is a parallelogram; use the determination that a quadrilateral whose diagonals bisect each other is a parallelogram..
"Determination of Parallelograms" Parallelogram PPT Download (Lesson 1):
"Determination of Parallelograms" Parallelogram PPT download (Lesson 1), 17 pages in total. Learning Objectives Explore and prove that a quadrilateral in which two sets of opposite sides are equal and one set of opposite sides are parallel and equal is a parallelogram; use the two sets of opposite sides to be equal and one set of parallel and equal sides..
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Update Time: 2024-07-30
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