What is the glide reflection Rule?

What is the glide reflection Rule?

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.

What is a reflected tessellation?

When you cut a shape out of paper, then flip it over, the flipped shape looks like a mirror image of the original shape. So a tessellation made with this technique is called a reflection tessellation.

What is glide reflection example?

A typical example of glide reflection in everyday life would be the track of footprints left in the sand by a person walking on a beach. For any symmetry group containing some glide reflection symmetry, the translation vector of any glide reflection is one half of an element of the translation group.

Does the order of a glide reflection matter?

The order does not matter with a glide reflection, either transformation can go first to get the final image. In the example, the pre-image on both the left and right side are blue. In the left example the pre-image is first reflected over the line of reflection then is followed by a slide down.

Which pattern has translation and glide reflection symmetry?

According to Conway, F1 is also called a HOP. The second frieze group, F2, contains translation and glide reflection symmetries.

What are the 3 rules of tessellation?

REGULAR TESSELLATIONS:

• RULE #1: The tessellation must tile a floor (that goes on forever) with no overlapping or gaps.
• RULE #2: The tiles must be regular polygons – and all the same.
• RULE #3: Each vertex must look the same.

Are glide reflections congruent?

Think about it: in the CCSSM, two figures are deemed congruent if one is the image of the other in “a sequence of rotations, reflections, and translations”. What this theorem tells us is that if there is such a sequence, then it is equal to a single rotation, reflection, translation, or glide reflection.

Do all Pentominoes tessellate?

Any one of the 12 pentominoes can be used as the basis of a tessellation. With most of them (I, L, N, P, V, W, Z) it is easy to see how it can be done. But the F, T, U and X are a little more difficult and, if you are not careful, you will soon find ‘holes’ in your tessellation. 6.

What is a horizontal glide reflection?

A glide reflection is the figure that occurs when a pre-image is reflected over a line of reflection then translated in a horizontal or vertical direction (or even a combination of both) to form the new image.

How do you use glide reflection?

Students use glide reflection to create a shape that will tessellate and is the profile of a face, and then use the shape to create a design filled with people coming and going. Draw 4 squares on your paper.

What is a tessellation?

A tessellation is a repeating pattern of shapes that can continue infinitely on a plane—a flat surface. This pattern must first have no gaps or holes between shapes, and second have no overlaps between shapes. Which of the following four patterns meet are tessellations?

Does the Order of transformation matter when performing a glide reflection?

When we perform a glide reflection on a geometric figure, we perform a reflection and a translation, but does it matter in what order we do this? The answer is no: The order of these transformations does not matter. Consider the picture of our glide reflection above.

How can you tell if your feet are a glide reflection?

If you observe your footprints when walking in the sand or when you’ve got muddy feet and leave prints, you can see that they look like a glide reflection because the steps are like a glide of the foot shape, and your two feet are like mirror reflections of each other.