Question

Given rectangular prism ABCD. Choose all of the terms that best describe each of the sets of lines or points. Points D, G and J collinear intersecting parallel noncollinear noncoplanar

Answer 1

Answer:

Step-by-step explanation:

The given parallelogram is attached.

First, we have to define some terms:

• Collinear means that they are on the same line, non-collinear is the opposite.
• Intersecting means that the point are touching each other, this apply to segments.
• Parallel means that they will never intersect, because they have the same slope or inclination, this apply to lines also.
• Coplanar means that points are in the same plane, non-coplanar is the opposite.

So, if we observe points D, G and J, from given options, they are non-collinear and non-coplanar, because they are not on the same line, nor plane.

Answer 2

Answer:

Two points are collinear when they lie on the same line. Points are collinear but not lines. Rather when two lines lie on the same plane we say they are coplanar.

Hence, line AB and CD are NOT collinear, so they are noncollinear and they are coplanar.

Two or more lines are said to be intersecting, when the lines meet at some point, when lines are not intersecting they are said to be parallel.

Recall that one of the properties of a rectangle is that opposite sides are parallel.

Notice that line AB and CB are the opposite sides of the rectangle ABCD.

Thus, line AB and CD are not intersecting but are parallel.

Therefore, the terms that best describe lines AB and CD are  

parallel  

noncollinear  

coplanar

Step-by-step explanation: