Question

practice
example 1
refer to the figure for exercises 1 - 7.

1. name the lines that are only in plane q
2. how many planes are labeled in the figure?
3. name the plane containing the lines m and l
4. name the intersection of lines m and l
5. name a point that is not coplanar with points a, b, and c
6. are points f, m, g, and p coplanar? explain.
7. does line n intersect line q? explain.

example 2
name the geometric terms modeled by each object or phrase.

1. one solar panel
2. a tabletop
3. bridge support beam
4. a chessboard

12.
13.

1. a wall and the floor
2. the edge of a table
3. two connected walls
4. a blanket
5. a telephone pole
6. a computer screen

Explanation:

Step1: Analyze question 3

To find the plane containing lines m and l, we look at the figure's planes.

Step2: Analyze question 6

To determine if points F, M, G, and P are coplanar, we check if they lie on the same plane. In 3 - D space, if no three - point subset forms a non - degenerate triangle that forces them out of a single plane.

Step3: Analyze question 9

A tabletop is a flat surface that extends infinitely in two dimensions in a geometric sense, which is modeled by a plane.

Step4: Analyze question 12

The object in question 12 is a three - dimensional object. Its edges and faces can be related to geometric terms. The overall shape can be thought of in terms of planes and lines that make it up.

Step5: Analyze question 15

The edge of a table is a one - dimensional object that can be modeled by a line as it has length but no width or height in the geometric sense.

Answer:

1. (Answer depends on the figure, assume it's plane R if that's the plane containing m and l in the figure).
2. (Answer depends on the figure. If they all lie on the same plane in the figure, say yes; if not, say no. For example, if they are spread out in 3 - D space such that they don't lie on a single flat surface, the answer is no).
3. Plane
4. (Without seeing the full object clearly, it could be related to planes and lines that make up its structure. If it's a simple rectangular - like object, its faces are planes and edges are lines).
5. Line