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.

Question

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.

anonymous · Answer

attachment

anonymous · Answer

i think i know part a:

Statement 7:  measure of angle ACE = measure angle BCD
   Justification 7: Transitive Property

mathstudent55 · Answer

That is correct.

mathstudent55 · Answer

What about part B?

anonymous · Answer

i think that without the missing step you wouldnt be able to say that the next justification was the ASA postulate. but because i filled in the missing step/justification i know that 2 of the angles are congruent so it is ASA. right?

mathstudent55 · Answer

That is it. This step gives you the second pair of congruent angles that you need to be able to use ASA to prove the two triangles congruent. Without this step you would not be able to prove the triangles congruent, and without the congruent triangles you wouldn't be able to use CPCTC to prove the segements congruent.

anonymous · Answer

okay, thanks for your help

mathstudent55 · Answer

You're welcome, but you did the work yourself. Good job!