QUESTION IMAGE
Question
consider the incomplete paragraph proof
given p is a point on the perpendicular bisector, i, of
mn
prove pm = pn
because of the unique line postulate, we can draw,
unique line segment pm using the definition of
reflection, pm can be reflected over line / by the
definition of reflection, point p is the image of itself and
point n is the image of _ because reflections
preserve length, pm = pn
point m
point q
segment pm
segment qm
When reflecting a point over a perpendicular bisector, the reflection of one endpoint (M) of the segment (MN) over the perpendicular bisector (l) is the other endpoint (N). Since we are reflecting over the perpendicular bisector of MN, and using the properties of reflection (which map a point to its mirror - image across the line of reflection), when we reflect PM over line l (the perpendicular bisector of MN), point M is mapped to point N. So, point N is the image of point M.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
A. point M