# How to write a sequence of rigid motions to demonstrate

The student is unable to accurately describe a sequence of rigid motions that demonstrates congruence. The student is unable to accurately describe a rigid motion that demonstrates congruence. Examples of Student Work at this Level The student: Writes that the figures are congruent because they look the same.

Describes an incorrect rigid motion e. Questions Eliciting Thinking What are rigid motions? Can you think of any examples of rigid motion? Can you define the word congruence in terms of rigid motion? How might you tell if two figures are congruent? Can you explain this in terms of rigid motion?

Instructional Implications Review the definition of each of the rigid motions: To develop an intuitive understanding of rigid motion, allow the student to experiment with a variety of transformations using transparent paper, interactive websites such as http: Review the definition of congruence in terms of rigid motion.

Explain that two figures are congruent if there is a sequence of rigid motions that carries one figure onto the other.

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Assist the student in applying the definition of congruence in terms of rigid motion to show that two figures are congruent. Provide the student with two congruent figures e. Explain to the student that describing the rigid motion in detail e. Next provide two congruent figures that are related by more than one rigid motion.

Have the student identify and describe the sequence of rigid motions that carries one figure onto the other. Ask the student to perform the sequence of rigid motions to ensure the figures are congruent.

Provide assistance as needed. Moving Forward The student provides only a general description of the rigid motion that demonstrates congruence. Questions Eliciting Thinking Can you describe the translation more specifically?

How many units is the parallelogram being translated and in which direction? What must happen to show that they are congruent? Instructional Implications Explain that a translation is a transformation of the plane.

A transformation along a vector or a vector decomposed into horizontal and vertical translations assigns to each point, P, in the plane an image point,so that the distance from to P corresponds to the magnitude length of the vector and the direction of from P corresponds to the direction of the vector.

Use grid paper to illustrate translations of points and to demonstrate the relationship between a point, its image, and the vector that defines the translation.

Then illustrate translations of more complex figures such as segments, angles, and polygons. Discuss the basic properties of translations e. Encourage the student to be precise when describing translations. Model a concise description of a translation using mathematical terminology.

Then make clear that the figures are congruent because the translation carries one figure onto the other. Provide additional opportunities to show that two figures are congruent by describing a specific rigid motion or sequence of rigid motions that carry one figure onto the other.

Remind the student to include all necessary components in each description, the center and degree of rotation, the line of reflection, or the vector along which a figure is translated. Miscounts the number of units in which the figure is translated e.Mathematics Curriculum Module 1: Congruence, Proof, and Constructions 1 communication when they write the steps that accompany each construction (monstermanfilm.comA.1). Students precisely define the various rigid motions. Students demonstrate polygon congruence, parallel status, and perpendicular status via formal and. Write a sequence of rigid motions that maps ab to xy, please for the love of God don't answer if you don't know it, you will be reported/5(7). Show the student any statements that require justification and ask the student to provide them.

Explain to the student that two triangles can be shown congruent by describing a sequence of rigid motions that results in corresponding vertices coinciding. Demonstrate the ability to rotate, reflect or translate a figure, and determine a possible sequence of transformations between two congruent figures.

Understand congruence in terms of rigid motions. Develop the definition of congruence in terms of rigid motions.

Another important part of the Core Knowledge Sequence is that it is intended to be only half a school's curriculum content.

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Core Knowledge is not a method of teaching, although it has been linked by some to rigid, teacher-directed instruction and labeled as a traditional, .

Sequence Basic Rigid Motions Worksheet Bundle Sequences of basic rigid motions worksheet bundle- Students perform sequences of a translations, reflections, and rotations.