John writes the proof below to show that the sum of the angles in a triangle is equal to 1800. 5
Given: XY intersects SABC at
vertex C and is parallel
to AB
Prove: m2.1 + m_2 + m23 - 180°
Proof:
Statements
1. XYI AB,
2.m24+ m2 2 + m25 - 180°
3. 24 21:25 23
4.M24 21;m25-m23
5. m21 +22+ m23 - 180
Reasons
1.
2
3.
4.
5
Which of these reasons would John NOT need to use in his proof?
The sum of the angles on one side of a straight line is 1800
If a statement about a is true and a - b, the statement formed by replacing a with b is also true.
When two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.
When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.

Hello, I believe the answer you are looking for is:

- When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.

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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: