A postulate is a statement that is assumed true without proof. A theorem is a true statement that deserve to be prcooktop. Listed listed below are 6 postulates and also the theorems that can be prrange from these postulates.
You are watching: Which of the following statements are postulates
Postulate 1: A line has at least 2 points. Postulate 2: A aircraft has at least 3 noncoldirect points. Postulate 3: Thturbulent any type of 2 points, tbelow is specifically one line. Postulate 4: Thunstable any type of three noncoldirect points, there is exactly one airplane. Postulate 5: If 2 points lie in a plane, then the line joining them lies in that airplane. Postulate 6: If two planes intersect, then their intersection is a line. Theorem 1: If two lines intersect, then they intersect in precisely one point. Theorem 2: If a point lies external a line, then specifically one aircraft consists of both the line and also the suggest. Theorem 3: If two lines intersect, then exactly one airplane has both lines.
Example 1: State the postulate or theorem you would usage to justify the statement made around each figure.
Figure 1Illustrations of Postulates 1–6 and Theorems 1–3.
See more: Which Of The Following Explains Why A Small Conflict In The Balkans Spread To All Of Europe?
Thturbulent any three noncolstraight points, there is specifically one airplane (Postulate 4).(b)
Thunstable any kind of 2 points, there is precisely one line (Postulate 3).(c)
If 2 points lie in a aircraft, then the line joining them lies in that plane (Postulate 5).(d)
If 2 planes intersect, then their interarea is a line (Postulate 6).(e)
A line consists of at least 2 points (Postulate 1).(f)
If two lines intersect, then precisely one plane consists of both lines (Theorem 3).(g)
If a allude lies outside a line, then exactly one airplane includes both the line and also the point (Theorem 2).(h)
If two lines intersect, then they intersect in specifically one point (Theorem 1).
Rerelocating #book# from your Reading List will certainly also rerelocate anybooknoted peras linked through this title.
Are you certain you desire to remove #bookConfirmation#and any type of matching bookmarks?Rerelocate
lutz-heilmann.info examine guides are written by actual teachers and also professors, so no matter what you"re studying, lutz-heilmann.info can ease your homework headaches and aid you score high on exams.