Reflections
Reflection of triangle ABC over Line DE.
Construct segments AA', BB', and CC'. What is the relationship between those segments and line DE?
Line DE is a perpendicular bisector of AA', BB', and CC'.
Is a reflection considered to be a rigid transformation?
Yes, all measurements are preserved.
If a point is reflected across the y-axis, how does the ordered pair change?
The x-coordinate becomes the opposite of what it was and the y-coordinate stays the same.
If a point is reflected across the x-axis, how does the ordered pair change?
The x-coordinate stays the same and the y-coordinate becomes the opposite of what it was.
If a point is reflected across the line y=x, how does the ordered pair change?
The x and y coordinates switch.
What is the definition of a line of symmetry?
It basically means the line of symmetry cuts the figure in half. The two halves will map onto each other by a reflection in the line of symmetry.
glide reflection
Reflect triangle ABC over the lines x=1 and y=-2.
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Information: Reflections