Answer:
Step-by-step explanation:
#10
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)
#11
ABC and DCB are right triangles but corresponding sides have different ratio
So triangles are not similar
#12
According to Pythagorean the missing hypotenuse is
- [tex]\sqrt{3^2+4^2}=\sqrt{25} =5[/tex]
The triangles have three congruent pairs of sides (3, 4 and 5 units) so are congruent by SSS (or HL)
