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Authoritative PPT Summary
"Parallel Lines and Their Drawing Methods" PPT Courseware 2
learning target:
1. Understand the concept and expression method of two parallel lines in a plane.
2. Be able to use a set square and ruler to draw parallel lines to a known straight line through a point outside the straight line.
3. Understand and master the basic properties of parallel lines.
The concept of parallel lines:
Two straight lines that do not intersect in the same plane are called parallel lines.
As shown in the figure, straight line AB is parallel to straight line CD, and straight line m is parallel to straight line n.
Usually "//" is used to indicate parallelism, recorded as "AB∥CD", "m//n",
It is read as "AB is parallel to CD" and "m is parallel to n".
Take a test
1. What are the positional relationships between two non-overlapping straight lines in the same plane?
2. Decide whether the following statements are correct and explain why.
①Two straight lines that do not intersect are parallel lines. ( )
② In the same plane, two non-intersecting line segments are parallel lines. ( )
3. Use the symbol "∥" to indicate that the two opposite sides of the parallelogram in the figure are parallel.
Basic properties of parallel lines:
Property 1: passing through a point outside the straight line, there is and is only one straight line parallel to the known straight line.
Property 2: Two straight lines parallel to the same straight line are parallel.
summary
What did you learn in this lesson?
(1) The concept and representation of parallel lines;
(2) How to draw parallel lines;
(3) Properties of parallel lines.
Compliance testing
1. As shown in the figure: There is a point E in ∠AOB. Draw OA and
The parallel lines EC and ED of OB are represented by symbols: OA//CE ED//OB
2. Determine whether it is right or wrong:
(1) In the same plane, two non-parallel straight lines are intersection lines ( )
(2) Two straight lines parallel to the same straight line must be parallel ( )
(3) Two straight lines that intersect the same straight line must intersect ( )
(4) There is and is only one straight line parallel to the known straight line through a point outside the straight line ( )
Challenge yourself
Observe the cuboid in the picture below and answer:
(1) Can you find a pair of parallel edges?
(2) Can you find a pair of mutually perpendicular edges?
(3) Can you find a pair of edges that neither intersect nor are perpendicular?
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"Parallel Lines and Their Drawing Methods" PPT courseware:
"Parallel Lines and How to Draw It" PPT Courseware What are Parallel Lines? Two straight lines that do not intersect in the same plane are called parallel lines. As shown in the figure: Line AB is parallel to line CD, denoted as AB∥CD. Read Draw AB parallel to CD. What are the characteristics of parallel lines?