Question

complete each sentence.
1.1
a. points that lie on the same line are called ______ points.
b. points that do not lie in the same plane are called ______ points.
c. there is exactly one ______ through any two points.
d. there is exactly one ______ through any three noncollinear points.

refer to the figure at the right. indicate whether each statement is true or false.
a. points a, b, and c are collinear. false (note: original has writing)
b. the intersection of plane abc and line m is point p.
c. line ℓ and line m do not intersect.
d. points a, p, and b can be used to name plane u.
e. line ℓ lies in plane acb.

refer to the figure.

• name a line that contains points t and p.
• name a line that intersects the plane containing points q, n, and p.
• name the plane that contains $overline{tn}$ and $overline{qr}$.

refer to the figure.

1. how many planes are shown in the figure?
2. name three collinear points.
3. are points n, r, s, and w coplanar? explain.

visualization name the geometric term(s) modeled by each object.

1. (stop sign image)
2. tip of pin
3. (violin strings image)

Explanation:

Part 1: Completing Sentences

a.

Step1: Recall collinear points definition.

Points on the same line are collinear.

Step1: Recall non - coplanar points definition.

Points not in the same plane are non - coplanar.

Step1: Recall postulate about two points.

Through any two points, there is exactly one line.

Answer:

collinear

b.