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WSP Diagonals to Quadrilaterals

  • Diagonals to Quadrilaterals

    Grade: High School

    This interactive allows users to investigate three types of quadrilaterals; ones with: perpendicular bisectors, congruent perpendicular bisectors, and congruent bisectors.

    Activity

     
    Web Sketchpad Copyright © 2015 KCP Technologies, a McGraw-Hill Education Company. All rights reserved.
    Release: 2015Q2, Semantic Version: 4.2.0, Build Number: 911.6-r, Build Stamp: dn.kcptech.com/20150706050244
    Activity Contents Copyright © 2015 National Council of Teachers of Mathematics. All rights reserved.

    Instructions

    How to Use

    • Use the red points each quadrilateral to rotate and dilate the shape.
    • You can drag shapes around the workspace by dragging a side of the quadrilateral.

    Buttons

    • The show/hide buttons will display or hide the specified bisectors along with measurements.

    Exploration

    • Which quadrilateral(s) have perpendicular bisectors?
      • Which of those quadrilateral(s) have congruent perpendicular bisectors?
    • Which quadrilateral(s) have congruent bisectors?

    Objectives and Standards

    NCTM Standards and Expectations
    • Geometry / Measurement
    • Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
    • High School (9-12)
    • Geometry
    • Measurement