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Likurg_2 [28]
2 years ago
11

NO LINKS!!!!Similarity Flow Chart Proofs Part 5​

Mathematics
1 answer:
Inessa05 [86]2 years ago
8 0

Answer:

  • See below

Step-by-step explanation:

<h3>#10</h3>

According to diagram we have

  • TU ║ WV and TV is transversal
  • ∠T ≅ ∠V as alternate interior angles
  • TX ≅ VX
  • ∠TXU ≅ ∠WXV as vertical angles

Conclusion

  • ΔTXU ≅ ΔWXV by ASA (angle-side-angle)
<h3>#11</h3>

ABC and DCB are right triangles but corresponding sides have different ratio

  • 5/5 ≠ 13/12

So triangles are not similar

<h3>#12</h3>

According to Pythagorean the missing hypotenuse is

  • \sqrt{3^2+4^2}=\sqrt{25} =5

The triangles have three congruent pairs of sides (3, 4 and 5 units) so are congruent by SSS (or HL)

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