"Determination of Parallel Lines" Intersecting Lines and Parallel Lines PPT Courseware

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"Determination of Parallel Lines" Intersecting Lines and Parallel Lines PPT Courseware

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"Determination of Parallel Lines" Intersecting Lines and Parallel Lines PPT Courseware

learning target

1. Master the three methods of determining parallel lines. And use the methods learned to determine whether two straight lines are parallel.

2. Be able to conduct simple reasoning based on judgment methods and learn to write simple reasoning processes using mathematical symbols.

3. Understand the transformation thought in mathematics.

Observe and think

Discussion and exchange

1. What role does the ruler play in the drawing process? What is the positional relationship between ∠1 and ∠2?

2. During the movement of the triangle, have the sizes of ∠1 and ∠2 changed?

3. Do you have any method to judge a//b?

How to determine parallel lines 1

If two straight lines are intercepted by a third straight line, if _______ are equal, then the two straight lines _______.

Simply put: the same angles are equal and the two straight lines are parallel

think

Two straight lines are intercepted by a third straight line, and at the same time, concentric angles, interior angles on the same side, and interior angles on the same side are obtained. The two straight lines can be judged to be parallel based on the equality of the concentric angles. Then, can we use interior angles and interior angles on the same side to determine the two straight lines? What about parallelism?

How to determine parallel lines 2

If two straight lines are intercepted by a third straight line, if the internal offset angles are equal, then the two straight lines are parallel.

Simply put: the internal angles are equal and the two straight lines are parallel.

How to determine parallel lines 3

If two straight lines are intercepted by a third straight line, if the interior angles on the same side are complementary, then the two straight lines are parallel.

Simply put: interior angles on the same side are complementary and two straight lines are parallel.

explore

In the same plane, if two straight lines are perpendicular to the same straight line, are the two straight lines parallel? Why?

Solution: These two straight lines are parallel.

∵ b⊥a c ⊥a

∴∠1=∠2 = 90°

∴b ∥c (the angles are equal and the two straight lines are parallel)

Conclusion: Two straight lines perpendicular to the same straight line reach each other ( )

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For more information about the PPT courseware "Judgment of Parallel Lines Intersecting Lines and Parallel Lines", please click on the Judgment of Parallel Lines ppt Intersection Lines and Parallel Lines ppt tag.

"Determination of Parallel Lines" PPT download:

"Determination of Parallel Lines" PPT Download Part 1 Content: Creation Problem We already know: the same angles are equal and the two straight lines are parallel. That is, in the figure, if 1=2, then AB∥CD. Application: ∵ 1=2, (already Know) AB∥CD (the angles are equal and the two straight lines are parallel)..

"Determination of Parallel Lines" PPT:

"Judgment of Parallel Lines" PPT Part One: Review Review: 1. Judgment: 1. If two straight lines do not intersect, they are called parallel lines. 2. There is only one straight line parallel to a straight line. 3. If straight lines a and b are both parallel to c, then a and b are parallel. 2. How to...

"Determination of Parallel Lines" PPT Courseware 2:

"Determination of Parallel Lines" PPT Courseware 2 Review Questions 1. How to determine parallel lines? 2. As shown in the figure below, please state all the direct conditions that can obtain the straight line AB∥CD, and explain the reasons. Feedback evaluation, game solitaire 1. If A=3, then AD∥BE (same angle...

File Info

Update Time: 2024-11-27

This template belongs to Mathematics courseware People's Education Press Seventh Grade Mathematics Volume 2 industry PPT template

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"Determination of Parallel Lines" Intersecting Lines and Parallel Lines PPT Courseware
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