Rotations
What is a rotation
A transformation that turns a shape around a fixed point
What is a line of reflection?
The line that a figure is reflected over
How does a translation affect the properties of a two dimensional figure?
The shape is the same size, shape, and orientation
The shape and size will always be the same, but the orientation may change
The definition of slope is
The steepness of a line. Rise over run.
If point A(2,3) is rotated 90 degrees counterclockwise around the origin, what are the coordinates of point A'
If point A is located at (5,4), where would A' be after a reflection across the y axis?
(-5,4)
If a rectangle with point B is located at (3,4) is translated 3 units to the left, what is the coordinate of B'
(0,4)
Yes, the shape will be the same shape and size
What is a reflection?
Describe how a rotation affects the properties of a 2-d figure
The shape and size stay the same, but the position is different
A triangle has points at (1,2) (2,3) and (3,1). What are the points of the triangle after it is reflected across the x axis?
(1,-2) (2,-3) (3,-1)
If a shape is translated 3 units left and 4 units down, what is the new coordinate of the point originally located at (6,5)
(3,1)
If point T is located at (10,2), what would the point of T' be after a reflection across the y axis and a translation of 2 units up?
(-10,4)
What is a line of reflection
The line that a figure is reflected over
How do you find the center of rotation for a figure?
Use the origin to draw angles or look at how the points change. You can also count how many quadrants the shape moves.
How does a reflection affect the distance between points in a shape
The points of the image and pre image are the same distance from the line of reflection
What is the algebraic rule for a translation of 5 units right and 2 units up?
(x,y)-> (x+5,y+2)
If point H is located at (-4,2), where would H' be located after a 180 degree rotation and a reflection across the y axis?
(-4,-2)
Translation
A transformation that slides a figure left, right, up, or down
How can you determine the angle of rotation if a point is rotated to the position (−3,2) from (3,-2)? What is the angle of rotation?
You can see how the coordinates change. This point was rotated 180 degrees because the coordinates became opposite
What is the line of reflection if point A is at (5,1) and A' is at (-5,1)
The line of reflection is the y axis
Explain this translation (x,y)-> (x-2,y+1)
Translate the figure 2 units left and 1 unit up
Point A is located at (2,6). Point A is then rotated 270 degrees counter clockwise then translated (x,y)-> (x+1,y-3) What is the point of A''?
(-5,-1)
What is a Congruent?
Figure is congruent if the shape is the image is the same shape and size as the pre image