Question

Help me with proofs please
A. Provide the missing statement and justification in the proof.
B. Using complete sentences, explain why the proof would not work without the missing step.

Answer 1

\[\Large m(ECA)=m(DCB)\]

Answer 2

You need to show that the measure of angle ACE is equal to the measure of angle DCB

Answer 3

@Noura11 so the missing statement is m(eca)=m(dcb)

Answer 4

@Mertsj how do i do that?

Answer 5

Look at steps 4 and 6 and see if you can figure out how to show they are equal.

Answer 6

@Mertsj well the 2 angles are on the same line that is supplementary

Answer 7

Do you see that in step 4 the angle is equal to ACD + DCE?

Answer 8

yes

Answer 9

Do you see that in step 6 the angle is equal to ACD + DCE?

Answer 10

yeah

Answer 11

Do you notice that I just typed the exact same thing twice?

Answer 12

yea

Answer 13

except for the step part

Answer 14

they do say the same thing

Answer 15

So here is a similar example to help you come to the right conclusion:
If angle A = 30 and angle B = 30 what can you conclude?

Answer 16

They're congruent?

Answer 17

Yes. Angle A = angle B

Answer 18

Now apply that same logic to steps 4 and 6

Answer 19

The transitive property tells us that if A = B and B=C then A=C

Answer 20

Oh okay i understand that but it still doesn't answer the question because im asked to provide the missing statement and justification in the proof

Answer 21

Noura11 and I both provided you with the missing statement and I provided you with the reason. You need to reread the exchanges of this post.

Answer 22

okay

Answer 23

so i got the missing statement from noura but not the justification and you gave me the reason why the proof wouldn't work without that missing statement

Answer 24

The transitive property tells us that if A = B and B=C then A=C

Answer 25

oh okay thank you both so much :)

Answer 26

yw