G-CO.1.3

Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.

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Formative Assessments
Formative Assessments
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Students are asked to use a compass and straightedge to construct a circumscribed circle of an acute scalene triangle.
Circumscribed Circle Construction
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Students are asked to use a compass and straightedge to construct an inscribed circle of an acute scalene triangle.
Inscribed Circle Construction
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Students are asked to prove that opposite angles of a quadrilateral, inscribed in a circle, are supplementary.
Inscribed Quadrilaterals
Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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Rotate shapes and their images with or without a background grid and axes.
Transformations – Rotation
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The user clicks and drags a shape they have constructed to view its reflection across a line. A background grid and axes may or may not be used. The reflection may by examined analytically using coordinates. Symmetry may be displayed.
Transformations – Reflections
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Assessment Questions
Assessment Questions
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Videos of Expert Instruction
Videos of Expert Instruction
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Math Literature
Math Literature
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Students begin by using the context of skytyping to create a message and translate it into a set of coordinates.
How Do Skytypers Write Messages?
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This task provides an opportunity to examine the taxonomy of quadrilaterals from the point of view of rigid motions.
Symmetries of a Quadrilateral I
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This task is intended primarily for instructional purposes. It provides a concrete geometric setting in which to study rigid transformations of the plane.
Seven Circles II
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This task examines quadrilaterals from the point of view of rigid motions and complements.
Symmetries of a Quadrilateral II
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This task examines the rigid motions which map a rectangle onto itself. The emphasis here is on careful reasoning using the definitions of reflections and rotations.
Symmetries of Rectangles
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The goal of this task is to study the geometry of reflections in the context of paper folding.
Origami Regular Octagon