Question

Look at the figure shown below.



A student made the table below to show the steps to prove that DC is equal to EC.

Statements Justifications
AC = BC
Given
m∡EAC = m∡DBC
Given
m∡ACD = m∡BCE
Given
m∡ACE = m∡ACD + m∡DCE
Angle Addition Postulate
m∡BCD = m∡BCE + m∡DCE
Angle Addition Postulate
m∡BCD = m∡ACD + m∡DCE
Substitution

DBC ≅ EAC
ASA postulate
DC = EC
CPCTC


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

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_1008_14/image0014e8caf21.jpg

Answer 2

I have no idea on what to do.

Answer 3

May someone please help me?

Answer 4

A= Angle
S= Side
you can prove these figures by
angle side angle (ASA) (SSS) and you get the point
the only ones that don't work is
(retrice and (AAA)

Answer 5

Thanks!!!!

Answer 6

well i only typed that because i just went to eat.
ok have you guys done two columns proofs yet? where you name angles, sides, or other parts on the left and properties or conjectures on the left so you have enough to prove congruency of two figures or just a specific angle in two figures whatever they are asking?

Answer 7

ok i see you probably have because you use corresponding parts of a congruent triangle are congruent. there are other things you can use like reflexive property if the figures shared a side. triangle sum conjecture. you will just be learning a lot of conjectures that will help you prove a figure. idk what type of class you take. onlevel or honors, but in honors we learned a lot.