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

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

Parallel line properties 1:

Two parallel lines intersected by a third straight line have equal angles.

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

Geometric language expression:

∵a∥b (known)

∴∠1=∠2 (two straight lines are parallel and have equal angles)

Properties of parallel lines:

Property 1: Two straight lines are parallel and have equal angles.

Property 2: Two straight lines are parallel and their internal offset angles are equal.

Property 3: Two straight lines are parallel and interior angles on the same side are complementary.

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What is the difference between "judgment" and "property" of parallel lines?

Knowing the relationship between angles (either equal or complementary), the conclusion that two straight lines are parallel is the judgment of parallel lines.

It is known that two straight lines are parallel, and the conclusion that the relationship between angles (either equal or complementary) is obtained is the property of parallel lines.

1. Quick answer

1. As shown in the figure, it is known that parallel lines AB and CD are intercepted by straight line AE.

(1) From ∠1=110o, we can know what degree ∠2 is? Why?

(2) From ∠1=110o, we can know what degree ∠3 is? Why?

(3) From ∠1=110 o, we can know what degree ∠4 is? Why?

2. As shown in the figure, the two roads before and after two turns on a road are parallel to each other. The first angle ∠B is 142�. What is the second angle ∠C? Why?

3. As shown in the figure, straight line a ∥ b, straight line b is perpendicular to straight line c, then is straight line a perpendicular to straight line c?

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

"Properties of Parallel Lines" PPT download:

"Properties of Parallel Lines" PPT Download Part 1 Content: Review Review What are the methods for determining parallel lines? How to identify parallel lines: (1) the angles of the same angles are equal, two straight lines are parallel (2) the internal angles are equal, the two straight lines are parallel (3) the internal angles on the same side are complementary, Two straight lines are parallel...

"Properties of Parallel Lines" PPT:

"Properties of Parallel Lines" PPT Part One Content: Knowledge Review 1. If B=1, according to _______________, we can get AD//BC 2. If 1=D, according to _______________, we can get AB//CD 3. If B+BCD=180, according to___..

"Properties of Parallel Lines" PPT courseware download:

"Properties of Parallel Lines" PPT courseware download Part 1 content: Do a hands-on experiment: Select any two parallel lines a, b on the prepared grid book (1) Draw a straight line c and parallel lines a, b arbitrarily intersect. (2) Choose any pair of co-positioned angles and measure them with a protractor...

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Update Time: 2024-11-22

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

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