Answer:
1) These two triangles are not similar.
2) CBA ~ FGH (Similar)
3) The triangles are not similar.
4) JKL ~ TUV (Similar)
5) The pair is not similar.
6) The triangles are not similar.
Step-by-step explanation:
1) [tex]\frac{UT}{DU} \neq \frac{SU}{EU} \ as \ \frac{40}{16} \neq \frac{39}{16} > \frac{5}{2} \neq \frac{39}{16}[/tex]
Therefore the pair is not similar.
2) [tex]\frac{AB}{HG} =\frac{BC}{FG} =\frac{AC}{HF} > \frac{72}{12} =\frac{84}{14} =\frac{48}{8} = 6[/tex]
As you can see the corresponding sides are in the same ratio thus by the SSS method. Side - Side - Side. They are similar.
3) [tex]\frac{MV}{UV} \neq \frac{LV}{TV} \ because \ \frac{14}{28} \neq \frac{8}{49} >\frac{1}{2} \neq \frac{8}{49}[/tex]
Therefore the pair are not similar.
4) VUT = LKJ, VTU = LJK so we want to use AA or Angle - Angle for this criteria and by this criteria we have JKL ~ TUV.
5) Only one angle of the two triangles are equal therefore they are not similar.
6) [tex]\frac{KC}{KM} \neq \frac{KB}{KL} \ as \ \frac{25}{25 + 107} \neq \frac{16}{88} > \frac{25}{132} \neq \frac{16}{88}[/tex]
Therefore these triangles are not similar.
