Geometry Ch 12 Review Jeopardy Name the transformation Know the Rules! Definitions Transform it! 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; a glide or slide of a figure that doesn’t change the shape, size, or orientation.

$400 Question Definitions Define Isometry

A transformation that does not change the size or shape of a figure $400 Answer Definitions A transformation that does not change the size or shape of a figure

$600 Question Definitions Define Image

The figure that is transformed. The new figure. $600 Answer Definitions The figure that is transformed. The new figure.

$800 Question Definitions What is the definition of Glide reflection?

A composite transformation of translation and 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)

Reflection over y-axis $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.

The rule for this transformation is $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.

The rule for this transformation is $1000 Answer Know the Rules! The rule for this transformation is (x, y) → (x, y)

Does the figure have line symmetry? If so, draw all lines of symmetry. $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

(2, -4). What is the translation vector? $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>