Copy of AA Similarity Postulate
These triangles were constructed so that only the two pairs of angles are congruent. Then the side lengths were measured.
You can change the shapes of the triangles by using the sliders to change the angle measures or by dragging the vertices of a triangle. No matter how you change the triangles, the two pairs of angles always remain congruent.
Now click on the button "Show Ratios" and continue to change the shape of the triangles. What do you notice? Are the two triangles similar to each other?