What Are Rigid Motions?
Read this topicExplanations 5
- A rigid motion is a transformation (of the plane) that "preserves distance". In other words, if AAA is sent/mapped/transformed to A′A'A′ and BBB is sent to B′B'B′, then the dist…
By Victor Wang, Benjamin Qi, Moor Xu, Victor Wang
- Suppose we have some figure drawn on an infinite two-dimensional transparent piece of paper. Let's cut the figure out using a pair of scissors. We can move the cut-out figure ar…
By Vinjai Vale, Moor Xu, Victor Wang
- These transformations (rigid motions) are also known as congruence transformations or isometries. As implied by the name "congruence transformations", these transformations prod…
By That Mathy Potato, Victor Wang
- Examples and Images: Rigid Motions \\ Rigid motions are transformations that preserve lengths and angles. If an object or shape is identical (or congruent) before and after the …
By Christine, Victor Wang
- Simply put, rigid motions are transformations that preserve the side lengths and angles in a shape. You can see any of these transformations by moving an object you may have aro…
By Jonathan Heller, Victor Wang, Sarah Walker
Problems 10
- Are the transformations in the two images above rigid motions?
- Shape A undergoes a couple of transformations consisting of translations and rotations. Is the series of transformations a rigid motion?
- Is the above transformation of triangles a rigid motion?
- Is it possible above to transform one triangle onto the other through a series of rigid motions?
- A square SSS has opposite vertices at the points A=(0,0)A = (0, 0)A=(0,0) and B=(1,1)B = (1, 1)B=(1,1). We decide to transform the square so these two vertices are now at other …
- A rubber ball can be rolled down one of three ramps: Ramp A is 101010 feet tall and has a 555 percent incline; Ramp B is 121212 feet tall and has a 101010 percent incline; Ramp …
- If Benjamin is the subject of the problem, and he is looking in a mirror, then rotates the mirror 909090 degrees, then the image he sees of himself will be an example of: (Selec…
- Which pictures represent rigid motions of a single shape?
- Is the transformation above a rigid motion? If so, what kind?
- Is the above transformation a rigid motion? If so, what kind?