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Determine if triangle GHI and triangle JKL are or are not similar, and, if they are, state how you know. (Note that figures are
NOT necessarily drawn to scale.)

Question Watch Video Show Examples Determine if triangle GHI and triangle JKL are or are not similar and if they are state how you know Note that figures are NO class=

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Answer:

ΔGHI is similar to ΔJKL by AA similarity.  

Step-by-step explanation:

Corresponding angles of similar triangles are equal to each other and their corresponding sides in proportion.

Rules of similar triangles:

  • AA similarity: Two pairs of corresponding angles are equal.
  • SSS similarity: All the three pairs of corresponding sides are proportional.
  • SAS similarity: Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.

In the given triangles GHI and JKL,

      ∠G = ∠J = 34°

      ∠I = ∠L = 49°

ΔGHI is similar to ΔJKL by AA similarity.  

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