Answer: Lines with the same slope are parallel and if the slope of one line is negative reciprocal of second line then lines are perpendicular else lines are intersecting. Hence. the lines are parallel.
How do you determine if a line is parallel?
What are four ways that could be used to prove that two lines are parallel?
- Corresponding angles.
- Alternate interior angles.
- Alternate exterior angles, or.
- Supplementary angles.
How can you determine it two lines are perpendicular?
Things to try
- In the diagram at the top of the page, press 'reset'.
- Note that because the slope of one line is the negative reciprocal of the other, the lines are perpendicular.
- Adjust one of the points C,D. The lines are no longer perpendicular.
- Click on "hide details". Determine the slope of both lines and prove they are not perpendicular. ...
Can two parallel lines ever become perpendicular?
When two planes are perpendicular to the same line, they are parallel planes When a plane intersects two parallel planes , the intersection is two parallel lines. Parallel and Perpendicular Lines Geometry Index
How do you graph parallel and perpendicular lines?
- perpendicular
- parallel
- neither
What are parallel lines?
Parallel lines are the lines that never intersect and perpendicular lines are the lines that intersect at 90 degrees.
What is the slope of a line that is perpendicular?
If the slope of one line is the negative reciprocal of the second line, then lines are perpendicular. Hence, both the lines are perpendicular.
How to prove that two lines are perpendicular?
We can prove that two lines are perpendicular by finding their slopes and verifying that the slopes are negative reciprocals of one another. In both cases, we see that to prove that two lines are parallel or perpendicular, we simply find the slopes of the lines and verify that they satisfy the relationship of slopes between parallel ...
What is parallel line?
Parallel lines are lines that never intersect. The slopes of parallel lines are the same. To prove that two lines are parallel, we find their slope and verify that those slopes are equal. Perpendicular lines are lines that create 90 degree angles where they intersect.
How to find the negative reciprocal of a perpendicular line?
The negative reciprocal of a number can be found by interchanging the numerator and denominator of the number and changing the sign from positive to negative or negative to positive. For example, if a line has slope 2/3, then ...
What is a negative reciprocal of a number?
The slopes of perpendicular lines are negative reciprocals of one another, where the negative reciprocal of a number is that number with the numerator and denominator interchanged and the sign of the number switched from positive to negative or negative to positive.
Do parallel lines have the same slope?
Parallel lines have the same slope. We can use this fact to prove that two lines are parallel. Basically, all we have to do is show that two lines have the same slope, and this would prove the two lines are parallel. For example, suppose we wanted to prove that the two lines in our image are parallel.
What happens if a line is perpendicular?
Possible Answers: Correct answer: Explanation: If lines are perpendicular, then their slopes will be negative reciprocals. First, we need to find the slope of the given line. Because we know that our given line's slope is , the slope of the line perpendicular to it must be . Report an Error.
How to tell if two lines are perpindicular?
When determining if a two lines are perpindicular, we are only concerned about their slopes. Consider the basic equation of a line, , where m is the slope of the line . Two lines are perpindicular to each other if one slope is the negative and reciprocal of the other.
What is the slope of a line that is perpendicular to a given line?
In other words, the slope of a line that is perpendicular to a given line is the negative reciprocal of that slope.
What is the negative reciprocal of a line?
In other words, the slope of a line that is perpendicular to a given line is the negative reciprocal of that slope. Thus, for a line with a given slope of 3, the line perpendicular to that slope must be the negative reciprocal of 3, or .
Can you find the product of slopes?
Yes, because the product of their slopes is not . No, because the product of their slopes is not . Correct answer: No, because the product of their slopes is not . Explanation: If the slopes of two lines can be calculated, an easy way to determine whether they are perpendicular is to multiply their slopes.