Get 1 Name Date 91 Period Study Guide And Intervention Reflections Draw Reflections The Transformation

A reflection occurs when we flip an object or shape across a line. Like a mirror, the object is exactly the same size but everything is in the opposite position. In other words, what was on the left will now be on the right and vice versa.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

A glide reflection is a composition of transformations.In a glide reflection, a translation is first performed on the figure, then it is reflected over a line. Therefore, the only required information is the translation rule and a line to reflect over. A common example of glide reflections is footsteps in the sand.

A glide reflection is the composition of translation (aglide) and a reflection across a line parallel to the direction of translation.

A reflection is a transformation that acts like a mirror: It swaps all pairs of points that are on exactly opposite sides of the line of reflection. The line of reflection can be defined by an equation or by two points it passes through.

Reflection is when light bounces off an object. If the surface is smooth and shiny, like glass, water or polished metal, the light will reflect at the same angle as it hit the surface. This is called specular reflection.

A glide reflection is a transformation that is the combination of a translation and a reflection. The shape is both slid and reflected to get the final image. The order does not matter with a glide reflection, either transformation can go first to get the final image.

What is a composition of a reflection and a translation? A composition of transformations is two or more transformations performed consecutively on the same figure. The result of a reflection followed by a translation is known as a glide reflection.

Glide Reflections When two transformations are applied to a figure, one after another, the total transformation is a composition of transformations. A glide reflection is a translation followed by a reflection in a line parallel to the translation vector. Notice that the composition of isometries is another isometry.