Q2
Question
Reword Theorem 1-3 as two statements, one describing the existence and the other describing uniqueness.
Step-by-Step Solution
Verified Answer
There will be at least one plane that will consist of the two lines which are intersecting.
The plane that will consist of the two intersecting lines will be unique.
1Step 1. Write the theorem 1-3.
There is exactly one plane that contains the two intersecting lines.
2Step 2. Rewrite the Theorem 1-3 as the statement describing the existence.
There will be at least one plane that will consist of the two lines which are intersecting.
3Step 3. Rewrite the Theorem 1-3 as the statement describing the uniqueness.
The plane that will consist of the two intersecting lines will be unique.
Other exercises in this chapter
Q15
A carpenter checks to see if a board is warped by laying a straightedge across the board in several directions. State the postulate that is related to this proc
View solution Q1
State Theorem 1-2 using the phrase one and only one.
View solution Q3.
Planes M and N are known to intersect.What kind of figure is the intersection of M and N?State the postulate that supports your answer to part (a
View solution Q4.
Points A and B are known to lie in a plane.What can you say about AB↔?State the postulate that supports your answer to part (a).
View solution