refer to the cube picture below, and use symbols such as AB to name the following:
a. two parallel line segments?
b. two line segments that do not lie in the same plane.
c. two intersecting line segments
d. three concurrent line segments that do not lie in a single plans
e. two skew line segments
f. a pair of supplementary angles
g. a pair of perpendicular line segments
h. are points A, B and H coplanar points? why or why not?
Start with your picture.
a) Parallel means they will always be the same distance apart.
c) intersecting line segments either touch at a corner or cross
etc...
Unfortunately, there seems to be a mistake in your question as you mentioned a "cube picture below," but there is no picture attached or visible. Can you please provide a description or reattach the picture so that I can assist you further?
I apologize, but as an AI text-based bot, I cannot view or interpret images directly. However, I can assist you by providing general explanations and guiding you on how to answer these questions using the given information.
a. Two parallel line segments:
Parallel line segments are lines that never intersect, no matter how far they are extended. In the given cube, you can identify parallel line segments by looking for lines that are in the same plane and have the same inclination or slope. Determine the names of the line segments based on their endpoints, and then compare their slopes or inclinations to confirm if they are parallel.
b. Two line segments that do not lie in the same plane:
Line segments that do not lie in the same plane are referred to as skew line segments. Skew line segments are not parallel and do not intersect. Unfortunately, without visual reference, it is difficult to determine specific skew line segments in the cube.
c. Two intersecting line segments:
To identify two intersecting line segments, you need to search for line segments that cross or share a common point. In the cube, look for line segments that intersect at a point and name them using their endpoints.
d. Three concurrent line segments that do not lie in a single plane:
Concurrent line segments refer to lines that all intersect at a common point. In the cube, identify three line segments that intersect at a single point. To confirm that they do not lie in a single plane, observe if any two of the segments lie in the same plane while the third segment intersects them.
e. Two skew line segments:
Skew lines are lines that do not lie in the same plane and are not parallel. In the cube, search for pairs of line segments that don't lie in the same plane and do not intersect. Without visual reference, providing specific line segment names is not possible.
f. A pair of supplementary angles:
Supplementary angles are two angles that add up to 180 degrees. In the given cube, you need to identify two angles that sum up to 180 degrees. The angles can be named using the points or line segments that form them.
g. A pair of perpendicular line segments:
Perpendicular line segments are lines that meet or intersect at a 90-degree angle. In the cube, you can identify perpendicular lines by looking for line segments that form a right angle. Name these line segments based on their endpoints.
h. Are points A, B, and H coplanar points? Why or why not?
To determine if points A, B, and H are coplanar, you need to check if these points lie on the same plane. Without visual reference, it is difficult to assess their coplanarity. However, in the given cube, if points A, B, and H are endpoints of line segments, they are most likely coplanar since the cube is a three-dimensional figure with six congruent faces.