Question

triangle congruence mixed practice - test review
directions: label the diagrams and show work or reasoning when required. use the triangle congruence
postulates (sss, sas, asa, aas, hl) where applicable.
part i: determine if the triangles are congruent by sss, sas, asa, aas, or hl.

1. △abc has sides ab = 5, bc = 7, and ac = 9. △def has sides de = 5, ef = 7, and df = 9. are the triangles

congruent? justify.
(yes or no) (are or are not) (sss, sas, asa, aas, hl, not ≅)
_ the triangles _ congruent because of the ___ postulate.

Explanation:

Step1: Comprobar los lados de los triángulos

Dado que \(AB = DE = 5\), \(BC=EF = 7\) y \(AC = DF=9\).

Step2: Aplicar el postulado SSS

Si los tres lados de un triángulo son iguales a los tres lados de otro triángulo, entonces los triángulos son congruentes por el postulado SSS (Lado - Lado - Lado).

Answer:

Yes, the triangles are congruent because of the SSS postulate.