nerdyotter
  • nerdyotter
a) Why is triangle OBG similar to triangle OTE?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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nerdyotter
  • nerdyotter
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DanJS
  • DanJS
They will be similar when the corresponding sides of the triangles are in equal proportions...
DanJS
  • DanJS
\[\frac{ OB }{ OT }=\frac{ OG }{ OE } = \frac{ BG }{ TE }\]

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DanJS
  • DanJS
Length of smaller triangle over big triangle length is always the same fraction
mathstudent55
  • mathstudent55
Segments BG and TE are shown to be parallel. That makes angle OBG and OTE congruent, and also angles OGB and OET congruent (by corresponding angles of parallel lines and a transversal). Since you have two triangles with two pairs of corresponding congruent angles, by AA Similarity, the triangles are similar.

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