Review Parallel Proofs

What would statement #1 be

• Given

Answer explanation

Your first statement is ALWAYS the information in the given

What would reason #1 be

• Given

Answer explanation

Your first reason is ALWAYS "Given"

What could statement #2 be

Answer explanation

If a line and ray are perpendicular, then they form right angles.

What could reason #2 be

• Definition of right angle 

•  Right angle congruence 

Answer explanation

If a line and ray are perpendicular and they are forming right angles, the reason is definition of perpendicular.

What could statement #3 be

• Definition of right angle

Answer explanation

If you have a right angle, then its measure is 90 degrees

What could reason #3 be

• Definition of right angle

• Definition of perpendicular 

Answer explanation

If you are going from the word right angle to the angle being equal to 90 degrees, then the reason is definition of right angle

What could statement #4 be

Answer explanation

You have changed everything you can from the perpendicular to right angle to the angle equaling 90 degrees. If you go back to the given, you have 2 congruent angles. You are working with an equal sign, so we need to change them to a congruent sign.

What could reason #4 be

• Definition of perpendicular 

•  Definition of right angle 

Answer explanation

If you are going from the word right angle to the angle being equal to 90 degrees, then the reason is definition of right angle

What could statement #5 be

Answer explanation

From statement 3 you have the measure of angle 2 = 90 degrees. In statement 4, you have that angle 1 = angle 2. You can changed the angle 2 to angle 1.

What could reason #5 be

• Substitution POE 

• Transitive POE

• Definition of perpendicular 

•  Definition of right angle 

Answer explanation

If you are taking something out and replacing it with something else of equivalence, then you are substituting.