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# State if the triangles in each pair are similar.

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If so, state how you know they are similar and complete the similarity statement. (Last questions I need help with)

RainbowPanda  Feb 19, 2018
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### 8+0 Answers

#1
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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.

MIRB14  Feb 19, 2018
#2
+84389
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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

CPhill  Feb 19, 2018
#3
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Thank you! ^-^

RainbowPanda  Feb 19, 2018
#4
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I think you got some of the triangles wrong. Shouldn't BCD~KJL?

RainbowPanda  Feb 19, 2018
#5
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Also, shouldn't CDE~MCL

RainbowPanda  Feb 19, 2018
#6
+84389
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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

CPhill  Feb 19, 2018
#7
+84389
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And

Angle C is opposite the longest side           Angle  C is opposite the longest side

Angle D is opposite the intermediate side   Angle  M is opposite the intermediate side

Angle E is opposite the shortest side         Angle L is oposite the shortest side

So  Δ CDE  is similar to Δ CML

CPhill  Feb 19, 2018
#8
+639
+1

Ohhh I see, I'm sorry >.<

RainbowPanda  Feb 19, 2018

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