Is the resulting transformation a translation or a rotation? For a translation, describe the distance and direction. What are the coordinates of the vertices of r(270º,T)(∆RST)?ĭo the following figures have rotational symmetry? If yes, what is the degree of rotation? 9.Ĭompositions of Transformations: CLASSWORKįind the image of each letter after the transformation Rm º Rℓ. Explain how the transformation r(90º, O)(ABCD) = BCDA can be used to show that the quadrilateral is square.Ĩ. The vertices of quadrilateral ABCD have coordinates A(4, 3), B(–3, 4), C(–4, – 3), and D(3, – 4). What are the coordinates of the vertices of KLMN?ħ. What are the coordinates of the vertices of r (90º, O)(PQRS)?Ħ. Find the image of the given point or segment for the given rotation. Point O is the center of regular hexagon ABCDEF. Use prime notation to label the vertices of the image. Rotations: HOMEWORK Draw the image of each figure for the given rotation about P. What are the coordinates of the vertices of r(– 270º, G)(∆FGH)?ĭo the following figures have rotational symmetry? If yes, what is the degree of rotation? 9. Which of the following quadrilaterals is r(180º, O)(ABCD)? a. What are the coordinates of the vertices of DEFG?ħ. What are the coordinates of the vertices of r (180º, O)(ABCD)?Ħ. Point O is the center of regular pentagon JKLMN. Rotations: CLASSWORK Draw the image of each figure for the given rotation about P. Identify all of the lines of symmetry for the given shape. Give an example of a place you may see a geometric reflection in everyday life (Different than your classwork answer). Find the image of K(4, -3) after two reflections, first across line ℓ1, and then across line ℓ2. Given points D(-2, 1), E(1, 3), and F(2, -2), graph ΔDEF and its reflection image as indicated. Identify all of the lines of symmetry for the given shape.įor numbers 1-6 find the coordinates of each image.ħ. Give an example of a place you may see a geometric reflection in everyday life. Find the image of J(-2, 1) after two reflections, first across line ℓ1, and then across line ℓ2. Rx-axis (ΔABC)ĭraw the line of reflection you can use to map one figure onto the other. Given points A(3, 3), B(5, -2), and C(4, 4), graph ΔABC and its reflection image as indicated. Reflections: CLASSWORK For numbers 1-6 find the coordinates of each image. Write three different translation rules for which the image of ΔBCD has a vertex at the origin. After a translation the coordinates of A′ are (6, –2). If T (ΔLMN) = ΔL’M’N’, what translation maps ΔL’M’N’ onto ΔLMN?ĥ. Translations: Homework Graph the image of each figure under the given translation. Write three different translation rules for which the image of ΔABC has a vertex at the origin. What are the coordinates for Y′ and Z′ for this translation?Ħ. If T (QRST) = Q′R′S′T’, what translation maps ′Q′R′S′T’ onto QRST?ĥ. Write a rule to describe the translation.Ĥ. Translations: CLASSWORK Graph the image of each figure under the given translation. Transformations: HOMEWORK Tell whether the transformation appears to be a rigid motion. Transformations Transformations: CLASSWORK Tell whether the transformation appears to be a rigid motion.
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