Question

date: 9/3/25 per: 2 unit 1: geometry basics homework 1: points, lines, and planes 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.

Explanation:

Step1: Count points

Points are the dots. There are 5 points: V, W, X, Y, Z.

Step2: Count lines

Lines extend infinitely. There are 2 lines: a and b.

Step3: Count planes

There is 1 plane shown, named D.

Step4: Name line with point V

Line a contains point V.

Step5: Find intersection of a and b

The intersection of lines a and b is point W.

Step6: Rename line b

Line b can also be named line WZ or line ZW.

Step7: Name non - collinear points

Non - collinear points are not on the same line. V, X, Y are non - collinear.

Step8: Rename plane D

Plane D can also be named plane VWX or other combinations of 3 non - collinear points on the plane.

Answer:

a) 5
b) 2
c) 1
d) Line a
e) W
f) Line WZ
g) V, X, Y
h) Plane VWX