What transformation maps a figure onto another if they do not have the same size?
Example Transformation Sequence: Translation followed by rotation and dilation Missing Side Lengths: y=4.5 and x=3
Practice makes perfect
We are given two similar polygons and want to determine the transformations that map one figure onto the other. Then we want to find the missing side length.
We will do these things one at a time.
Transformations
Since the figures are similar, they have the same shape but they do not have the same size. Let's determine what transformations map one onto the other.
Because the figures are similar, the ratio of the corresponding side measures is constant. Therefore, to find the missing side measure we will set up a proportion. Let's start with the missing side y.
6/3=9/y
To solve the equation! Our first step in solving is to remove the denominators from both sides of the equation using the Multiplication Property of Equality.
Next, we will find the missing side x. To do it, we will set up a proportion.
6/3=6/x
To solve the equation! Our first step in solving is to remove the denominators from both sides of the equation using the Multiplication Property of Equality.
