what what is the the difference between intersecting lines and parallel lines .
Answers
The lines intersect at one point. This point is called the point of intersection. Sometimes lines intersect with other lines at more than one point. Parallel lines do not cross or intersect
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Intersecting Lines and Parallel Lines
Intersecting lines are lines that cross at some point. You can think of an intersection in a pair of streets to help you remember intersecting lines.
Here is an example of intersecting lines that you would see in geometry.
The lines intersect at one point. This point is called the point of intersection. Sometimes lines intersect with other lines at more than one point.
Parallel lines do not cross or intersect. They are equidistant.
Here is an example of parallel lines.
If you use a symbol for parallel lines, the symbol looks like this:
AB←→∥CD←→
.
This means that line
AB
is parallel to line
CD
.
Examples
Example 1
Earlier, you were given a problem about Carmelita and her drawing of two streets.
Are the two streets represented by parallel or intersecting lines?
First, determine if the lines intersect.
No
Next, determine if the lines appear to be equidistant.
Yes
Then, identify the lines as parallel or intersecting.
Parallel
The answer is that the lines are parallel.
Example 2
Determine if the lines are parallel or intersecting.
First, determine if the lines intersect.
No
Next, determine if the lines appear to be equidistant.
Yes
Then, identify the lines as parallel or intersecting.
Parallel
The answer is that the lines are parallel.
Example 3
Determine if the lines are parallel or intersecting.
First, determine if the lines intersect.
Yes
Then, identify the lines as parallel or intersecting.
Intersecting
The answer is that the lines are intersecting.