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Leon drew Triangle ABC and Triangle DEF so that Angle A is congruent to Angle D, Andgle B is Congruent to Angle E, AB = 4, and DE = 8. Are Triangle ABC and Triangle DEF similar? If so, identify the similarity postulate or theorem that applies.

Leon drew Triangle ABC and Triangle DEF so that Angle A is congruent to Angle D Andgle B is Congruent to Angle E AB 4 and DE 8 Are Triangle ABC and Triangle DEF class=

Respuesta :

it is similar AA just took it 

Answer:

The correct option is D

Step-by-step explanation:

Given triangle ABC and triangle DEF so that ∠A≅∠D, ∠B≅∠E, AB = 4, and DE = 8. we have to tell the similarity theorem or postulate that applies to prove above triangles congruent.

In ΔABC and ΔDEF

∠A=∠D    (Given)

∠B=∠E     (given)

Two angles are congruent

Hence, by AA similarity postulate which states that if the two corresponding angles of two triangles are congruent they are similar i.e ΔABC~ΔDEF

Hence, The correct option is D

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