Defining Similarity
When a figure is dilated, the pre-image and image are similar.
Let's explore what it means for two figures to be similar.
Use the tools in Geogebra to dilate Triangle ABC about Point D by a scale factor of 2.
First, let's explore the angle measures of the triangles. Measure the angles in each of the triangles.
What do you notice?
Now, let's explore the lengths of the sides of the trianlges.
Calculate the length of AB and A'B'.
Calculate the length of BC and B'C'.
Calculate the length of AC and A'C'.
What do you notice?