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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...
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.
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
When the slope of a line is indefinite?
The slope of a line is undefined if the line is vertical.
Given a line with a slope of 1 7 what is the slope of any line that lies perpendicular to it?
The slope of a line perpendicular to one with slope m is -1/m. So for a line with slope 1/7, any line perpendicular to it will have: slope = -1 / (1/7) = -7
