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ivolga24 [154]
4 years ago
13

8, -, 26, -, 44, -, -, 71

Mathematics
1 answer:
Georgia [21]4 years ago
3 0
8,17,26,35,44,53,62,71
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50 Points: Name the similar triangles & Prove the similarity with details
Leno4ka [110]

<u>Let's consider the facts at hand</u>:

  • By Vertical Angle Theorem ⇒ ∠BCE = ∠DCF
  • ∠BEC = ∠DFC
  • Sides BE = DF

<u>Based on the diagram, triangles BCE and triangles DCF are similar</u>

   ⇒ based on the Angle-Angle theorem

      ⇒ since ∠BCE = ∠DCF and ∠BEC = ∠DFC

         ⇒ the two triangles are similar

Hope that helps!

<em>Definitions of Theorem I used:</em>

  • <u><em>Vertical Angle Theorem: </em></u><em>opposite angles of two intersecting lines must be equal</em>
  • <u><em>Angle-Angle Theorem:</em></u><em> if two angles of both triangles are equal, then the given triangles must be similar</em>

<em />

     

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