"Determination of Parallel Lines" Intersecting Lines and Parallel Lines PPT Courseware 2

Description

"Determination of Parallel Lines" Intersecting Lines and Parallel Lines PPT Courseware 2

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.

Key points: 1. Understand the definition of parallel lines and be able to express them with symbols. Be able to draw parallel lines with the help of triangles, graph paper, etc.

2. Explore the basic properties of parallel lines (basic facts).

Difficulty: Exploring the basic determination method of parallel lines

Review questions

(1) What are the positional relationships between two straight lines in a plane?

Intersect and parallel

(2) How to draw a parallel line to a known straight line through a point outside the known straight line?

How to determine parallel lines 1

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

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

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.

practice

Exercise: Known: ∠1=∠A=∠C,

(1) From ∠1=∠A, which two straight lines can be judged to be parallel? What is it based on?

(2) From ∠1=∠C, which two straight lines can be judged to be parallel? What is it based on?

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.

practice

1.As shown in the figure

(1) From ∠1=∠2, we can deduce ____∥____, the reason is ____.

(2) From ∠2=∠____, we can deduce c∥d, the reason is ____.

(3) If ∠1=75° and ∠4=105°, we can deduce ____∥____. The reason is ____.

ultimate challenge

1. Which of the following statements is wrong ( )

A. Equiposition angles are not necessarily equal. B. Internal deviation angles are all equal.

C. The interior angles on the same side are complementary. D. The angles on the same side are equal and the two straight lines are parallel.

2. As shown in the figure, if ∠D=∠EFC, then ( )

A.AD∥BC B.EF∥BC C.AB∥DC D.AD∥EF

3. In the same plane, if straight lines a, b, and c satisfy a⊥b, a⊥c, then the positional relationship between b and c is ______.

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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...

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Update Time: 2024-11-18

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

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