SOLUTION: What is it called when you have 2 parallel lines and one has a perpendicular to another line? The figure that I'm using looks like this: <img src="http://www.all4friends.info/jooml

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Question 388592: What is it called when you have 2 parallel lines and one has a perpendicular to another line? The figure that I'm using looks like this:
It's for a proof.
Given: j||k, m is perpendicular to j
Prove: m is perpendicular to k
Statements------------------------------------------Reason
1. j||k---------------------------------------------1. Given
2. m is perpendicular to j--------------------------2. Given
3. angle 1 is congruent to angle 2------------------3. Alternate interior angles
4. m of angle 1=90----------------------------------4. Definition of perpendicular lines
5. m of angle 2=90----------------------------------5. Definition of perpendicular lines
6. m is perpendicular to k--------------------------6. __?__
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Here's how I would do this. (Most of the time there are multiple ways to do a proof so this is not the one and only correct proof:


It's for a proof.

Given: j || k, m is perpendicular to j

Prove: m is perpendicular to k

Statements------------------------------------------Reason

1. m is perpendicular to j--------------------------1. Given

2. Angle 1 is a right angle.........................2. Def. of perp. lines

3. m of Angle 1 = 90 degrees........................3. Def. of right angles

4. j || k-------------------------------------------4. Given

5. angle 1 is congruent to angle 2------------------5. Alternate interior angles

6. m of angle 1 = m of angle 2......................6. Def. of congruent angles

7. 90 = m of angle 2................................7. Substitution property of equality

(Substituting the 90 from statement 3)

8. angle 2 is a right angle.........................8. Def. of right angles

9. m is perpendicular to k--------------------------9. Def. of perp. lines