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Determining Properties of Quadrilateral JKLM: Parallelogram, Rectangle, Rhombus, Square

In this mathematical exercise, we will explore how to determine the properties of quadrilateral JKLM, given its vertex coordinates. Without the aid of graph paper, we will answer the following questions: a) Is JKLM a parallelogram? b) Is JKLM a rectangle? c) Is JKLM a rhombus? d) Is JKLM a square? Each answer will be mathematically justified to ensure clarity. Additionally, we will also examine another quadrilateral ABCD to accurately describe its classification among parallelograms, rectangles, rhombuses, and squares.

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Determining Properties of Quadrilateral JKLM: Parallelogram, Rectangle, Rhombus, Square

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Presentation Transcript

  1. Warm Up What is the easiest way to determine if JKLM is a parallelogram if:

  2. Open Notebook Quiz Review

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  8. A quadrilateral has vertices located at the following coordinates: Without graphing on graph paper, answer each of the following and mathematically justify your answer: a. Is JKLM a parallelogram? b. Is JKLM a rectangle? c. Is JKLM a rhombus? d. Is JKLM a square?

  9. a. Is JKLM a parallelogram?

  10. b. Is JKLM a rectangle?

  11. c. Is JKLM a rhombus?

  12. d. Is JKLM a square?

  13. Homework: Quadrilateral ABCD has the following vertices: Which of the following most accurately describes ABCD? You must justify your answer. Quadrilateral Parallelogram Rectangle Rhombus Square

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