Question

I AM LOST WITH GEOMETRY. ANYONE'S HELP IS APPRECIATED.

Given: HI=9, IJ=9, IJ and JH are congruent
Prove: HI congruent to JH
___Given__________________________Reasons_______
1. HI=9 - 1. --?--
2. IJ=9 2. --?--
3. HI=IJ 3. --?--
4. --?-- 4. Def. of congruent statements
5. IJ congruent to JH 5.--?--
6. HI congruent to JH 6.--?--
I Need help with this

Answer 1

The first three reasons should be pretty easy for you... the reasons are "GIVEN" because the given says these exact things.

Answer 2

I still don't know 'reasons' tho. how do you figure that out?

Answer 3

They said "Given: HI = 9" so you know that, because it's given.

In the proof, they list HI = 9 as step 1

Answer 4

and ask for the reason...the reason is "because it's given in the problem"
but you usually just write "GIVEN"

Answer 5

so the reason is "9"?

Answer 6

Jake is correct. When information is supplied in the problem, it is accepted as true and the reason for this acceptance is because it is 'given'

Answer 7

so i just rewrite the given in the reason blanks?

Answer 8

however, i believe the reason for #3 is transitivity or substitution. either will do

Answer 9

oh thanks thats what id didnt get.. thanks alot

Answer 10

now what do you think is going on with #4?

Answer 11

JI is congruent to HI?

Answer 12

@hsmt you are right on #3 it's not given, I misread the letters.

Answer 13

def of congruence allows one to state that an equality implies congruence and vice versa

Answer 14

ji=hi

Answer 15

you are close. you want to change the equality to a congruence ji is congruent to hi. @JakeV8 , it was my pleasure. gonna let you finish. take care

Answer 16

Oh, please don't :) You're better than me at these!!

Answer 17

@hsmt oh, wait... let @Math_H8er_297 finish... that's fine :) thought you meant I had to finish.

Answer 18

@jake. i did mean you had to finish. but i will stick around if you think i can help

Answer 19

so we have the reason for #5 because it is.......

Answer 20

would #2 be symmetric?

Answer 21

jake was correct on that one. it is information supplied by the problem. so it is given information

Answer 22

#6 is reflexive and #5 is given

Answer 23

you are right about #5. i need to scroll back up and look again at 6.

Answer 24

nvm its given

Answer 25

ok. i think i have it.

Answer 26

the last statement #6 is the transitive property of congruence.

Answer 27

start with HI is congruent to IJ.

Answer 28

Then IJ is congruent to JH.

Answer 29

ok so how is it transitive?

Answer 30

so, HI is congruent to IJ which is congruent to JH, which means that HI is congruent to JH. (transitivity)

Answer 31

ok, im starting to get it

Answer 32

this is tough stuff. I am a math teacher and sometimes i forget the defs and theorems

Answer 33

is there anything else i can help with?

Answer 34

not right now, maybe the next couple problems. =) thanks

Answer 35

allright... take care :)