3. use the diagram below to answer the following questions.

a. name three points.

b. name four different line segments.

c. write two other names for (fg) ⃡.

d. name two different rays.

a. Three points are C, D and G.

b. Four different line segments are FD, FG, DG and DC.

c. Two other names for (FG) are (FD+DG) or GF.

d. Two different rays are GF and FG.

Step-by-step explanation:

a.

In this given figure we have four points F, D, C and G. We can choose any three from them.

Therefore the three points are C, D and G.

b.

If a straight line connect two points, then the it is called a line segment.

The points F and D, F and G, D and G, D and C are connected by straight lines.

Therefore the four different line segments are FD, FG, DG and DC.

c.

The line segments FG connects two points F and G. So it can be written as FG or GF.

Since point D lies between the line segments FG, therefore FG can be written as (FD+DG).

Therefore, the two other names for (FG) are (FD+DG) or GF.

d.

Line segment has two end point but a ray has one end point and it continuing indefinitely one directions.

FG continuing indefinitely in right direction and GF continuing indefinitely in left direction.

Therefore the two different rays are GF and FG.