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Pendicular lines can be parallel?
No, pendicular or can say it perpendicular lines can never be parallel as the angle b/w pendiular lines is 90 and parallel is 0 or 180 and both can not be same so ......pendicular lines cant become parallel.
If S equals straight lines in the plane and ab if a and b are parallel Verify that the relation is an equivalence relation on the set S given?
Establishing equivalence depends on the definition of parallel lines. If they are defined as lines which cannot ever meet (have no point in common), then the relation is not reflexive and so cannot be an equivalence relation.However, if the lines are in a coordinate plane and parallel lines are defined as those which have the same gradient then:the gradient of a is the gradient of a so the relationship is reflexive ie a ~ a.if the gradient of a is m then b is parallel to a if gradient of b = m and, if the gradient of b is m then b is parallel to a. Thus the relation ship is symmetric ie a ~ b b ~ a.If the gradient of a is m then b is parallel to a if and only if gradient of b = gradient of a, which is m. Also c is parallel to b if and only if gradient of c = gradient of b which is m. Therefore c is parallel to a. Thus the relation is transitive, that is a ~ b and b ~ c => a ~ c.The relation is reflexive, symmetric and transitive and therefore it is an equivalence relationship.
Do all parallel lines have a slope of zero?
No. the slope of parallel lines would be equal but not necessarily zero. How many values can m have in " y=mx +b "? where m is the slope of the lines.
How is the Transitive Property of Parallel Lines similar to the Transitive Property of Congruence?
If A ~ B and B ~ C then A ~ C. The above statement is true is you substitute "is parallel to" for ~ or if you substitute "is congruent to" for ~.
Do lines that aren't parallel always intersect?
Yes, they do. By definition, lines that never intersect must be parallel, so all non-parallel lines must intersect at some point. Given that they are normal lines (y=mx+b) they will always have a point that suffices the equation when they are set equal to each other.
What is The value of x that makes lines a and b parallel?
The answer will depend on what x, a and b are. Since the question provides absolutely no information on any of them, there can be no serious answer.
What is the value of x that makes two lines parallel?
In the standard line equation, y=mx+b, y and x are not constants. They are like the manipulated and responding variables of a science experiment. for two lines to be parallel m must be the same for both lines.
Pendicular lines can be parallel?
No, pendicular or can say it perpendicular lines can never be parallel as the angle b/w pendiular lines is 90 and parallel is 0 or 180 and both can not be same so ......pendicular lines cant become parallel.
If S equals straight lines in the plane and ab if a and b are parallel Verify that the relation is an equivalence relation on the set S given?
Establishing equivalence depends on the definition of parallel lines. If they are defined as lines which cannot ever meet (have no point in common), then the relation is not reflexive and so cannot be an equivalence relation.However, if the lines are in a coordinate plane and parallel lines are defined as those which have the same gradient then:the gradient of a is the gradient of a so the relationship is reflexive ie a ~ a.if the gradient of a is m then b is parallel to a if gradient of b = m and, if the gradient of b is m then b is parallel to a. Thus the relation ship is symmetric ie a ~ b b ~ a.If the gradient of a is m then b is parallel to a if and only if gradient of b = gradient of a, which is m. Also c is parallel to b if and only if gradient of c = gradient of b which is m. Therefore c is parallel to a. Thus the relation is transitive, that is a ~ b and b ~ c => a ~ c.The relation is reflexive, symmetric and transitive and therefore it is an equivalence relationship.
What is an arrow with two lines in mathematics?
== == It means 'implies'. So A --> B means 'if A is true then B is true' or 'A implies B'
How do you identify two linear equations that are parallel using slopes of two lines?
Two linear equations that are parallel with have the sameslope, or the m value in y = mx + b will be the same.For example, y = 3x + 5 is parallel to y = 3x - 6
Which of the following statements is a good definition a Skew lines are lines that do not intersect b Parallel lines are lines that do not intersect c A square is a rectangle with four congruent side?
b & c
Do all parallel lines have a slope of zero?
No. the slope of parallel lines would be equal but not necessarily zero. How many values can m have in " y=mx +b "? where m is the slope of the lines.
How do you find the slope of a line that is parallel to another line?
Slopes of parallel lines are all the same.If they are parallel, their formulae of the form "y = mx + b" will only differ in the b. The m will be constant.
How is the Transitive Property of Parallel Lines similar to the Transitive Property of Congruence?
If A ~ B and B ~ C then A ~ C. The above statement is true is you substitute "is parallel to" for ~ or if you substitute "is congruent to" for ~.
What is 4a equals 4-b 4a equals 2-b?
They appear to be the equations of two parallel lines in the a-b plane.
What is the relationship between the equations of parallel lines?
They have the same slope. If you write the lines in the slope-intercept form, you will get, for each line: y = ax + b where a is the slope, and b is the y-intercept (where the line crosses the y-axis). For two or more parallel lines, the coefficient "a" will be the same.
