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Lesson 1-3. Postulates. Ohio Content Standards:. Ohio Content Standards:. Formally define geometric figures.
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Lesson 1-3 Postulates
Ohio Content Standards: • Formally define geometric figures. • Establish the validity of conjectures about geometric objects, their properties and relationships by counter-example, inductive and deductive reasoning, and critiquing arguments made by others. • Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, and inductive and deductive reasoning.
Review: • Postulate 1-1 :
Review: • Postulate 1-1 : • Two points determine a unique line.
Review: • Postulate 1-2 :
Review: • Postulate 1-2 : • If two distinct lines intersect, then their intersection is a point.
Review: • Postulate 1-3 :
Review: • Postulate 1-3 : • Three noncollinear points determine a unique plane.
As shown below, points K, L, and M are noncollinear. • Name all of the different lines that can be drawn through these points. K M L
As shown below, points K, L, and M are noncollinear. • Name all of the different lines that can be drawn through these points. • Name the intersection of KL and KM. K M L
Name all of the planes that are represented in the prism. Name all of the planes that are represented in the prism. A B E F C D G H
Review: • Postulate 1-4 :
Review: • Postulate 1-4 : • If two distinct planes intersect, then their intersection is a line.
The figure shows the intersection of six planes. G F H E C D B A
The figure shows the intersection of six planes. G F H E C D B A Name the intersection of plane ABC and plane DEF.
Assignment: Pgs. 21 & 22 10-30 evens