Are the triangles similar? If yes, write a similarity statement and explain how you know they are similar.

arenceabigns

arenceabigns

Answered question

2021-08-04

Are the triangles similar? If yes, write a similarity statement and explain how you know they are similar.

Answer & Explanation

doplovif

doplovif

Skilled2021-08-05Added 71 answers

Use AAA similarity for check whether the triangles FHG  and  HKJ are similar or not. 
By applying the vertical angles theorem, the vertical angles FHG  and  JHK are congruent. 
That is, FHG=JHK
GF and KJ are parallel. 
Therefore, by the alternate interior angles theorem, the alternate interior angles are congruent. 
That is, GFH=HKJ 
HGF=KJH 
By AAA similarity, FHG  and  HKJ are similar triangles.

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