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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
avatar+112 
+1

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
avatar+86528 
+3

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

 

 

 

cool cool cool

CPhill  Feb 19, 2018
 #3
avatar+1164 
0

Thank you! ^-^

RainbowPanda  Feb 19, 2018
 #4
avatar+1164 
0

I think you got some of the triangles wrong. Shouldn't BCD~KJL?

RainbowPanda  Feb 19, 2018
 #5
avatar+1164 
0

Also, shouldn't CDE~MCL

RainbowPanda  Feb 19, 2018
 #6
avatar+86528 
+1

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

 

 

cool cool cool

CPhill  Feb 19, 2018
 #7
avatar+86528 
+1

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

 

 

cool cool cool

CPhill  Feb 19, 2018
 #8
avatar+1164 
+1

Ohhh I see, I'm sorry >.<

RainbowPanda  Feb 19, 2018

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