I have answered the questions that were not based on a diagram, since the diagrams are not attached.
The <em><u>correct answers</u></em> are:
C. Parallel line;
B. Vertical; D compass and straightedge; B. 9°35′; A. side of a box.; D. the perpendicular from the line to the point; C. 14°48′; B. The amount of rotation of one side
Explanation:
To imagine a plane intersecting a cylinder, you can imagine a piece of paper cutting through a soup can. In both places the paper intersects the can, a straight line will be formed, and since the paper, intersects the can in the same way in both places, the lines will be parallel.
The vertical angles theorem tells us that any pair of vertical angles will be congruent.
To copy an angle, or construct an angle congruent to a given angle, we only need a compass and a straightedge. We can construct the copy of the angle using arcs and a given straight line segment.
The complement of an angle is the angle that, with the given angle, sums to 90°. There are 60' in one degree; since we have 25', we are lacking 60-25 = 35' for a complete degree. This would give us 81°; this means our complement will have 90-81 = 9°. This makes 9°35'.
A plane geometric surface is represented using a parallelogram. The only of these choices that is a parallelogram is the side of a box.
The shortest distance between two points is a straight line. This is represented from a point to a line as a perpendicular line between the two.
Supplementary angles are angles that sum to 180°. There are 60' in one degree; this means we lack 60-12 = 48' for the next degree. This would put us up to 166°. This means we would need 180-166 = 14°. This makes our answer 14°48'.
The size of an angle is based on the rotation of one of its sides. The more the side is rotated, the larger the angle.
