The mirror line serves as a mirror on the graph. The code for the Geogebra pages is derived from user mschreiner13's sheets. So, what is a reflection in geometry It is flipping of a point or an entire shape over a mirror line. Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point). Specify a sequence of transformations that will carry a given figure onto another. Specify a sequence of transformations that will carry a given figure onto another. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. A line that plays the role of a two-way mirror to give the image of. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).ĭevelop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. Reflection is a transformation that has a mirror image about a line as a two-way mirror. Represent transformations in the plane using, e.g., transparencies and geometry software describe transformations as functions that take points in the plane as inputs and give other points as outputs. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. This lesson addresses (in an introductory DOK 1-2 fashion) the following CCSM standards: Good luck!Ī less formal exploration of rigid transformations intended as a nearly self-contained 2 hour long lesson for use in an introduction to high school geometry unit. You could also use the verto cera spell instead if you already know how to use it.Ĭlick on the right arrow at the bottom, or click on "Exploring Translations 1" to get started. Notice the arrows on the bottom of the page? Use these arrows to move between pages. You will learn how to perform spells such as verto figura and many others.
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