Answer:
a) FC ←→ and BD ←→ are distinct lines that intersect.
b) B , C and D are distinct points that are collinear.
c) Another name for plane [tex]X[/tex] is plane AEF.
d) E , A , F and C are distinct points that are coplanar.
Step-by-step explanation:
The first step to solve this question is to look carefully at the picture.
For a) :
We can see that the line FC and the line BD intersect at the point C.
We can write :
a) FC ←→ and BD ←→ are distinct lines that intersect (we can see more lines that intersect with FC ←→ in the picture such as AC ←→ or AE ←→).
For b) :
We can see that the line BD ←→ passes through the points B , C and D (B , C and D are collinear points).
We can write :
b) B , C and D are distinct points that are collinear.
For c) :
We can name any plane using three points which are contain in the plane but this three points must not be collinear points.
We can name the plane [tex]X[/tex] using the points A , E and F (this is a possible solution).
We can write :
c) Another name for plane [tex]X[/tex] is plane AEF.
Finally, for d) :
Two or more points are coplanar wherever they belong to the same plane.
In the picture, the points A , E , F and C belong to the plane [tex]X[/tex].
We can write :
d) E , A , F and C are distinct points that are coplanar.
