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Determine if the two triangles pictured below are similar (HINT. If they are similar, explain how/whry by using AND showing all necessary details as discussed in your notes digital notebook for Lesson 2.07. This means I should see all proper math

notation and symbols being used in your explanation) (10 Points)

Determine if the two triangles pictured below are similar (HINT. If they are similar-example-1
User Sam Oliver
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2 Answers

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Answer:

ΔCAB~ΔFDE (translated as "triangle CAB is similar to triangle FDE)

Explanation:

One way to prove triangle similarity is by the AA (Angle-Angle) postulate, which means that two interior angles of one triangle are Congruent to two interior angles in another triangle. Since both triangles are Right triangles, they both have right angles in them. And using the Triangle Sum theorem (the sum of the measures of all three interior angles of a triangle is 180°), we can determine that m∠A=55°, making ∠A≅∠D.

In a nutshell, since ∠C≅∠F and ∠A≅∠D, ΔCAB~ΔFDE by AA.

User Joslarson
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0 votes

Answer:

The two triangles are similar. Angle-angle-angle theorem.

Explanation:

180-90-35= 55 degrees

User Stiefel
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