Question

please help me.
Draw a picture to represent∆ABC ≅ ∆DEF.

Answer 1

hi. do you still need help with this problem?

Answer 2

yes please!

Answer 3

ok. Please draw two triangles that look exactly alike on a piece of paper. when you are done, please tell me.

Answer 4

ok done

Answer 5

now label the vertices of the first triangle A, B, and C in a clockwise order.

Answer 6

mmk. done

Answer 7

okeedoke.

Answer 8

now, starting at the same vertex on the second triangle, using the same clockwise order, label vertices D, E, and F.

Answer 9

ok

Answer 10

now if you put the triangles so that they are one atop the other, then A and D would match up, B and E would match up and C and D would match up

Answer 11

Ok.

Answer 12

you would then have drawn two congruent triangles, which means their sides and internal angels are congruent

Answer 13

the order of the vertices is important. that is why A and D must match up

Answer 14

OH! cool. I dident know that. thank you so much!

Answer 15

*didnt

Answer 16

that is why i had you draw them both and then label them clockwise

Answer 17

OK. well thank you. your a life saver :)

Answer 18

the vertices must be in the same order

Answer 19

my pleasure. anything else i can help with?

Answer 20

actually...can you help me with these?
a. Explain what you need to know about two triangles to use the SSS Postulate to prove them congruent.




b. Explain what you need to know about two triangles to use the SAS Postulate to prove them congruent.




c. Explain what you need to know about two triangles to use the ASA Postulate to prove them congruent.




d. Explain what you need to know about two triangles to use the HL Theorem to prove them congruent.

I have never been any good with things like this and it confuses me.

Answer 21

these things confuse everyone. elementary geometry can be loads of no fun sometimes. lol

Answer 22

lol

Answer 23

what is the SSS postulate?

Answer 24

thats the part that confuses me....

Answer 25

what are you comparing to determine congruence?

Answer 26

now look at your drawing of the two congruent triangles.

Answer 27

ok

Answer 28

AB should be congruent to DE

Answer 29

BC should be congruent to EF

Answer 30

and CA should be congruent to FD

Answer 31

ok. I see that.

Answer 32

so all three sides are congruent in both triangles

Answer 33

AB and DE are called corresponding sides

Answer 34

if I am thinking about congruent right then yes

Answer 35

as are BC and EF

Answer 36

as are CA and FD

Answer 37

yea

Answer 38

ok, then. the SSS postulate says that if three corresponding sides of two triangles are congruent, then the triangles are congruent. does this make sense?

Answer 39

well thats smart. and yes

Answer 40

thank you

Answer 41

now the SAS postulate

Answer 42

you are entirely welcome

Answer 43

:)

Answer 44

now look at your two triangles again

Answer 45

mmk

Answer 46

notice that AB and DE are congruent.

Answer 47

notice that BC and EF are congruent

Answer 48

yea

Answer 49

now notice that the angle B is congruent to the angle E

Answer 50

ok yea

Answer 51

the angle you use is between the two congruent sides

Answer 52

ok

Answer 53

so, if i used FD is congruent to CA and DE is congruent to AB, then what angle is in between them for comparison?

Answer 54

uh.....CB and EF?

Answer 55

I'm dumb....thats not it huh?

Answer 56

you are nt dumb. i am just not showing quite the way you need to see it

Answer 57

ok. look at your drawing again

Answer 58

ok

Answer 59

what is the angle that has FD and DE as its sides?

Answer 60

at what vertex do they intersect?

Answer 61

uh the right angle? and D?

Answer 62

D is where they intersect. it is also the name of the angle that is formed by the two intersecting sides FD and DE

Answer 63

so w8 I was right about D?

Answer 64

so when you use SAS, you are comparing CA and FD and AB and DE and the angles A and D. Look at your drawing.

Answer 65

yes. you were right about D, but i was not sure where you got the right angle

Answer 66

oh ok.

Answer 67

you can not assume the size of any angle unless it is explicitly stated in the problem

Answer 68

Ok.

Answer 69

you can not assume anything that is not stated in the problem is what i should say

Answer 70

OK. good to know :)

Answer 71

Thank you

Answer 72

it is an important safety tip on tests. lol

Answer 73

lol ok. :) thank you so much. sadly though I have to get off so I will have to figure the rest out for myself. :p Thank you so much for your help though!!!

Answer 74

well, ASA compares the angles at the ends of one side and that side

Answer 75

HL compares the hypotenuse and corresponding legs in right triangles. HL can only be used for right triangles. I hope you have a nice evening

Answer 76

take care. bye