Standard #: MA.912.G.8.5 (Archived Standard)


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Write geometric proofs, including proofs by contradiction and proofs involving coordinate geometry. Use and compare a variety of ways to present deductive proofs, such as flow charts, paragraphs, two-column, and indirect proofs.


Remarks


Example: Prove that the sum of the measures of the interior angles of a triangle is 180°.
Example: Prove that the perpendicular bisector of line segment AB is the set of all points equidistant from the endpoints A and B.
Example: Prove that two lines are parallel if and only if the alternate interior angles the lines make with a transversal are equal.

General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Geometry
Standard: Mathematical Reasoning and Problem Solving - In a general sense, mathematics is problem solving. In all mathematics, use problem-solving skills, choose how to approach a problem, explain the reasoning, and check the results. At this level, apply these skills to making conjectures, using axioms and theorems, constructing logical arguments, and writing geometric proofs. Learn about inductive and deductive reasoning and how to use counterexamples to show that a general statement is false.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 3: Strategic Thinking & Complex Reasoning - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes
Printed On:5/5/2024 5:23:01 PM
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