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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.

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Presentation on theme: "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."— Presentation transcript:

1 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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

19 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.

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

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

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

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

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

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

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

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

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

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


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