Given: m ⊥ l, n ⊥ l. Prove m || n

Question

Statements:

1. m ⊥ l, n ⊥ l
2. <1 is a right angle
3. <2 is a right angle
4. <1 =~ <2
5. m || n 

 

Reasons:

1. Given
2.  
3.  
4.  
5.  

 

Proofs : Fill in the reasons (4) for the statements provided

Answer 1

Given: m ⊥ l, n ⊥ l. Prove m || n

 

IN A PLANE, 2 LINES PERPENDICULAR TO A THIRD LINE ARE PARALLEL TO ONE ANOTHER.

 

Lacking the figure showing where angles 1 & 2 are, I decline to answer further.

Line "l" can be considered to be a transversal, and then two alternate interior angles are equal (congruent right angles) and then that proves that the lines m & n are parallel.

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Given: m ⊥ l, n ⊥ l. Prove m || n