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avatar+122 

https://image.prntscr.com/image/2CfTpJgDRH639tqNuHxpQg.png part one

 

https://image.prntscr.com/image/ekkO73wWQtK2PrSsFuRRuA.png part two

 

https://image.prntscr.com/image/LxFBRHQPQ5GglmKxv50O-g.png

 Jan 23, 2018
 #1
avatar+128474 
+2

First one

 

2. Corresponding Angles

3.  Triangle JKL  similar to Triangle JMN            AA similarity

4.  Corresponding Parts of Similar Triangles form equal ratios

5. Segment Addition  Postulate

6. Substitution

9. Subtracion Property of Equality

 

 

Second one

They are similar by AA  congruency

 

The areas  are in ratio     PQ^2 / AB^2  =    (4k)^2 / 4^2  =  16k^2 / 16  =  k^2

 

 

cool cool cool

 Jan 23, 2018
 #2
avatar+122 
+1

Thank you so much!

Severoth  Jan 23, 2018

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