O 9. 02.05 Rigid Motion and Congruence notes Essential Questions After completing this lesson, you will be able to answer the following questions: How do you connect the ideas of congruency and rigid motion? WORD DOCUMENT. Complete the congruence statement: MATH A b. Find a sequence o f rigid mo tions that maps one figure to the other. A reflection produces a mirror image of a figure. A rigid motion is also called a congruence transformation since it maintains the size and shape of the object in the coordinate plane. (1979) Rigid Motions and Congruence. Cite this chapter as: Thorpe J.A. Congruence You can tell two triangles are congruent by using rigid motions to place one triangle on top of the other. WORD DOCUMENT. Assessment Unit 2 Assessment Form A PDF DOCUMENT. In: Elementary Topics in Differential Geometry. a. A type of transformation where a figure is “flipped” over a line of symmetry. •The rigid motion definition is a clear, unambiguous concept. Warm-up 1. ! EQ: How do we use the definition of congruence in terms of rigid motions to show that two triangles are congruent? PDF ANSWER KEY. a. WORD DOCUMENT. Undergraduate Texts in Mathematics. Finding a Sequence of Rigid Motions The definition of congruence tells you that when two figures are known to be congruent, there must be some sequence of rigid motions that maps one to the other. The two quadrilaterals shown at right are congruent. This gives meaning to congruence of any shapes, from polygons to ellipses and parabolas, to fractals with an easy extension to digital photos. WORD ANSWER KEY. HSG-CO.B.8. Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. Assessment Unit 2 Assessment Form B PDF DOCUMENT. Unit 2 Review – Transformations, Rigid Motions, and Congruence PDF DOCUMENT. Q. 8. Congruence in Terms of Rigid Motions Unit 2C Day 1 . PDF ANSWER KEY. Complete the congruence statement: JKL b. Describe a rigid motion that would take the first figure onto the second. how to use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent, Common Core High School: Geometry, HSG-CO.B.6, lines, rigid motion, rotation, reflection, translation How does the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions? Describe a rigid motion that would take the first figure onto the second. Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. Rigid Motion: Translation (x, y)→(x+5, y+1) Example 9: Give coordinate notation for the PDF ANSWER KEY. However, there is an easier way to look at two triangles and tell they are congruent if you are given certain angles and side lengths of both triangles. Example The figures sh own are congruent. Rigid Transformations And Congruence - Displaying top 8 worksheets found for this concept.. WORD ANSWER KEY.
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