Unit 8 Lesson 2: Dilations of Segments Flashcards
center of dilation
a fixed point in a plane about which all points are enlarged or reduced
parallel lines
a pair of lines that never intersect and have the same slope
dilation
a transformation technique that is used to make figures either larger or smaller in size, without changing or distorting the shape
reduction
the act of making something smaller than its original size
enlargement
the act of making something bigger than its original size
scale factor
a number representing the ratio between the dimension of an object and the dimension of a dilation of that object
slope
the measure of the steepness of a line
When an original figure, called a preimage, is enlarged or reduced, the new object or image is
a dilation.
In anatomy, the pupils of the eyes dilate. When someone enters a dark room, their pupils get larger to let in as much light as possible so that they can see better in the dark. This dilation is called an
enlargement
When you exit a movie theater into bright sunshine, your pupils get smaller because it is very bright outside already, and they do not need to let as much light in to see. This type of dilation is called a
reduction.
a dilation that does not go through the center of dilation creates
parallel lines
a dilation that does pass through the center of dilation is on the
original line of the object.
Name the type of dilation that occurs when the scale factor is 3/2
.
The fraction 3/2
is greater than 1, so the dilation is an enlargement.
Whay are the proporties of dialate line segments
dilated line segments have lengths that are proportional to the original line segments at the same ratio as the scale factor, which indicates how much an image will be reduced or enlarged.
Once you know the length of the original line segment, whats the next step
Once you know the length of the original line segment, you must use the endpoints of the dilated line segment to calculate the length of the dilation.
