If so, state how you know they are similar and complete the similarity statement. (Last questions I need help with)
triangle BCD is similar to triangle KJL because of SSS similarity.
triangle FGH is not similar to triangle SRQ.
triangle CDE is not similar to triangle MLC.
triangle LMN is not similar to triangle FEG.
First one top left....we can check these ratios
9/54 = 10/60 = 12/72 = 1/6 Similar due to SSS proportionality
So ΔBCD is similar to ΔJKL
Top right
Check these ratios
60/156 = 65 /169
5/13 = 5/13 Similar due to SAS proportionality
So ΔFGH is similar to ΔSRQ
Bottom left
Check these ratios
40/96 = 65/156 = 70/168
5/12 = 5/12 = 5/12 Similar due to SSS proportionality
So ΔCDE is similar to ΔCML
Bottom right
Not similar - no angles match
Look at this
Angle B is opposite the longest side Angle J is opposite the longest side
Angle C is oppositie the mid-length side Angle K is opposite the mid-length side
Angle D is opposite the shortest sde Angle L is opposite the shortest side
So
ΔBCD is similar to ΔJKL