Question

The proof by indirect method is shown below. In which step does the contradiction appear?

Given: AB ≠ DE and point C is a midpoint of BD
Prove: AC ≠ CE

Step 1: Assume AD = CD
Step 2: BC = CD
Step 3: AC − BC = CE − CD
Step 4: AB = DE
Step 5: AC ≠ CE

A. Step 5
B. Step 4
C. Step 2
D. Step 1

Answer 1

Step 5

Answer 2

Step 4

Answer 3

can someone explain? .-.

Answer 4

if you see step 4 says AB = DE which contradicts the Given

Answer 5

Shouldn't the contradiction disprove the assumption, not the given?

Answer 6

we start with the opposite of what needs to be proven and stop when we arrive at a contradiction in given or assumptions.

Answer 7

are you doing the end exam ?

Answer 8

no im working on a computer im in a program called options and its self paced right now im doing lessons to finish the course thats why i come on here for help.

Answer 9

ohk..