"Properties of Parallel Lines" Proof of Parallel Lines PPT

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"Properties of Parallel Lines" Proof of Parallel Lines PPT

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"Properties of Parallel Lines" Proof of Parallel Lines PPT, 27 pages in total.

Part One: Learning Objectives

1. Understand and master the axioms and theorems of the properties of parallel lines. (emphasis)

2. Be able to skillfully use the properties of parallel lines to conduct simple reasoning and proof. (difficulty)

PPT on the properties of parallel lines, part 2: teaching new lessons

Properties of parallel lines

Summary

axiom:

Two straight lines are parallel and have equal angles.

∵ a∥b, ∴∠1=∠2.

Property Theorem 1:

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

∵ a∥b, ∴∠1=∠2.

Property theorem 2:

Two straight lines are parallel and their interior angles on the same side are complementary.

∵ a∥b, ∴ ∠1+∠2=1800.

The conclusions here can be directly applied in the future.

PPT on the nature of parallel lines, part 3: practice in class

1. In the following figures, from AB∥CD, we can get ∠1=∠2 ( )

【Analysis】

In option A, ∠1 and ∠2 are interior angles on the same side, ∠1+∠2=180°, which is incorrect;

In option B, ∠1 and ∠2 are equal, which is correct;

In option C, ∠1 and ∠2 are the internal offset angles obtained by intercepting AC and BD by AD, which is incorrect;

In option D, ∠1 and ∠2 are the same side interior angles obtained by cutting AC and BD by CD, which is incorrect.

2. As shown in the figure, which of the following reasoning is incorrect ( )

A.∵AB∥CD,∴∠ABC+∠C=180°

B.∵∠1=∠2, ∴AD∥BC

C.∵AD∥BC,∴∠3=∠4

D.∵∠A+∠ADC=180°, ∴AB∥CD

Properties of Parallel Lines PPT, Part 4: Class Summary

Same angles

Internal angles are equal

Interior angles on same side are complementary

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For more information about the PPT courseware "Proof of Parallel Lines and Properties of Parallel Lines", please click on the "Proof of Parallel Lines PPT and Properties of Parallel Lines PPT" tags.

"Properties of Parallel Lines" Proof of Parallel Lines PPT teaching courseware:

"Properties of Parallel Lines" Proof of Parallel Lines PPT teaching courseware, 29 pages in total. The first part of the content: Learning objectives The properties of parallel lines The relationship between the properties of parallel lines and judgment... ... The properties of parallel lines PPT, the second part of the content: Understanding new knowledge Knowledge points...

"Properties of Parallel Lines" Proof of Parallel Lines PPT download:

"Properties of Parallel Lines" Proof of Parallel Lines PPT download, 17 pages in total. Part One: Knowledge Points Basic Knowledge Points Properties of Parallel Lines 1. As shown in the figure, if 1+2=180, then the following conclusion is correct (C) A.1=3 B.2=4 C.3+4= 180 D.2+3=180... ..

"Properties of Parallel Lines" PPT download of intersecting lines and parallel lines (Lesson 2):

"Properties of Parallel Lines" PPT download of intersecting lines and parallel lines (Lesson 2) Part 1: Think about it 1. Determination method of parallel lines 4: If a∥b, b∥c, then a∥c. (parallel Two straight lines parallel to the same straight line) 2. Do some research on the properties of parallel lines..

File Info

Update Time: 2024-07-01

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