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"Exploring the Conditions of Parallel Lines" Parallel Lines and Intersecting Lines PPT Courseware 2
Explore the conditions for parallel lines
The decoration worker is nailing wooden strips to the wall. If wooden strip b is perpendicular to the edge of the wall, what is the angle between wooden strip a and the edge of the wall to make wooden strip a and wooden strip b parallel?
Answer: Only when wooden strip a is also perpendicular to the edge of the wall can wooden strip a and wooden strip b be parallel.
Discuss According to the above method, students discuss, what is the relationship between the sizes of ∠1 and ∠2, when the wooden bar a and the wooden bar b are parallel?
(∠1=∠2)
What is the relationship between the positions of the angles shown below?
We call angles with a positional relationship like ∠1 and ∠2 (both on the same side of AB and CD, and on the same side of EF) called coposition angles
The two pictures below were taken while rotating. Now we use a protractor to measure the degrees of ∠1 and ∠2 in the picture. And answer: (1) Are ∠1 and ∠2 in picture A equal? Are the black and red lines parallel? (2) Are ∠1 and ∠2 in Figure B equal? Are the black and red lines parallel?
(1) ∠1 is not equal to ∠2, and the black line is not parallel to the red line
(2) ∠1 is equal to ∠2, the black line is parallel to the red line
Practice in class
Can you use an irregular piece of paper (for example, the quadrilateral paper as shown in the picture) to fold two parallel straight lines? Talk to your deskmate about your folding method.
summary:
(1).The concept of parallel lines
Two straight lines that do not intersect in the same plane are called parallel lines
(2). The condition for straight lines to be parallel is:
The parallel angles are equal and the two straight lines are parallel
(3). Draw a parallel line to the known straight line through a point outside the straight line.
teaching objectives:
1. Master the conditions for parallel lines through the process of exploring the conditions for parallel lines;
2. Be able to use a triangle to pass through a point outside the known straight line and draw a parallel line to this straight line;
3. Experience activities such as observation, operation, imagination, reasoning, and communication to further develop spatial concepts, improve reasoning and organized expression abilities, and cultivate students’ spirit of independent exploration and cooperative communication.
Teaching focus:
1. Explore the conditions for parallel lines
2. Master the concept of isotopic angle.
Teaching difficulties:
Develop spatial concepts, improve reasoning skills and organized expression.
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For more information about the PPT courseware "Parallel Lines and Intersecting Lines Exploring the Conditions of Parallel Lines", please click the "Parallel Lines and Intersecting Lines ppt Exploring the Conditions of Parallel Straight Lines" ppt tag.
"Exploring the Conditions of Parallel Lines" PPT Courseware 3 of Parallel Lines and Intersecting Lines:
"Exploring the Conditions for Parallel Lines" Parallel Lines and Intersecting Lines PPT Courseware 3 Knowledge Review Question 1: What are the positional relationships between two straight lines in the same plane? What are the differences? Question 2: As shown in the figure, what are the relationships between the four angles formed by the intersection of two straight lines? ..
"Exploring the Conditions of Parallel Lines" PPT Courseware of Parallel Lines and Intersecting Lines:
"Exploring the Conditions for Parallel Straight Lines" Parallel Lines and Intersecting Lines PPT courseware Methods that can be used to determine the conditions for two straight lines to be parallel 1. Parallel definition 2. Parallel axiom corollary 3. Two straight lines with equal angles are parallel to each other. Two straight lines AB and CD are parallel to each other. EF intercepts and observes the positions of 3 and 5..