Question

how do u do this

Answer 1

Have you learned about the Triangle Congruence Postulates?

For example: ASA, AAS, SAS, SSS ?

Answer 2

mhm i have

Answer 3

Cool, our goal is to use one of those to be able to say that the two triangles are congruent.

after we say that the triangles are congruent, then we can use CPCTC to say that the two sides that we want are also congruent

Answer 4

^ this is just our game plan / outline of what we want to do

Answer 5

i- ahhhh ok

Answer 6

are you confused? I know I just used a lot of words there lol

Answer 7

i just dont get triangles and proofs, and most of my hw is triangles

Answer 8

yeah I know, this entire geometry unit is just that - you're gonna spent a lot of your school year on this

Answer 9

ok so since we want to use one of these : ASA, AAS, SAS, SSS

Tell me what information do we have so far?
Do we have an Angle, a Side? Two angles? three sides?
What do we know are congruent already?

Answer 10

ahh ok uhhhhhh ok

Answer 11

theres 4 sides but no angles

Answer 12

whoops, not what I meant

I'll rephrase:
What information is GIVEN to us? Are they telling us about angles or sides (in the Given information)

Answer 13

ummm it says that angle DFE is congruent to angle DFG

Answer 14

and then the other given it says angel EDF is congruent to angle GDF

Answer 15

Perfect!

So we know that TWO pairs of angles are already congruent.

Which of the triangle congruence postulates can use two pairs of angles?
ASA, AAS, SAS, SSS

(aka, which of those combinations have to As in them?)

Answer 16

*have TWO As in them

Answer 17

there are no angles tho

Answer 18

ohhhhh

Answer 19

you have to use what they told you to mark the angles yourself

Answer 20

now tell me: which postulate should we use?

ASA, AAS, SAS, SSS
Which of these combinations has TWO As?

Answer 21

would it be asa?

Answer 22

good good!

ASA or AAS both have two As

which means that either way, we want to name another pair of SIDES that are congruent in order to use ASA OR AAS

what is a side that could potentially be equal to another side in your picture?

Answer 23

what do u mean?

Answer 24

Why would the side DF be equal to the side DF?

Answer 25

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Angle
Why would the side DF be equal to the side DF?
\(\color{#0cbb34}{\text{End of Quote}}\)
cuz they are reflected angles?

Answer 26

Be careful to note that ASA and AAS depend on the order
With ASA, the sides are between the angles
With AAS, the sides are not between the angles
So they're slightly different ideas

Answer 27

close @bri05

there is a reflection going on, but I was just talking about SIDE DF being equal to SIDE DF, why did you include angles in your answer?

Answer 28

what not i didnt im lost againnnnn

Answer 29

\(\color{#0cbb34}{\text{Originally Posted by}}\) @bri05
\(\color{#0cbb34}{\text{Originally Posted by}}\) @Angle
Why would the side DF be equal to the side DF?
\(\color{#0cbb34}{\text{End of Quote}}\)
cuz they are reflected angles?
\(\color{#0cbb34}{\text{End of Quote}}\)

Side DF = Side DF because of the Reflexive Property of Equality

Answer 30

yeah anddd im lost now

Answer 31

This line segment I just circled is called SIDE DF

I am saying that Side DF is equal to Side DF

Answer 32

ohhhhhhh ok

Answer 33

Which triangle congruence postulate do you think we should use then?

Answer 34

ohhh so its asa

Answer 35

awesome!


So just a recap of what we have figured out so far:

DF = DF because of the Reflexive Property

And

triangle DFG = triangle DFE because of ASA

Answer 36

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Angle
awesome!


So just a recap of what we have figured out so far:

DF = DF because of the Reflexive Property

And

triangle DFG = triangle DFE because of ASA
\(\color{#0cbb34}{\text{End of Quote}}\)
I got lost on that bottom part

Answer 37

\(\color{#0cbb34}{\text{Originally Posted by}}\) bri05
ohhh so its asa
\(\color{#0cbb34}{\text{End of Quote}}\)

You just said that we can use ASA

Answer 38

ASA says that the triangles are congruent

Answer 39

ohhh ok i think i get it

Answer 40

Ok

then What does CPCTC mean?

Answer 41

ummmmm i dont know

Answer 42

Have you heard of: Corresponding Parts of Congruent Triangles are Congruent ?

Answer 43

ohhhhhh mhm i have

Answer 44

i just dont get what it means

Answer 45

It means that:

If we know that two triangles are congruent.

Then we know that all of the corresponding angles and corresponding sides are also congruent.

Answer 46

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Angle
It means that:

If we know that two triangles are congruent.

Then we know that all of the corresponding angles and corresponding sides are also congruent.
\(\color{#0cbb34}{\text{End of Quote}}\)
ohhh ok

Answer 47

Alright, Are the sides DE and DG corresponding sides?

Answer 48

mhm they are

Answer 49

Imagine 2 houses that are identical. If that's the case, then the two front doors are the same
houses = triangles
front doors = piece of the triangle

That's one possible analogy to think of to help remember how CPCTC works

Answer 50

Are the two triangles DFE and DFG congruent triangles?

Answer 51

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jimthompson5910
Imagine 2 houses that are identical. If that's the case, then the two front doors are the same
houses = triangles
front doors = piece of the triangle

That's one possible analogy to think of to help remember how CPCTC works
\(\color{#0cbb34}{\text{End of Quote}}\)
i- u got me more confused dude

Answer 52

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Angle
Are the two triangles DFE and DFG congruent triangles?
\(\color{#0cbb34}{\text{End of Quote}}\)
mhm they are

Answer 53

Sorry ignore my comment

Answer 54

Then we are allowed to use CPCTC

this means that
DE = DG because of CPCTC

Answer 55

ohhhhhhh so does that mean triangles DFE and DG are equal cuz of CPCTC

Answer 56

NONO

the triangles were equal because of ASA

Answer 57

WHATTTTT

Answer 58

ASA means:

If we have a pair of Angles, a pair of Sides, and another pair of Angles that are all equal

Then the two triangles are congruent

Answer 59

ok i get that

Answer 60

so recap:

DF = DF because reflexive property

Triangle DFE = triangle DFG because ASA

DE = DG because CPCTC