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crimeas [40]
3 years ago
6

Determine whether the triangles are similar. If so, write a similarity statement.

Mathematics
2 answers:
quester [9]3 years ago
8 0

9514 1404 393

Answer:

  ΔDEF ~ ΔHEJ

Step-by-step explanation:

The vertical angles at E are congruent, and the marked angles at F and J are congruent. The two triangles are similar by the AA postulate.

The given portion of the similarity statement names the angles in the order "unspecified", "vertical", and "50°". If we name those angles in the same order in the other triangle, the similarity statement becomes ...

  ΔDEF ~ ΔHEJ

goldenfox [79]3 years ago
5 0

Answer:

\triangle FED\sim \triangle JEH

Step-by-step explanation:

Both pairs of vertical angles formed at point E are equal. Therefore, the two triangles share two angles. If two triangles share two angles, they must also share the third angle, since the sum of the interior angles of a triangle add up to 180 degrees. Therefore, all three angles of the two triangles are equal, which is a proof of similarity. \implies \boxed{\triangle FED\sim \triangle JEH}

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