SOLUTION: find cd and ef then determine if cd is congruent to ef d is (-2,4) c is (-5,0) e is (2,2) f is (5,-2

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Question 356942: find cd and ef then determine if cd is congruent to ef
d is (-2,4)
c is (-5,0)
e is (2,2)
f is (5,-2
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
First, we need to find the length of cd. So we need to find the distance between (-5,0) and (-2,4).


Note: is the first point . So this means that and .
Also, is the second point . So this means that and .


Start with the distance formula.


Plug in , , , and .


Subtract from to get .


Subtract from to get .


Square to get .


Square to get .


Add to to get .


Take the square root of to get .


So our answer is


So the distance between the two points is 5 units.


So the length of cd is 5 units.


-------------------------------------

Now we need to find the length of ef. So we need to find the distance between the points (2,2) and (5,-2)


Note: is the first point . So this means that and .
Also, is the second point . So this means that and .


Start with the distance formula.


Plug in , , , and .


Subtract from to get .


Subtract from to get .


Square to get .


Square to get .


Add to to get .


Take the square root of to get .


So our answer is


So the distance between the two points is also 5 units.


So the length of ef is also 5 units.


This means that cd and ef are congruent (since they are the same length).


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
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