![]() ![]() Step 3 Connect the images of the vertices. Locate the image of each vertex on the opposite side of the line of reflection and the same distance from it. ae 4 Step 2 Measure the distance from each vertex to the line of reflection. _- Step 1 Through each vertex draw a line perpendicular to the line of reflection. Draw the reflection of the quadrilateral across the line. Line of reflection EXAMPLE Drawing Reflections Copy the quadrilateral and the line of reflection. ![]() 824 Chapter 12 Extending Transformational Geometry PITTS CTT A reflection is a transformation across a line, called the line of reflection, so that the line of reflection is the perpendicular bisector of each segment joining each A’ point and its image. Your construction should show that the line of ip reflection is the perpendicular bisector of every segment connecting a point and its image. Draw a segment from each vertex of the preimage to the corresponding vertex of the image. Then unfold reflection on a piece of patty paper. ¢ (\\) Pe aC MH ee Maem Ole Lame elle Draw a triangle and a line of Fold the patty paper back along Trace the triangle. CEE, Tell whether each transformation appears to be a reflection. “(od "le le Yes the image appears No the figure does not appear to be flipped across a line. Identifying Reflections Tell whether each transformation appears to be a reflection. EXAMPLE To review basic transformations, see Lesson 1-7, pages 50-55. A reflection is an isometry, so the image is always congruent to the preimage. The reflected figure is called the image. ![]() Recall that a reflection is a transformation that moves a figure (the preimage) by flipping it across a line. Isometries are also called congruence transformations or rigid motions. Reflections, translations, and rotations are all isometries. (See Example 3.) Vocabulary ii ji fe ion that d h: he shi ize of isometry An isometry is a transformation that does not change the shape or size of a figure. Extending Transformational Geometry 821 Reflections Objective Who uses this? Identify and draw Trail designers use reflections to reflections. Find the measure of each exterior angle of a regular hexagon. Find the sum of the interior angle measures of a convex pentagon. Find the measure of each interior angle of a regular octagon. rectangle PQRS and rectangle UVWX 18 Q xu L| wiv ey) Angles in Polygons 15. ADEG and AFGE D I) Identify Similar Figures Can you conclude that the given figures are similar? If so, explain why. I) Congruent Figures Can you conclude that the given triangles are congruent? If so, explain why. the shape that results from a transformation of a figure ow Ordered Pairs Graph each ordered pair. a quantity that has both a size and a direction. ashape that undergoes a transformation 4. aray that divides an angle into two congruent angles 3. a mapping of a figure from its original position to a new. Chapter Project Online ARE You READY? - ow Vocabulary Match each term on the left with a definition on the right. a A blanket of snow is formed by 5 ir You can use transformations and symmetry to explore snow crystals. : tol ta Congruence Transformations Reflections Translations Rotations Explore Transformations with Matrices Compositions of Transformations Mutri-StTep Test Prep ~ -_- Patterns Symmetry Tessellations Use Transformations to Extend Tessellations Dilations Using Patterns to Generate Fractals Mutri-StTep Test Prep ~ -_- Let it Snow! trillions of symmetric crystals. ¡Descarga Chapter 12 (Interactive) y más Ejercicios en PDF de Geometría solo en Docsity!CHAPTER 12-1 12-2 12-3 Lab 12-4 12-5 12-6 Lab 12-7 Ext = Seen lil oe Z Transformational. ![]()
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