Transformational Geometry

Translations

100

What do you do to a figure when you translate it?

Slide it

200

What directions can you slide a figure for a translation?

Up, Down, Left, Right, or Diagonally

300

If point A is at (2,2) and you translate it left 5 units, what would the point at A' be?

(-3,2)

400

If point J is at (3,-4) and you translate it left 5 units & up 7 units, what would the point at J' be?

(-2,3)

500

If point W is at (-5,0) and first you translate it right 7 units & up 3 units then you translate it left 2 units & down 3 units, what would the point at W' be?

(0,0) or the origin

Reflections

100

What does it mean to reflect an image?

Flip it

200

If your pre-image figure is in quadrant III and you reflect it across the y axis, what quadrant would your image be in?

Quadrant IV

300

If point A is located at (5,6) and it is reflected across the x-axis, what would point A' be?

(5,-6)

400

If point K is located at (-2,-4) and it is reflected across the y-axis then reflected across the x-axis, what point would K' have?

(2,4)

500

If point X is located at (-5,-5) and it is translated 8 units to the right and 2 units up then it is reflected across the y-axis, what would the point for X' be?

(-3,-3)

Rotations

100

When you rotate a figure, what are you doing to the figure?

Spin it

200

If you pre-image is located in quadrant II and you rotate it counter clockwise 90 degrees, what quadrant would your image be located in?

Quadrant III

300

If your pre-image is located in quadrant III and it is rotated 180 degrees, what quadrant would your image be located in?

Quadrant I

400

If you have point G at (-3,2) and you rotate it 90 degrees clockwise, what would the point G' be?

(2,3)

500

If you have point Q at (1,-4) and it is translated left 3 units & up 5 units, then rotated 180 degrees, what point would Q' be?

(2, -1)

Dilation

100

What do you do when you dilate?

Change the size of the object by a scale factor

200

What does similar mean?

Same shape, different size

300

If you have a point (3, 4) and dilate it by a scale factor of 3, then what is the prime point's coordinate?

(9, 12)

400

If point B is at (10, 4) and it is dilated by a scale factor of 1/2, then what is the coordinate of B'?

(5, 2)

500

What is a transformation AND what are the 4 examples of transformations we have learned so far?

A transformation is changing the pre-image to an image by sliding, flipping, spinning, and resizing a figure - The 4 transformations we have learned so far are: Translation, Reflection, Rotation, and Dilation

Algebraic Directions

100

If you have point (x,y) and you are asked to move the point a units to the right and b units down, what would your new point be?

(x+a,y-b)

200

If you have point (x,y) and you are asked to reflect it over the x-axis, what would your new point be?

(x,-y)

300

If you have point (x,y) and you are asked to rotate it 180 degrees, what would your new point be?

(-x,-y)

400

If you had point (x,y) and you were asked to rotate it clockwise 90 degrees, what would your new point be?

(y,-x)

500

Give the algebraic movement for ALL of the following: Translation, Reflection across the x-axis, Reflection across the y-axis, Rotation clockwise 90 degrees, Rotation counter clockwise 90 degrees, Rotation 180 degrees

Translation - (x,y) --> (x±a,y±b), Reflection(X) - (x,y)--> (x,-y), Reflection (Y) - (x,y)--> (-x,y), Rotation (90) - (x,y)--> (y,-x), Rotation (270) - (x,y)--> (-y,x), Rotation (180) - (x,y)--> (-x,-y)