NO LINKS!!!!Similarity Flow Chart Proofs Part 5
1 answer:
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)
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
The triangles have three congruent pairs of sides (3, 4 and 5 units) so are congruent by SSS (or HL)
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Answer:
≈ 18.8 cm
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
The central angle is equal to the arc subtending it, that is 60°
arc = 2πr ×
= 2π × 18 ×
= 36π ×
= 6π ≈ 18.8 cm ( to 1 dec. place )