Transformations Project Neslie Y. Canales-Silva

TEKS Grade: Kindergarten Geometry and Measurement. The student is expected to: (A) identify two-dimensional shapes, including circles, triangles, rectangles, and squares as special rectangles. Geometry and spatial reasoning. The student describes the relative positions of objects. The student is expected to: (A) describe one object in relation to another using informal language such as over, under, above, and below; and (B) place an object in a specified position.

Transformation Moving a shape so that it is in a different position, but still has the same size, area, angles and line lengths. These are Transformations: Translation, Reflection, and Rotation.

Example Turn, flip or slide are the basic moves. This is an example of a turn (rotational) Transformation.

LINK Try Here: http://www.mathsisfun.com/geometry/transformations.html

Translation Is a transformation motion of a plane that moves every point of the plane a specified distance in a specified direction along a straight line. Simply means moving without rotating, resizing or anything else, just moving.

Example Every point of the shape must move: the same distance in the same direction. This is an example of a Translation.

LINK Try Here: http://www.mathsisfun.com/geometry/translation.html

Reflection Is line, L, a transformation from the plane to the plane that pairs each point, P, with a point, P, in such a way that, L, is the Perpendicular Bisector of, PP1, as long as, P, is not, L. If, P, is on, L, then P=P1. Every point is the same distance from the central line and the reflection has the same size as the original image. The central line is called the Mirror Line. A reflection is a flip over a line.

Example The reflected image is always the same size, it just faces the other way. This is an example of a Reflection.

LINK Try Here: http://www.mathsisfun.com/geometry/reflection.html

Rotation Is a transformation of a plane determine by holding one point, the center, fixed and rotating the plane about this point by a certain direction (a certain number of degrees either clockwise or counter clockwise). Means turning around a center. The distance from the center to any point on the shape stays the same.

Example Every point makes a circle around the center. This is an example of a Rotation.

LINK Try Here: http://www.mathsisfun.com/geometry/rotation.html