3. write a similarity statement for the picture. (1 point)
example: ∆rst ~ ∆xyz

4. which similarity postulate or theorem proves the triangles are similar? (1 point)

5. what are the congruent angles and/or proportional segments that justify the answer in number 4?

By the given figure,

In triangles ABC and CDE

m ∠ABC = m∠CDE = 90°

⇒ ∠ABC ≅ ∠CDE

Also, BC ║ DE ( given )

By the corresponding angles theorem,

∠ACB ≅ ∠CED

Thus, by AA similarity postulate,

,

By the similarity,

3. ,

4. AA similarity postulate,

5. Congruent angles are,

∠ABC ≅ ∠CDE,

∠ACB ≅ ∠CED

after simplifying it i got: -36.25 as my answer. hope that !