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 D
E = 8. Are Triangle ABC and Triangle DEF similar? If so, identify the similarity postulate or theorem that applies.
2 answers:
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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