Identify one of the steps necessary to construct a parallel line to a given line through a point not on the line.
A. After drawing a given line and a point not on the line, fold your paper so that the fold goes through the point not on the line.
B. With the pointed tip of your compass on a point on the given line, draw an arc that intersects the given line and the line drawn from the point on the given line to the point not on the given line
C. Place the edge of a ruler on the given line and slide the ruler up or down until it is aligned with the point, then draw a line through the point.
D. With the pointed tip of your compass on a point on the given line, draw an arc that extends both above and below the given line.
C. Place the edge of a ruler on the given line and slide the ruler up or down until it is aligned with the point, then draw a line through the point.
Which statement is true for all parallel lines?
A. Parallel lines have slopes that are negative reciprocals of each other.
B. Parallel lines have a slope of zero.
C. Parallel lines have slopes that are undefined.
D. Parallel lines have the same slope
C. Place the edge of a ruler on the given line and slide the ruler up or down until it is aligned with the point, then draw a line through the point.
The correct answer is C. Place the edge of a ruler on the given line and slide the ruler up or down until it is aligned with the point, then draw a line through the point.
To construct a parallel line to a given line through a point not on the line, we can use the following steps:
1. Start by drawing the given line on a piece of paper.
2. Choose a point that is not on the given line. This will be the point through which the parallel line will pass.
3. Take a ruler and place its edge on the given line.
4. Slide the ruler vertically up or down until it is aligned with the point that is not on the line.
5. Once the ruler is aligned with the point, draw a line using the ruler to connect the given line and the point. This new line will be parallel to the given line and pass through the chosen point.
Option C, "Place the edge of a ruler on the given line and slide the ruler up or down until it is aligned with the point, then draw a line through the point," describes this process accurately.