Reflecting a point about a line

Construction
1) Create a point A.[br]2) Reflect point A about the x-axis [br]3) Label the reflection point A' (right click on the point and choose '[b]Rename[/b]').[br]Next...[br]4) Create a point B at (1,2) and change the color of the point to red under the style bar[br]5) Reflect point B about the line y=x and change the color of the point to red under the style bar.[br]6) Label the reflection point B' (right click on the point and choose '[b]Rename[/b]').[br]Finally...[br]7) Create a point C on the line y=x and change the points color.
Reflection about lines
Question 1
What is the coordinate for A'?
Question 2
What is the coordinate for B'?
Question 3
What do you notice about the distance from point B to the line of reflection and the distance from point B' to the line of reflection?[br][br]Do you think this observation holds true for all reflections of a point?
Question 4
What happens if you reflect point C about the line it is on?
8[sup]th[/sup] grade Geometry:Understand congruence and similarity using physical models,[br]transparencies, or geometry software.[url=http://www.corestandards.org/Math/Content/8/G/A/1/]CCSS.MATH.CONTENT.8.G.A.1[/url][br]Verify experimentally the properties of rotations, reflections, and[br]translations
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Information: Reflecting a point about a line