ABCD and EFGH are similar quadrilaterals. You can change the shape of ABCD by dragging the points and you can change the size of EFGH with the size slider.
Play with the applet above, then answer the following questions.
You already know that these quadrilaterals are similar. What do you notice about the corresponding angles of these similar figures?
Corresponding angles of similar figures are always congruent.
Is it possible for the corresponding sides of these similar figures to be congruent? Are they always congruent? What do you notice about the ratios of corresponding side lengths between the similar figures?
The ratios of lengths of corresponding sides in similar figures are always consistent.