Translations
DOUBLE JEOPARDY
What do you do to a figure when you translate it?
You move it left, right, up and/or down. (The image slides!)
What does it mean to reflect an image?
Flip it
When you rotate a figure, what are you doing to the figure?
Turn it!
When you dilate a shape, what do you do to it?
What is a pre-image?
The original image
What is mapping notation?
It tells you how a shape is moving algebraically.
(x+ , y+ )
DOUBLE JEOPARDY
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
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
Are shapes congruent after dilation?
NO!! They are different sizes, so they cannot be congruent.
What does congruent mean?
Same side lengths & angle measurements. {or: same size and shape}
Create a mapping notation for the following description:
Translate a figure 7 units right and 3 units down
(x+7, y-3)
What changes between the pre-image and the image after reflecting?
The orientation of the shape will be different!
If you have point (x,y) and you are asked to rotate it 180 degrees, what would your new point be?
(-x, -y)
Complete the sentence:
In order for a shape to GROW in size, the scale factor .....
must be greater than 1.
DOUBLE JEOPARDY
What is the line of symmetry?
It is the line that a figure is being reflected over.
If point J is at (3, -4) and you translate it left 5 units and up 7 units, what would the point at J' be?
J' (-2, 3)
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?
K' (2, 4)
If you have point G at (-3,2) and you rotate it 90 degrees clockwise, what would the point G' be?
G' (2, 3)
DOUBLE JEOPARDY
If you have point C at (-2, 4) and you dilate it with a scale factor of 6, what would the point C' be?
C' (-12, 24)
What is a scale factor?
The number you multiply in order to dilate an image.
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
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?
X' (-3, -3)
DOUBLE JEOPARDY
If you have point Q at (1,-4) and it is translated left 3 units & up 5 units then it is reflected across the y-axis and finally rotated 180 degrees, what point would Q' be?
Q' (-2, -1)
If you have point P at (28, -14) and it is dilated with scale factor 1/2 then it is reflected across the y-axis, what point would P' be?
P'(-14, -7)
What is a transformation AND what are the 3 examples of transformations we have learned so far?
A transformation is changing the pre-image to an image by sliding, flipping, turning a figure OR making it bigger/smaller. - The transformations we have learned so far are: Dilation, Translation, Reflection, and Rotation