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Write a sequence of transformations that maps quadrilateral properties

For example, both objects have a face with the counterclockwise color order blue, magenta, white, cyan. How linear transformations map parallelograms and parallelepipeds Suggested background Linear transformations The notion of linearity plays an important role in calculus because any differentiable function is locally linear, i.

You can experiment with this mapping by a linear transformation in the following applet. Video lesson. To get from C to C', do this again.

A simple translation will not be good enough. No explanation is needed. The order of the colors on corresponding faces, when moving in a counterclockwise direction, is the same for both the cube and the parallelepiped. Explain why Answer: Yes, because a translation is a rigid motion, which preserves shape and size.

More information about applet.

An example of such a three-dimensional linear transformation is shown in the following applet. The corresponing angles are congruent, and the corresponding sides are congruent, so the triangles are congruent. To get from D to A, go down 1 unit and 3 left. We can conclude that linear transformations map parallelepipeds onto parallelepipeds. More information about applet. Work must be shown or explained. To get from C to C', do this again. So, if a polygon has x sides, then the same polygon can form x - 2 triangles. The order of the colors on corresponding faces, when moving in a counterclockwise direction, is the same for both the cube and the parallelepiped. Just the graph, with labels. Explain why Answer: Yes, because a translation is a rigid motion, which preserves shape and size. When you reverse a figure it is called a reflection. When you slide a figure in different ways, e. Partial credit can be given. See image below.Each image is twice as far away from D as the original point was. Triangle ABC and point D 1,2 are graphed on the set of axes below.

C' is 7, -4 To get from B to B', do this again.

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Write a sequence of transformations that maps quadrilateral ABCD onto