Geometry: Conditionals
This is a free lesson from our course in Geometry
In this lesson you’ll learn the concepts and how to use the connectives If… then, in the reasoning and write the simple sentence. The content, explanations and including practice problems with solution can be learnt with the help of video audio presentation in own hand writing by the instructor and several examples.
The conditionals are statements that say if one thing happens, another will follow. When p and q represent simple sentences, the conditionals “if p then q” is written in symbolic form as p q. Such sentences formed using connectives are called compound sentences. (More text below video...)
<h2> Geometry - Conditionals </h2> <p> statement, hypothesis, conditional, truth, value, video, geometry, conditionals, example, conclusion, if then, geometry help, practice questions, solutions quizzes</p> <p> Conditionals are if-then statements.E.g. Statements such as 'I have a job.' may be replaced by p and the conditional statement</p>
Other useful lessons:
Converse, Inverse, Biconditional and Contrapositive
Inductive and Deductive Reasoning
Disproving Statements
(Continued from above) The conditional sometimes is called an implication; the symbols for conditionals can p -> q can be understood as p implies q. E.g.
• the parts of the conditional- p is called the premise, the hypothesis, or the antecedents (generally follows the word if) AND q is called the conclusion, consequent. The consequent generally follows the word then. E.g. the conditional statement “If two angles are adjacent, then the angles have in common a vertex, a side, and no common interior points”. Here the p (hypothesis) is- If two angles are adjacent AND q (conclusion) is- the angles have in common a vertex, a side, and no common interior points.
Another example: Right angle is defined as- an angle whose measure is 90 degrees. In such a case,
  p: an angle is a right angle hypothesis, which is true.
  q: it measures exactly 90 conclusion, which is true.
• It can be written as conditional: If an angle is a right angle, it measures exactly 90.
• conditional is false when a true hypothesis leads to a false conclusion. In all other cases, the conditional is true.
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