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

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.

HOPE THIS HELPS

answer: check all that apply, where the options?

step-by-step explanation:

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc