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Geometry Ch 12 Review Jeopardy

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Presentation on theme: "Geometry Ch 12 Review Jeopardy"— Presentation transcript:

1 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

2 $200 Question Definitions
Definition of Translation

3 $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.

4 $400 Question Definitions
Define Isometry

5 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

6 $600 Question Definitions
Define Image

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

8 $800 Question Definitions
What is the definition of Glide reflection?

9 A composite transformation of translation and reflection
$800 Answer Definitions A composite transformation of translation and reflection

10 $1000 Question Definitions
What is the definition the order of rotation?

11 $1000 Answer Definitions The number of times the figure coincides with itself as it rotates through 360o

12 $200 Question Name the Transformation

13 $200 Answer Name the Transformation
Rotation

14 $400 Question Name the Transformation

15 $400 Answer Name the Transformation
Translation

16 $600 Question Name the Transformation

17 $600 Answer Name the Transformation
Dilation

18 $800 Question Name the Transformation

19 $800 Answer Name the Transformation
Reflection

20 $1000 Question Name the Transformation

21 $1000 Answer Name the Transformation
Glide Reflection

22 $200 Question Transform It!
Point A is at (4, -5). Find A’ after a translation along the vector <-6, 4>.

23 $200 Answer Transform It! (-2, -1)

24 $400 Question Transform It!
Point A is at (-7, 1). Find A’ after a reflection across the line y = x.

25 $400 Answer Transform It! (1, -7)

26 $600 Question Transform It!
Point A is at (8, -2). Find A’ after a rotation by 90° counterclockwise about the origin.

27 $600 Answer Transform It! (2, 8)

28 $800 Question Transform It!
Point A is at (3, -6). Find A’ after a dilation of -1/3 about the origin.

29 $800 Answer Transform It! (-1, 2)

30 $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>.

31 $1000 Answer Transform It! (2, -7)

32 $200 Question Know the Rules!
The rule for this transformation is (x, y) → (-x, y)

33 Reflection over y-axis
$200 Answer Know the Rules! Reflection over y-axis

34 $400 Question Know the Rules!
The rule for this transformation is (x, y) → (y, -x)

35 $400 Answer Know the Rules! 90° clockwise rotation OR 270° counterclockwise rotation about the origin

36 $600 Question Know the Rules!
The rule for this transformation is (x, y) → (y, x)

37 $600 Answer Know the Rules! Reflection over y = x

38 $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.

39 The rule for this transformation is
$800 Answer Know the Rules! The rule for this transformation is (x, y) → (x + 2, y – 1)

40 $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.

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

42 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.

43 $200 Answer Potpourri Yes, 2 lines of symmetry.

44 $400 Question Potpourri Does the figure have rotational symmetry? If so, give the angle of rotational symmetry and the order of symmetry.

45 $400 Answer Potpourri Yes, Angle of rotation = 72°, Order = 5

46 $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.

47 $600 Answer Potpourri They must be parallel

48 (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?

49 $800 Answer Potpourri <-8, 4>

50 $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)?

51 $1000 Answer Potpourri k = -3.1

52 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?

53 <6, 1>


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