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Primary Type: Problem-Solving Task Status: Published This is a resource from CPALMS (www.cpalms.org) where all educators go for bright ideas! Resource ID#: 42296 A Rectangle in the Coordinate Plane This task provides an opportunity to apply the Pythagorean theorem to multiple triangles in order to determine the length of the hypotenuse; the converse of the Pythagorean theorem is also required in order to conclude that certain angles are right angles. A rectangle in the coordinate plane (Microsoft Word): This file includes the task and related information in Microsoft Word format. A rectangle in the coordinate plane (PDF): This file includes the task and related information in PDF format. Subject(s): Mathematics Grade Level(s): 8 Intended Audience: Educators , Parents Freely Available: Yes Keywords: A rectangle in the coordinate plane, plane, rectangle, coordinate, cpalms, icpalms, illustrativemathematics.org, illustrative mathematics, tasks, mathematics, math, Florida standards, resource, free, freely available, problems-based learning, student activities Resource Collection: Illustrative Mathematics SOURCE AND ACCESS INFORMATION Contributed by: Brian Carmichael Name of Author/Source: Brian Carmichael District/Organization of Contributor(s): Is this Resource freely Available? Yes Access Privileges: Public License: CPALMS License - no distribution - non commercial Related Standards Name MAFS.8.G.2.7: Description Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. Remarks/Examples: Examples of Opportunities for In-Depth Focus The Pythagorean theorem is useful in practical problems, relates to grade-level work in irrational numbers and plays an important role mathematically in coordinate geometry in high school. MAFS.8.G.2.8: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. page 1 of 1