Find the dilation that maps a given figure to another (basic)

The  exercise appears under the Geometry Math Mission. This exercise practices finding the scale factor or the center of a dilation that maps a given figure into another and mapping lines into a different parallel line using dilations.

Types of Problems
There is one type of problem in this exercise:


 * 1) Dilate the lines: This problem provides a coordinate grid and a dilation problem with line segments. The student is expected to find the dilation that can be used to dilate the line segments to the other line segments. Find the dilation that maps a given figure to another (basic).PNG
 * 2) Dilate the figure: This problem provides a coordinate grid and a dilation problem with a figure. The student is expected to find the dilation that can be used to dilate the given figure to the other figure so they match. Find the dilation that maps a given figure to another (basic)2.PNG

Strategies
Knowledge of the coordinate plane and geometric transformations, particularly dilations, are encouraged to ensure success on this exercise.
 * 1) A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
 * 2) A dilation stretches or shrinks the distance between each point in a plane and the center of dilation according to a common scale factor (as a result, the side lengths of figures also stretch or shrink according to that factor).
 * 3) To find the scale factor, students need to compare the distance from the center to the vertices in the new figure (which is called the image) with the distance from the center to the vertices in the original figure.

Real-life Applications

 * 1) In crime shows, investigators use computers to dilate photographs, and the larger pictures yield information about license plates, addresses, or criminals.