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Title: Geometry Theory
Description: This set of notes goes over basic geometry theory, each type of conditional statement in geometry, and how to write conditional statements!
Description: This set of notes goes over basic geometry theory, each type of conditional statement in geometry, and how to write conditional statements!
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Geometry Theory
Inductive Reasoning and Conjecturing - A conjecture is an educated guess
...
Counter example – A counter example is a statement that shows the conjecture is
false
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-Every conditional statement has 2 basic parts: The part following the “if” is the
hypothesis and the part following the then is the conclusion
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If today is the first day of fall, then the month is September
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If Y – 3 = 5, then Y = 8
Hypothesis: Y – 3 = 5
Conclusion: Y = 8
Writing statements in if-then form
1
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2
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Types of Conditional Statements
Converse – The converse of a conditional statement switches the hypothesis and
the conclusion
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If two lines intersect to form right angles, then they are perpendicular
...
2
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Converse – If two lines are skew, then they are not parallel and they do not
intersect
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Examples of Inverse
1
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Conditional – If an angle is a right angle, then its measure is 90 degrees
...
2
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Conditional – If a figure is a square, then it has four right angles
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Contrapositive – The contrapositive of a conditional statement negates the
hypothesis and the conclusion of the converse of the given conditional statement
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If two lines intersect, then they share at least one point
...
2
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Contrapositive - If a figure is not a quadrilateral, then it does not have four sides
Title: Geometry Theory
Description: This set of notes goes over basic geometry theory, each type of conditional statement in geometry, and how to write conditional statements!
Description: This set of notes goes over basic geometry theory, each type of conditional statement in geometry, and how to write conditional statements!