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

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.

10 you would take 50/ .2

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: