Question

Complete the proof for theorem 3-13. 1. l||m if lines are ||, corresponding angles are equal. 2. m∠1 = m∠3 vertical angles are equal. 3. m∠2 = m∠3 given 4. m∠1 = m∠2 substitution

Answer 1

To find the proof of this theorem, you need to match column a to column b.

The given are the following:

This would be column  a:

1. l||m 
2.m∠1 = m∠3 
3.m∠2 = m∠3 
4.m∠1 = m∠2 

This would be column b:

a. If lines are ||, corresponding angles are equal. 
b. given 
c. substitution 
d. Vertical angles are equal.

The theorem is asking us to prove that m1 = m2. So the answers would be:

 

1.       Would be b because that is the given for the theorem.

2.       The answer is a.

3.       The answer is d.

4.       The answer is c.