Mathematics
Grade-8
Easy

Question

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

  1. AA
  2. SSS
  3. SAS
  4. no similar

The correct answer is: AA


    The triangles are similar by AA.
    ∠ A = 29°
    i n space increment A N F
angle A plus angle N plus angle F equals 180 degree left parenthesis i n t e r i o r space a n g l e space s u m space p r o p e r t y right parenthesis
angle F equals 45 degree
i n space increment E H S
angle E plus angle H plus angle S space equals 180 degree left parenthesis i n t e r i o r space a n g l e space s u m space p r o p e r t y right parenthesis
angle E equals 106 degree
B y space c o m p a r i s i o n space w e space c a n space s e e space b o t h space t r i a n g l e space h a v e space a l l space a n g l e s space a r e space c o n g r u e n t
B y space A A space s i m i l a r i t y space t r i a n g l e s space a r e space s i m i l a r
    ∠ S = 29°

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