Answer:
Explanation:
To show that triangles ABC and AED are similar, we can use two different sequences of transformations. Given that the length of AC is 6 units, here are two possible sequences:
Sequence 1:
1. Translation: Move triangle ABC so that point A coincides with point A' on triangle AED.
2. Dilation: Enlarge or reduce triangle ABC uniformly, keeping A' fixed as the center of dilation. Scale factor should be chosen such that the length of AC in triangle ABC becomes the same as the length of A'C in triangle AED (which is 6 units).
Sequence 2:
1. Rotation: Rotate triangle ABC about point A by a certain angle to obtain triangle A'B'C'.
2. Dilation: Enlarge or reduce triangle A'B'C' uniformly, keeping point A' fixed as the center of dilation. Scale factor should be chosen such that the length of A'C' in triangle A'B'C' becomes the same as the length of AC in triangle AED (which is 6 units).
Both sequences involve a combination of translation, rotation, and dilation. The specific angles, scale factors, and directions of movements will vary depending on the given information and the desired outcome. It's important to choose appropriate transformations that preserve the shape and proportions of the triangles. By performing these sequences of transformations, we can demonstrate that triangles ABC and AED are similar.