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What is needed to determine a line?
Two points determine a line. Also there is one and only line perpendicular to given line through a given point on the line,. and There is one and only line parallel to given line through a given point not on the line.
What is the perpendicular postulate?
The perpendicular postulate states that if there is a line, as well as a point that is not on the line, then there is exactly one line through the point that is perpendicular to the given line.
In hyperbolic geometry how many lines are there parallel to a given line through a given point?
infinitely many
How you would write the equation of a line given a point on the line and a parallel line?
y = 3x+5 is parallel to y = 3x+7
What test is used to determine if a graph is a function?
Horizontal line test is used for the determination of a function,if the horizontal line passes through one point of the given graph then it is a function and if it passes through more than one point then it will not a function. * * * * * No! It is a vertical line test. Consider the graph of y = sin(x): a horizontal line line will cross it twice in every 360 degrees! Convince me that y = sin(x) is not a function.
What is needed to determine a line?
Two points determine a line. Also there is one and only line perpendicular to given line through a given point on the line,. and There is one and only line parallel to given line through a given point not on the line.
Equation of a line and a point using substitution to determine whether the point is on the line y equals 5x plus 3 A18?
Yes its on the line.
is this statement true or falseThe steps for constructing a line perpendicular to a given line through point P are the same whether P lies on the line or not.?
false
How do you determine whether a graph a mathematical relationship is a function?
Draw a vertical line if the line hits more than one point on the graph then it is not a function.
How do you determine if a certain point lies on a given line by just having the coordinates for the point and the equation of the line?
Substitute the x coordinate into the equation for x and calculate y. If the formla gives the same y value as the coordinates, the point is on the line. If it is diffent, it is not on the line.
In Euclidean geometry if there is a line and a point not on the line then there is exactly one line through the point and the parallel to the given line. True or false?
True. In Euclidean geometry, if there is a line and a point not on that line, there exists exactly one line that can be drawn through the point that is parallel to the given line. This is known as the Parallel Postulate, which states that for a given line and a point not on it, there is one and only one line parallel to the given line that passes through the point.
How do you determine if a point lies on the same line?
A point lies on a line if the coordinates of the point satisfy the equation of the line.
What constructions can be accomplished with paper folding?
Finding the midpoint of a segment Drawing a perpendicular line segment from a given point to a given segment Drawing a perpendicular line segment through a given point on a given segment Drawing a line through a given point parallel to a given line
What constructions can be accomplished paper folding?
Finding the midpoint of a segment Drawing a perpendicular line segment from a given point to a given segment Drawing a perpendicular line segment through a given point on a given segment Drawing a line through a given point parallel to a given line
What constructions can be accomplishments with paper-folding?
Finding the midpoint of a segment Drawing a perpendicular line segment from a given point to a given segment Drawing a perpendicular line segment through a given point on a given segment Drawing a line through a given point parallel to a given line
What is the shortest path between a line and a point not on that line?
The shortest path is a line perpendicular to the given line that passes through the given point.
The horizontal line test is used to determine whether a function is?
The horizontal line test is used to determine whether a function is one-to-one and if it had a inverse.
