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Transformational Geometry

Math
by

Sponge Bob

on 19 March 2014

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Transcript of Transformational Geometry

Reflections, Translations, Rotations, and Symmetry TRANSFORMATIONAL GEOMETRY WHAT IS SYMMETRY? REFLECTIONS Translations are also known as slides. To do one, you
simply move the shape in one direction. A translation is
very simple, and here are the steps.

First, you draw a figure parallel to the first figure. If you use lines, they all have to be moving in the same distance and direction as shown in the picture above.

And that's all! Translating only means sliding or moving in one direction, without rotating or reflecting. You can tell this transformation happened if you see the image of the figure is parallel and facing the same direction as the figure. TRANSLATIONS A rotation is also known as a turn. It is more easy to do a rotation if you use grid paper and a dot.

First, you draw a figure and put a dot on one of the vertices as a turning point.
Then, turn the figure about the dot in whichever direction you want: in the picture, it has been rotated a 1/4 turn counterclockwise.

You can figure out this transformation occurred by using a stencil of the figure to check if the image is in the right place. ROTATIONS WHAT ARE TRANSFORMATIONS? Transformations are when you move a shape so it's
in a different position, but is still congruent- in the same
size and shape. The three basic moves are Reflections,
Translations and Rotations. Reflections are also known as flips. To do this transformation you must use a mirror line to assist you in reflecting the figure.

First, measure how many squares (on grid paper) are between the vertex and the mirror line.
Then, draw a line from this vertex to the mirror line. Do this to all the vertices.
Next measure the same distance on the other side and mark a dot there.
Lastly, connect the dots to draw the reflected figure.

It is easy to find out if a reflection has happened. You can check by folding the piece of paper on the mirror line to see if the two figures match. You can tell by looking first if the figure can be divided in two parts. if it cannot, then those are not symmetrical figures. Then you can use a ruler to
check the other figures for lines of symmetry. Once you find one, mark it with a pencil. After checking the figure for lines, count how many you have marked. That will be the number of lines of symmetry. THE END! image figure Symmetry is when a figure has been divided into two congruent parts. A symmetrical figure has one or more lines of symmetry. An asymmetrical line is a line that divides up a figure, but not in congruent parts. HOW TO TELL HOW MANY LINES
OF SYMMETRY A FIGURE HAS
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