Complete the two-column proof for the theorem "If two angles are congruent, then their supplements are congruent." (Pick one of these bellow for each number)

2. complement or supplement

3. definition of the supplement of an angle, definition of the complement of an angle, or substitution property of equality

4.
m
m

5. Substitution Property of Transitivity, Equality, or Congruence

6. Substitution Property of Equality, Definition of the supplement of an angle, Addition Property of Equality

7.

step-by-step explanation:

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step-by-step explanation:

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

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: