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1. ZFAB = ZGED (Given) 2. ZBAC is the supp.of ZFAB; LDEC is the supp of ZGED (Def. of Supp- LS) 3 . ZBAC = LDEC 2 Supp. Thm ) 4 ZACB = LDCE (Verl. Ls Thm) 5. Cis th...

Question

1. ZFAB = ZGED (Given) 2. ZBAC is the supp.of ZFAB; LDEC is the supp of ZGED (Def. of Supp- LS) 3 . ZBAC = LDEC 2 Supp. Thm ) 4 ZACB = LDCE (Verl. Ls Thm) 5. Cis the midpoint of AE (Given) 6. AC = EC (Def: of mdpl,) ABC 24 EDC (by ASA Steps 3,6,4)

1. ZFAB = ZGED (Given) 2. ZBAC is the supp.of ZFAB; LDEC is the supp of ZGED (Def. of Supp- LS) 3 . ZBAC = LDEC 2 Supp. Thm ) 4 ZACB = LDCE (Verl. Ls Thm) 5. Cis the midpoint of AE (Given) 6. AC = EC (Def: of mdpl,) ABC 24 EDC (by ASA Steps 3,6,4)



Answers

Multi-Step $E$ is the midpoint of $\overline{D F}, D E=2 x+4,$ and $E F=3 x-1$ Find $D E, E F,$ and $D F$

And this problem e is the midpoint of DF. So you have d and we have f and he is in the exact middle. So makes these parts of people we know that d e is to express for We know that e f is three x minus one. We need to find d e e f and DEA. So we know these two parts are congruent because of these dash marks and ease of a point so I can set the Mikel to each other. So I have three x minus one is equal to two x plus four going to subtract two x from both sides, so I'll have X minus one equals four. Add one double sides and X equals five. So no, I complexion, except figure out what all these values are. So for e f this three times five minus one 15 minus one is 14 for D E. Well, D E has the same measure as e F. But if you wanted to calculate it in there, you can you'll see that I get the exact same answer is 14 now, since I know that both of these air 14 and 14 then altogether DF past equal 28. So this is 28. The FBIS 14 and D E is 14 as well.

So to find the midpoint, we're gonna add our expertise together. Negative two plus two and then divide by two. And our why values will add those together zero and four and divide by two as well. Negative two plus 20 is your out of out of it, too is zero zero plus forced Ford Ford of a virtuous two. So 02 is our midpoint.

We need to find the midpoint between P. One and P. Two. So we label our points X. One, Y. One X two, Y 2. R. Midpoint Formula is we take the two X. Values and add them together, divide by two. Take the two Y values, add them together and divide by two. So that's right everything down. So now we play again. So we have negative too, plus two. There we have zero plus four. We simplify So our midpoint becomes zero divided by two and four divided by two. So this simplifies to be that our midpoint is located at zero two.

We need to find the midpoint of the given points. So we're going to label are points X one Y one X two, Y 2. So our midpoint formula is X one plus X two divided by two. Y one plus Y two divided by two. So we're going to replace. So we first have negative point to then we have to point with the wrong spot. So we have 2.3, Then we have .3 And then we have 1.1. So this is going to simplify to be Uh huh. Yeah no negative 0.2 plus 2.3. This comes out to be 2.1 divided by two And then we have .3 plus 1.1. So that's 1.4 divided by two. So 2.1 divided by two simplifies to be 1.05 And then 1.4 divided by two simplifies to be 0.7.


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