Mindjog 9/3 u Come up with two of your own examples of using inductive reasoning to find a conjecture. One must use numbers and the other must use diagrams. Give them to a neighbor to solve.

Objective u SWBAT define and understand basic terms and postulates in geometry.

The Basics u Point – undefined term; named with a capital letter T

The Basics u Line – undefined term; named with 2 points T P

The Basics u Collinear – points are in a line u Noncollinear – points are not in a line T P K

Exploration u Use as many straight lines as you can find to connect the two points. L R

Exploration u How many did you find? u One L R

Postulate #1 u Through any two points there is exactly one line. L R

Exploration u Use the straws as lines. u Make the straws intersect as many times as possible without bending.

Exploration u How many times will the straws intersect? u One

Postulate #2 u If two lines intersect, then they intersect in exactly one point.

The Basics u Plane – undefined term; named with 3 noncollinear points T P K

The Basics u Coplanar – points are in the same plane. T P K

The Basics u Noncoplanar – points are not in the same plane. T P K Q

Exploration u Use the cards as 2 planes. Connect them. u What do they form when they are connected?

Postulate #3 u If two planes intersect, then they intersect in a line.

Exploration u How many flat surfaces can contain all the three points at once? R L N

Postulate #4 u Through any three noncollinear points there is exactly one plane. R L N

Homework u P. 15 – 16: # 2 – 22 even, 34 – 39 u Be sure to draw the picture or write the sentence so you know what you’re talking about.

The Basics u Point – ______________ ______________; named with a _______________ T

The Basics u Line – _______________ __________; named with _______ points T P

The Basics u Collinear – points are ___ _______________ u Noncollinear – points are _____________________ T P K

Postulate #1 u Through any two points there is _______________ _____________________. L R

Postulate #2 u If two lines intersect, then they intersect in ________ _____________________.

The Basics u Plane – ______________ _______; named with ___ _____________________ T P K

The Basics u Coplanar – points are in _____________________. T P K

The Basics u Noncoplanar – points are _____________________. T P K Q

Postulate #3 u If two planes intersect, then they ______________ _____________

Postulate #4 u Through any three noncollinear points there is ______________________. R L N