fundamentals of counting & geometry
TRANSCRIPT
![Page 1: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/1.jpg)
Probability-the measure of how likely an event is
to happen.Experiment
-an activity with observable results.Outcomes
- the result of an experimentSample space
- the result of all possible outcomes of the experiment.Event
- the subset of the sample space
![Page 2: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/2.jpg)
Coin
Die/dice
![Page 3: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/3.jpg)
TREE DIAGRAM
![Page 4: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/4.jpg)
![Page 5: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/5.jpg)
Make a tree diagram of the following:
A.) Find the probability of choosing your snacks( cake, spaghetti, salad ) and drinks ( tea, coffee, juice, milk, water.) B.) Find the probability of having a four-letter password using the vowels of the alphabets only.
![Page 6: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/6.jpg)
Experiment
Snacks
Drinks
Sample space
Cake
Spaghetti
Salad
Choosing a snack
![Page 7: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/7.jpg)
Experiment
Sample space
Choosing apassword
1ST 2ND 3RD 4TH 5TH
![Page 8: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/8.jpg)
Geometry- the branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs.
![Page 9: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/9.jpg)
![Page 10: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/10.jpg)
LINE - is straight (no curves),has no thickness, and extends in both directions without end.LINE SEGMENT - is a straight line which joins two points but does not extend beyond them.RAY - is a line that has one end point and the other end continues on.
![Page 11: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/11.jpg)
AB
![Page 12: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/12.jpg)
![Page 13: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/13.jpg)
RAY AB
![Page 14: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/14.jpg)
Example:
JK
AB
CD
![Page 15: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/15.jpg)
A
B
C
![Page 16: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/16.jpg)
![Page 17: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/17.jpg)
![Page 18: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/18.jpg)
![Page 19: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/19.jpg)
KINDS OF ANGLE1.ACUTE ANGLE – An angle
that measures more than 0° and less than 90°.
2.OBTUSE ANGLE – Any angle greater than 90° and smaller than 180°.
3.RIGHT ANGLE – is an angle that has a measure exactly 90°.
![Page 20: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/20.jpg)
![Page 21: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/21.jpg)
![Page 22: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/22.jpg)
![Page 23: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/23.jpg)
![Page 24: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/24.jpg)
![Page 25: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/25.jpg)
![Page 26: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/26.jpg)
![Page 27: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/27.jpg)
Naming AnglesExample: Names
:<WET<1<TEW
![Page 28: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/28.jpg)
Parallel Lines stay the same distance apart and never touch. Perpendicular Lines are lines that meet or cross and form right angles. Intersecting Lines meet or cross each other.
![Page 29: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/29.jpg)
![Page 30: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/30.jpg)
NAMES and SYMBOLS
![Page 31: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/31.jpg)
![Page 32: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/32.jpg)
![Page 33: Fundamentals of counting & GEOMETRY](https://reader035.vdocument.in/reader035/viewer/2022062420/55bdb456bb61eb09128b4637/html5/thumbnails/33.jpg)