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Use coordinate geometry to prove properties of congruent, regular and similar polygons, and to perform transformations in the plane.
Remarks
Example: Draw the polygon defined by the following vertices ( 1, 3), ( -1, 3), (3, 1), (-3, 1), (1, -3), (-1, -3), (-3, -1), (3, -1). Is this polygon regular? Justify your answer.
Example: Is the polygon formed by connecting the points (2, 1), ( 6, 2), (5, 6), and (1, 5) a square? Justify your answer.
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Geometry
Idea: Level 3: Strategic Thinking & Complex Reasoning
Standard: Polygons - Identify and describe polygons (triangles, quadrilaterals, pentagons, hexagons, etc.), using terms such as regular, convex, and concave. Find measures of angles, sides, perimeters, and areas of polygons, justifying the methods used. Apply transformations to polygons. Relate geometry to algebra by using coordinate geometry to determine transformations. Use algebraic reasoning to determine congruence, similarity, and symmetry. Create and verify tessellations of the plane using polygons.
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
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