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This algebra 1 math tutorial from NutshellMath offers targeted homework help with transformations on the coordinate plane. The instruction is focused on homework problems 5 and 18 on pages 200 and 201 of the Algebra 1 text from Glencoe Mathematics.
Transformations on the coordinate plane are systematic operations applied to every point in a figure. A transformation will map each point of the initial figure, known as the pre-image, to a new point, creating a new image from the data. There are several different kinds of transformations, including translations, reflections, rotations, and dilations.
This tutorial focuses upon reflections over the x-axis. A reflection maps each point of a pre-image an equal distance from a given line, but on the opposite side of the line. The result is a reflected image, as if the pre-image had been flipped over the line to a new orientation. Reflections over the x-axis are a simple type of reflection. In order to reflect an image over of the x-axis, it is necessary only to reverse the sign of the y-coordinate of each of the vertices and re-graph the transformed points. The resulting image will have been reflected over the x-axis.
Reflections over the x-axis are simple, since the x-axis is the same as the line y-0. Because of this, the distance of each vertex of the pre-image from the line over which it is being reflected is simply the y-coordinate of that vertex. This is why it is only necessary to switch the sign of the y-coordinate to complete the reflection.
The instruction in this tutorial offers an introduction to working with transformation problems. Mastering simple transformations is a step towards solving more complicated problems, including reflections over other lines, and compound transformation.
This algebra 1 math tutorial from NutshellMath offers targeted homework help with transformations on the coordinate plane. The instruction is focused on homework problems 5 and 18 on pages 200 and 201 of the Algebra 1 text from Glencoe Mathematics.
Transformations on the coordinate plane are systematic operations applied to every point in a figure. A transformation will map each point of the initial figure, known as the pre-image, to a new point, creating a new image from the data. There are several different kinds of transformations, including translations, reflections, rotations, and dilations.
This tutorial focuses upon reflections over the x-axis. A reflection maps each point of a pre-image an equal distance from a given line, but on the opposite side of the line. The result is a reflected image, as if the pre-image had been flipped over the line to a new orientation. Reflections over the x-axis are a simple type of reflection. In order to reflect an image over of the x-axis, it is necessary only to reverse the sign of the y-coordinate of each of the vertices and re-graph the transformed points. The resulting image will have been reflected over the x-axis.
Reflections over the x-axis are simple, since the x-axis is the same as the line y-0. Because of this, the distance of each vertex of the pre-image from the line over which it is being reflected is simply the y-coordinate of that vertex. This is why it is only necessary to switch the sign of the y-coordinate to complete the reflection.
The instruction in this tutorial offers an introduction to working with transformation problems. Mastering simple transformations is a step towards solving more complicated problems, including reflections over other lines, and compound transformation.