"Parallel Lines" Intersecting Lines and Parallel Lines PPT Courseware 3

"Parallel Lines" Intersecting Lines and Parallel Lines PPT Courseware 3

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"Parallel Lines" Intersecting Lines and Parallel Lines PPT Courseware 3

1. Learning objectives

1. Understand the parallel relationship between two straight lines and master the relevant symbolic representations.

2. Learn to use a triangle ruler and protractor to draw parallel lines.

3. Master the properties of parallel lines.

2. Key points and difficulties

Focus: Understand the relationship and related properties of two parallel lines.

Difficulty: Draw parallel lines and understand the meaning of parallel lines.

In-class exercises

1. Decide whether the following statements are correct and explain the reasons.

①Two straight lines that do not intersect are parallel lines.

② In the same plane, two non-intersecting line segments are parallel lines.

③After a point, you can and can only draw a straight line parallel to the known straight line.

2. Use the symbol "∥" to indicate that the two opposite sides of the parallelogram in the figure are parallel.

AB∥CD, AD∥BC.

Consolidation exercises

Which of the following statements is correct ( )

A. In the same plane, the positional relationships of two straight lines include intersection, perpendicular, and parallel.

B. In the same plane, two straight lines that are not perpendicular must be parallel.

C. In the same plane, two straight lines that are not parallel must be perpendicular.

D. In the same plane, two straight lines that do not intersect must not be perpendicular.

Do it

A cuboid is shown in the figure. How many edges are parallel to AA′? How many edges are there parallel to AB? Please represent them using symbols.

There are three edges parallel to AA′:

BB′∥AA′, CC′∥AA′, DD′∥AA′.

There are three edges parallel to AB:

A′B′∥AB, C′D′∥AB, CD∥AB.

give it a try

(1) Can you draw parallel lines in the square in the picture on the right?

method:

①Use the straight lines on the graph paper to draw parallel lines.

②Use the grid points (diagonals of the rectangle) to draw parallel lines.

(2) If you change the graph paper to white paper, which of the following tools can you use: ① Ruler ② Triangle ③ Protractor Can you draw parallel lines to the known straight line AB? How many lines can be drawn?

Do it

Which of the following statements is correct ( )

A. In the same plane, two rays that do not intersect are parallel lines;

B. In the same plane, two line segments that do not intersect are parallel lines;

C. In the same plane, the positional relationship between two straight lines is parallel unless they intersect;

D. Two straight lines that do not intersect are parallel lines.

summary:

1. Definition of parallel lines:

Two straight lines that do not intersect in the same plane are called parallel lines

2. Representation of parallel lines

Parallelism is usually represented by the symbol "//". AB//CD or a//b

3. Two properties of parallel lines

Parallel Axiom: (Uniqueness)

In the plane, through a point outside the straight line, there is one and only one straight line parallel to this straight line.

Corollary: If two straight lines are parallel to a third straight line, then the two straight lines are also parallel to each other.

(Transitivity of parallel lines) If a//c,b//c; then a//b

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For more information about the PPT courseware "Parallel Lines Intersecting Lines and Parallel Lines", please click the Parallel Lines ppt Intersection Lines and Parallel Lines ppt tab.

"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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