example of a flow chart before writing a proof. flowcharts organize your thinking process.
given: $ \angle 1 \cong \angle 7 $
prove: $ \ell \parallel m $
19 know
* $ \angle 1 \cong \angle 7 $
from the diagram you know
* $ \angle 1 $ and $ \angle 3 $ are vertical
* $ \angle 5 $ and $ \angle 7 $ are vertical
* $ \angle 1 $ and $ \angle 5 $ are corresponding
* $ \angle 3 $ and $ \angle 7 $ are corresponding
$ \angle 1 \cong \angle 7 $
given
$ \angle 3 \cong \angle 1 $
vertical $ \triangle $ are $ \cong $.
need
one pair of corresponding angles congruent to prove $ \ell \parallel m $
plan
use a pair of congruent vertical angles to relate either $ \angle 1 $ or $ \angle 7 $ to its corresponding angle.
$ \angle 3 \cong \angle 7 $
transitive property of $ \cong $
$ \ell \parallel m $
if corresp. $ \triangle $ are $ \cong $, then the lines are $ \parallel $.
17. always state what you are given and what you need to prove
true
false
18. a diagram with what is given marked appropriately is

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Accepted Answer

# Brief Explanations:
In a proof - writing process, clearly stating the given information and what needs to be proved is a fundamental and necessary step. It helps in organizing the thought process and provides a clear starting point and goal for constructing the proof.

# Answer:
True

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