Invariant:
-A figure or property that remains unchanged under a transformation of the plane is referred to as invariant.
Reflecting over the
x-axis: (the x-axis as the line of reflection) |
|
Hint:
If you forget the rules for reflections when graphing, simply fold your graph paper along the
line of reflection (in this example the
x-axis) to see
where your new figure will be located. Or you can measure how
far your points are away from the line of reflection to locate your new
image. Such processes will allow you to see what is happening to the
coordinates and help you remember the rule.
|
PROBLEM: Draw the dilation image of rectangle EFGH with the center of dilation at point E and a scale factor of 1/2. OBSERVE: Point E and its image are the same. It is important to observe the distance from the center of the dilation, E, to the other points of the figure. Notice EF = 6 and E'F' = 3. HINT: Be sure to measure distances for this problem. |