Question

1. Use the diagram to answer the following questions.

a) How many points appear in the figure?
b) How many lines appear in the figure?
c) How many planes appear in the figure?
d) Name a line containing point V.
e) Name the intersection of lines a and b.
f) Give another name for line b.
g) Name three non-collinear points.
h) Give another name for plane D.​

Answer 1

a) points are; Y, X,V and Z(b)a and b(c) D(d) a(e) W(f) line bisector.(g) Y,X,W or VZW(h)YXW or VZW

Explanation:

Answer 2

(a) points are; Y, X,V and Z

(b)a and b

(c) D

(d) a

(e) W

(f) line bisector.

(g) Y,X,W or VZW

(h)YXW or VZW

Explanation:

(a)A point is an exact position on a plane surface usually indicated as a dot and has no size.In the figure, points are; Y, X,V and Z

(b) A line is a line of points which is extending infinitely in two directions.The lines appearing in this figure are; a and b

(c)A plane is a flat surface made of points which extend infinitely in all directions. The plane in the figure is D

(d)A line containing point V is that one which has the point V that extends infinitely in two directions. The line with point V is a

(e)An intersection point is where two lines meet at right-angle.The intersection point of line a and b is W

(f) A line that bisects another line segment into two equal parts is called a line bisector.

(g)Non-collinear points are those points which do not lie on the same line.In this case, points Y and X are non-collinear and points Z and V are also non-collinear

(h)A plane has two dimensions , extends without ending and its shape looks like that of a floor. Any three points not on the same line represents a plane.In this case, plane D is also called plane YXW