1-3: postulates
description
Transcript of 1-3: postulates
![Page 1: 1-3: postulates](https://reader035.fdocuments.us/reader035/viewer/2022062217/56813e4b550346895da83827/html5/thumbnails/1.jpg)
![Page 2: 1-3: postulates](https://reader035.fdocuments.us/reader035/viewer/2022062217/56813e4b550346895da83827/html5/thumbnails/2.jpg)
POSTULATE: A FACT ABOUT GEOMETRY THAT IS ACCEPTED AS TRUE
Postulate 1-1: Two points determine a unique line.
Postulate 1-2: If two distinct lines intersect, then their intersection is a point.
Postulate 1-3: Three noncollinear points determine a unique plane.
![Page 3: 1-3: postulates](https://reader035.fdocuments.us/reader035/viewer/2022062217/56813e4b550346895da83827/html5/thumbnails/3.jpg)
ExamplePoints Q, R, S, and T are noncollinear. Name
all of the different lines that can be drawn through these points.
Name the intersection of QR and RS
Q
R
S
T
Point R
QR, QS, QT, RS, RT, and ST
![Page 4: 1-3: postulates](https://reader035.fdocuments.us/reader035/viewer/2022062217/56813e4b550346895da83827/html5/thumbnails/4.jpg)
ExampleName all the planes that are represented in
the figure below. Planes
A B
C
D E
F
ABCACDBCEDEFABD
![Page 5: 1-3: postulates](https://reader035.fdocuments.us/reader035/viewer/2022062217/56813e4b550346895da83827/html5/thumbnails/5.jpg)
Postulate 1-4: If two distinct planes intersect, then their intersection is a line.
ExampleThe figure shows the intersection of six
planes. Name the intersection of planes CDG and BCD
Name the two planes thatintersect in BA.
A
B D
C H
G
F
E
CD
Planes ABC and ABE
![Page 6: 1-3: postulates](https://reader035.fdocuments.us/reader035/viewer/2022062217/56813e4b550346895da83827/html5/thumbnails/6.jpg)
AssignmentWorksheet