Question

IΔcde was translated down and right to form triangle Δc²d²e². triangle c e c is translated down and to the right to form triangle c prime d prime e prime. which statements are true? check all that apply.

1) de ≅ d²e²
2) ec ≅ e²c²
3) ed ≅ d²c²
4) c²d² ≅ d²e²
5) d²c² ≅ dc
6) Δcde ≅ Δc²d²e²

Answer 1

The true statements are: de ≅ d²e² and d²c² ≅ dc.

Step-by-step explanation:

To determine which statements are true, let's consider each option one by one:

1. de ≅ d²e²: This statement is true because de and d²e² represent the same line segment.
2. ec ≅ e²c²: This statement is false because ec and e²c² do not represent the same line segment.
3. ed ≅ d²c²: This statement is false because ed and d²c² do not represent the same line segment.
4. c²d² ≅ d²e²: This statement is false because c²d² and d²e² do not represent the same triangle.
5. d²c² ≅ dc: This statement is true because d²c² and dc represent the same line segment.
6. Δcde ≅ Δc²d²e²: This statement is false because Δcde and Δc²d²e² do not represent the same triangle.

Therefore, the true statements are:
1) de ≅ d²e²
5) d²c² ≅ dc