Question

triangles a, b, c, and d are all congruent.
a. describe a sequence of transformations that you can perform on △b to show that △b = △d.
b. describe a sequence of transformations that you can perform on △a to show that △a = △c.
c. describe a sequence of transformations that you can perform on △c to show that △c = △d.
d. use your answers to problems 3b and 3c to describe a four - step sequence of transformations that you can perform on △a to show that △a = △d.
describe a sequence of two transformations that you can perform on △a

Explanation:

with $\triangle D$.
b. Translate and then reflect $\triangle A$ to align with $\triangle C$.
c. Translate and then rotate $\triangle C$ to align with $\triangle D$.
d. First, translate and reflect $\triangle A$ to get it to the position of $\triangle C$, then translate and rotate the resulting triangle to get it to the position of $\triangle D$.

Answer:

with $\triangle D$.
b. Translate and then reflect $\triangle A$ to align with $\triangle C$.
c. Translate and then rotate $\triangle C$ to align with $\triangle D$.
d. First, translate and reflect $\triangle A$ to get it to the position of $\triangle C$, then translate and rotate the resulting triangle to get it to the position of $\triangle D$.