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What does a line reflection not preserve?
A reflection in a line l is a correspondence that pairs each point in the plane and not on the linewith point P' such that l is the perpendicular bisector of segment PP'. IF P is on l then P is paired with itself ... Under a reflection the image is laterally inverted. Thus reflection does NOT preserve orientation...
When is the inverse of a itself a function?
Since the inverse of a function is it's reflection over the line x=y, which has a slope of 1. The only way a function can be It'a own inverse is if it is a liner function whose slope is perpendicular to the line. Since a perpendicular line is any line with the negative recoprocal of the slope, any linear function whose slope is -1 will be it's own inverse. - stefanie math 7-12 teacher
What is the slope of a line that lies perpendicular to a line with a slope of 1 5?
The line perpendicular to a line with a slope of 1/5 has a slope of -5.
What is a reflection in geometry?
Reflection of an object is the flip of that subject on a particular line, that is called line of reflection.
When the slope of a line is indefinite?
The slope of a line is undefined if the line is vertical.
What does a line reflection not preserve?
A reflection in a line l is a correspondence that pairs each point in the plane and not on the linewith point P' such that l is the perpendicular bisector of segment PP'. IF P is on l then P is paired with itself ... Under a reflection the image is laterally inverted. Thus reflection does NOT preserve orientation...
What are properties of reflections m?
Reflections in mathematics preserve the size and shape of the object being reflected. They also have the property that the reflected image is the same distance from the line of reflection as the original object. Additionally, reflections can be described by an axis of reflection, which serves as a line that the reflection occurs across.
When is the inverse of a itself a function?
Since the inverse of a function is it's reflection over the line x=y, which has a slope of 1. The only way a function can be It'a own inverse is if it is a liner function whose slope is perpendicular to the line. Since a perpendicular line is any line with the negative recoprocal of the slope, any linear function whose slope is -1 will be it's own inverse. - stefanie math 7-12 teacher
What is the difference between a line with a slope of zero and no slope?
A line with slope of zero is horizontal. A line with no slope is vertical because slope is undefined on a vertical line.
What is the slope of a line perpendicular to a line whose slope is 3?
Slope of a line = m slope of perpendicular line = -1/m
What is the slope of a line that lies perpendicular to a line with a slope of 1 5?
The line perpendicular to a line with a slope of 1/5 has a slope of -5.
What do you need to use the point slope formula?
The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.
What is the slope of a line that is perpendicular?
If the line has a slope of 2, then the perpendicular line has a slope of -1/2. The slope of a perpendicular line is the negative reciprocal. Another example would be if the slope of a line is -1/4, then the slope of the perpendicular is 4.
If the slope of the green line is -3 what is the slope of the red line?
The lines below are perpendicular. If the slope of the green line is -1, what is the slope of the red line?
The slope of a line is 2 3 what is the slope of a line that is parallel to it?
if the slope of a line is 2/3, then the slope of a parallel line would be 2/3.
If the slope of a line is 13 what is the slope of a line parallel to it?
Parallel lines have the same slope. The slope of the second line is also 13.
A horizontal line has an undefined slope?
No, the slope of a horizontal line is 0. The slope of a vertical line is undefined.
