Question

can someone help

Answer 1

i got triangle BCX congruent to triangle BAX by SSS but idk where to go from there

Answer 2

You have that angle CXA and angle FXD are congruent by opposite angles, and since in a parallelogram opposite angles are congruent, angle B is congruent to angle CXA and angle E is congruent to angle FXD. Get it?

Answer 3

no because fxde isnt a paralellogram

Answer 4

so how do you do the opp angles

Answer 5

Yeah it is. You have it given to you.

Answer 6

Look at the question. It say that both are parallelograms.

Answer 7

OH sorry i didnt see that

Answer 8

Yeah, that would help. XD

Answer 9

So now do you understand the proof?

Answer 10

yeah but like i dont understand the steps its like 2 steps

Answer 11

wait also in general can you use opp <'s are congruent and opp sides are congruent in the same proof/same parallellogram or do you only do one?

Answer 12

@jim_thompson5910

Answer 13

ABCX is a parallelogram (given) so the opposite angles are congruent. You can prove this by dividing up the parallelogram into two triangles. Use the properties of parallel lines to find a pair of congruent alternate interior angles. Then you can combine that with the diagonal to use the ASA property. Finally, use CPCTC.

Answer 14

So because the opposite angles are congruent, we know that

< B = < X

since B is opposite X

Answer 15

similarly, DXFE is a parallelogram, so

< E = < X

because X is opposite E

Answer 16

yeah i understand all that but after i prove the two triangles in parallelogram CBAX where do i go from there?

Answer 17

by the transitive law, we know that if < B = < X and < X = < E, then < B = < E

Answer 18

so do i do the same thing in parallelogram FXDE as i did in BAXC?

Answer 19

and then what is the statement for the CPCTC?

Answer 20

@jim_thompson5910

Answer 21

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent

Answer 22

yeah but whats the statement to go along with that

Answer 23

in a nutshell it means that if you have 2 congruent figures, then the corresponding parts (ie the parts that pair up) will also be congruent

Answer 24

oh, the opposite angles being congruent

Answer 25

so <B and <x

Answer 26

i mean <B and <E

Answer 27

but i thought the reason they were congruent was because of transitive

Answer 28

@jim_thompson5910

Answer 29

the opposite angles are congruent because of CPCTC

you'll have < B = < X and < X = < E based on the property

Answer 30

once you have < B = < X and < X = < E, you use the transitive property to say < B = < E

Answer 31

oh okay thanks! so just to sum it up:
make the 2 parallelograms into 2 triangles each, make the parallelograms congruent, cpctc, transitive

Answer 32

prove the triangles congruent (not the parallelograms), but yes you have the basic outline

Answer 33

kk thanks so much! also can i use more than one method in one parallelogram? like opp sides are cong. and opp angles are cong.

Answer 34

yeah if you've proven a property, you don't need to go through the same work to prove a very similar thing (just with different labels)

Answer 35

so once you show that opposite angles in a parallelogram are congruent, you can just refer to that idea (instead of reinventing the wheel each time)

Answer 36

ok thanks!!!

Answer 37

sure thing