Geometry Ch 12 Review Jeopardy Definitions Name the transformation Transform it! Know the Rules! Potpourri Q $200 Q $200 Q $200 Q $200 Q $200 Q $400 Q $400 Q $400 Q $400 Q $400 Q $600 Q $600 Q $600 Q $600 Q $600 Q $800 Q $800 Q $800 Q $800 Q $800 Q $1000 Q $1000 Q $1000 Q $1000 Q $1000 Final Jeopardy $200 Question Definitions Definition of Translation $200 Answer Definitions A transformation where all points are moved the same distance in the same direction $400 Question Definitions Define Isometry $400 Answer Definitions A transformation that does not change the size or shape of a figure $600 Question Definitions Define Image $600 Answer Definitions The figure that is transformed. $800 Question Definitions What is the definition of Glide reflection? $800 Answer Definitions A composite transformation of translation and reflection $1000 Question Definitions What is the definition the order of rotation? $1000 Answer Definitions The number of times the figure coincides with itself as it rotates through 360o $200 Question Name the Transformation $200 Answer Name the Transformation Rotation $400 Question Name the Transformation $400 Answer Name the Transformation Translation $600 Question Name the Transformation $600 Answer Name the Transformation Dilation $800 Question Name the Transformation $800 Answer Name the Transformation Reflection $1000 Question Name the Transformation $1000 Answer Name the Transformation Glide Reflection $200 Question Transform It! Point A is at (4, -5). Find A’ after a translation along the vector <-6, 4>. $200 Answer Transform It! (-2, -1) $400 Question Transform It! Point A is at (-7, 1). Find A’ after a reflection across the line y = x. $400 Answer Transform It! (1, -7) $600 Question Transform It! Point A is at (8, -2). Find A’ after a rotation by 90° counterclockwise about the origin. $600 Answer Transform It! (2, 8) $800 Question Transform It! Point A is at (3, -6). Find A’ after a dilation of -1/3 about the origin. $800 Answer Transform It! (-1, 2) $1000 Question Transform It! Point A is at (3, -6). Find A’ after a reflection over the line y = -x and then a translation along the vector <-4, -4>. $1000 Answer Transform It! (2, -7) $200 Question Know the Rules! The rule for this transformation is (x, y) → (-x, y) $200 Answer Know the Rules! Reflection over y-axis $400 Question Know the Rules! The rule for this transformation is (x, y) → (y, -x) $400 Answer Know the Rules! 90° clockwise rotation OR 270° counterclockwise rotation about the origin $600 Question Know the Rules! The rule for this transformation is (x, y) → (-y, -x) $600 Answer Know the Rules! Reflection over y = -x $800 Question Know the Rules! Write the rule you would use to find the image coordinates of (x, y) under a translation of 2 units right and 1 unit down. $800 Answer Know the Rules! The rule for this transformation is (x, y) → (x + 2, y – 1) $1000 Question Know the Rules! Write the rule you would use to find the image coordinates of (x, y) under a dilation with scale factor = -1 followed by 180° rotation about the origin. $1000 Answer Know the Rules! The rule for this transformation is (x, y) → (x, y) $200 Question Potpourri Does the figure have line symmetry? If so, draw all lines of symmetry. $200 Answer Potpourri Yes, 2 lines of symmetry. $400 Question Potpourri Does the figure have rotational symmetry? If so, give the angle of rotational symmetry and the order of symmetry. $400 Answer Potpourri Yes, Angle of rotation = 72°, Order = 5 $600 Question Potpourri A translation can be interpreted as successive reflections across two lines. Tell what relationship the lines must have for this to be true. $600 Answer Potpourri They must be parallel $800 Question Potpourri The pre-image is (10, -8), the image is (2, -4). What is the translation vector? $800 Answer Potpourri <-8, 4> $1000 Question Potpourri What is the scale factor of a dilation centered at the origin that maps A(5, -6) to A’(-15.5, 18.6)? $1000 Answer Potpourri k = -3.1 Final Jeopardy A hiker walks 2 miles east and then 1 mile north, then hikes 4 miles east and sets up camp. What vector describes their hike from their starting position to their camp? <6, 1>