If you used the rule (1/2x,1/2y)to to transform the original figure,how would the angles and sidelengths compare.
To determine how the angles and side lengths of a figure change when using a transformation rule like (1/2x, 1/2y), follow these steps to understand the process:
1. Understand the transformation rule: The given rule (1/2x, 1/2y) indicates that each coordinate of the original figure will be multiplied by 1/2 to determine the new coordinate. The x-coordinate is halved and the y-coordinate is also halved.
2. Identify the original figure: First, you need to have the original figure, which can be any shape or polygon. Let's assume you have a rectangle as the original figure.
3. Determine the original angles: Measure the original angles of the rectangle using a protractor. For example, let's take the angles of the rectangle to be 90 degrees each.
4. Analyze the transformation: Apply the given transformation rule to each coordinate of the rectangle to determine the new coordinates. After applying the (1/2x, 1/2y) rule, the coordinates of the transformed figure will be half the values of the original figure.
5. Calculate the transformed angles: With the new coordinates, measure the angles of the transformed figure using a protractor. In this case, after transforming the rectangle, each angle will still measure 90 degrees because the angles of a rectangle are congruent.
6. Compare the side lengths: Measure the side lengths of the original rectangle and compare them to the side lengths of the transformed figure. You will find that each side length of the transformed figure is half the length of the corresponding side length in the original figure.
In summary, when applying the transformation rule (1/2x, 1/2y) to a figure, the angles of the transformed figure will remain the same as the original figure, while the side lengths will be halved.