Question

Angle 1 is congruent to angle 2 prove p is parallel to q

Answer 1

You'll need 2 more lines to complete this two column proof.

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Line 4

For the "statement" portion, you'll say something like $\angle 2 \cong \angle 3$

The reason for this statement is "transitive property"

We're basically combining lines 1 and 3 to form this new line.

The transitive property is the idea that if A = B and B = C, then A = C. We connect the statements like a chain.

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Line 5

The statement is what you want to prove since this is the last line.

So the statement is $p || q$

The reason is "converse of corresponding angles theorem"

As you can probably guess, this theorem says "If two corresponding angles are congruent, then the lines are parallel".