TODAY IN GEOMETRY…

Learning Goal 1: 2.4 You will use postulates involving points, lines, and planes

Independent Practice

POSTULATE 5: POSTULATE 6: Through any two points there exists one line.

A line contains at least two points.

𝐴

𝐵

𝐶

𝐴

𝐵

𝐶𝐷

POSTULATE 7: POSTULATE 8: If two lines intersect, then their intersection is exactly one point.

Through any three noncollinear points there exists exactly one plane.

𝐴𝐴

𝐵𝐶

POSTULATE 9: POSTULATE 10: A plane contains at least three noncollinear points.

If two points lie in a plane, then the line containing them lies in the plane.

𝐸

𝐹𝐺

𝐻𝐼

𝐺

𝐻

POSTULATE 11: If two planes intersect, then their intersection is a line.

PRACTICE: State the postulate illustrated by the diagram.

POSTULATE 7:If two lines intersect, then their intersection is exactly

one point.

POSTULATE 11:If two planes intersect, then their intersection is a line.

PRACTICE: Use the diagram to write examples of each postulate:

POSTULATE 9:

POSTULATE 10:

A plane contains at least three noncollinear points.

Plane P contains points noncollinear points B, A, C

If two points lie in a plane, then the line containing them lies in the plane.

Points A and B lie on Plane P, line n also lies on Plane P.

PRACTICE: Use the diagram to determine if the statement is true or false.1. All points are coplanar.

2. G, F, and E are collinear.

3. and intersect.

4. and are vertical angles.

5. and intersect at H.

6.

T

F

F

T

T

F

HOMEWORK #2:

Pg. 99: 3-8, 11-23If finished, work on other assignments:

HW #1: Pg. 82: 3-18, 26-28, 47-54