Question

I have a couple more i need help with . Im not asking for the answers , but any help will do c:
http://gyazo.com/beb5f83256f7430e84741eda8c2428c4

Answer 1

@jdoe0001 can you help me ?

Answer 2

well whats congruent means?

Answer 3

if two objects have the same shape and size

Answer 4

yes they are congruent

Answer 5

as such to prove congruency it is simply enough to prove they have same lengts of each side

Answer 6

ok. soo , i think its a or b .. eliminating c and d . maybe a ?

Answer 7

you are correct about C and D now for last part consider this - when triangle is reflected across one side - that side usually doesn't move as it used as point of reference.

Which one is more likely for that EF or DE?

Answer 8

Im not sure like what so ever .. Im thinking EF but then again im not sure .

Answer 9

well imagine a physical triange, that you are actually flipping on the table, then thinks of side that its being reflected on as side that doesnt leave the table while you are flipping triangle around.

Answer 10

ohh ok, now i think i get it .. if you flip FE, it will reflected downward, and if you flip DF it will be reflected to the left . am i right ?

Answer 11

precisely!

Answer 12

FE will cause down left reflection while DE will cause up left

Answer 13

I get it :D yayyyy . so it is congruent . and its reflected across its side DF.

Answer 14

oh no , FE . my bad

Answer 15

yep FE

Answer 16

yayy ! thanks so much . do you think you have time for 1 more ?

Answer 17

shoot

Answer 18

http://gyazo.com/9b0347040af2e9e9b42c1ca1ec471102

Answer 19

This by far is THE HARDEST thing ive done so far in geometry .

Answer 20

hmm hookay lets tackle this

I presume A stands for angle and S stands for side

Answer 21

yup yup

Answer 22

so assuming i have no idea what these theorems stand for (been 10+ years XD) lets logically see what we are aware of:

definition 2 and 3 tells us about angles while definition 4 gives us a side. as such we would be dealing with 2 As and 1 S.

now try to see in which order they are located in each triangle

Answer 23

So it will be AAS . saying that definition 2 s an angle and definition 3 is an angle . and definition 4 is a side . Or is my thinking wrong ?

Answer 24

a and c are angles , and b and d or sides ?

Answer 25

the order is not based on definitions but actual locations of angles and sides in triangle. Try to see whats in the middle and what are on the sides

Answer 26

im so lost right now . umm . could you tell me what makes each one a side and what makes each one an angle?

Answer 27

side is the line between two points, angle is the angle between two sides in that question numbers represent angles, while sides are represented by 2 letters

Answer 28

ok , i get that now . thanks . so saying that , i can infer that a is most def. an angle right?

Answer 29

you cant define angle by 1 point of the triangle - while A has only 1 angle for example B has 3 you can define angle using 3 letters for example DAB

Answer 30

ok. i get that . sorta..

Answer 31

soo lets start again - we are trying to prove both triangles ABD and CDB are congruent - what do we already know about these triangles that is congruent?

Answer 32

2=5 and 1=4

Answer 33

also .. ABD and CDB are congruent

Answer 34

ABD is 1 and CDB is 4 so its same as 1=4

Answer 35

if you are talking about triangles - they are not yet proven to be

Answer 36

you need to decide what theorem proves they are

Answer 37

ok . is B and D congruent? i think the are ..

Answer 38

B and D ? what do you mean?

Answer 39

look at proofs 2,3 and 5 which sides and angles are congruent?

Answer 40

2,3 and 4*

Answer 41

thinking.. i honestly dont get any of it , like when i think i do . I really dont . Maybe im thinking to deep into the problem and its actually simple . I dont know, but its frustrating .. grrr .

Answer 42

ok look - from 2 and 3 as you have mentioned already we know than angles 1 and 5 are congruent to angles 4 and 2 right?

Answer 43

from statements 2 and 3*

Answer 44

yea .

Answer 45

then in next statement 4 we are given congruency for a side - BD

Answer 46

as such we have two angles and one side in both triangles that are congruent

Answer 47

for example in ABD triangle we have angle 1, angle 5, and side BD

CDB triangle has angle 4, angle 2 , and side BD

Answer 48

now look at each triangle and try to see in what order are they located: for example try to order angle 1, angle 5 and side BD as they are present in triangle ABD

Answer 49

asa?

Answer 50

that is correct - in that triangle we have side and two angles on each side that are congruent to other triangle

Answer 51

therefore to prove congruency of these two triangles, and fill in grey area you need to use ASA theorem

Answer 52

ok, thanks so much . and sorry for wasting your time . I am slowly seeing how to do it . I will try a few on my own and watch a couple videos to fully understand . You did a great job . So Big THANKSSSS :D !!

Answer 53

good luck