Transformations
Does a reflection across the y-axis preserve congruence?
yes, stays same size and shape
A figure translated 4 unit right and 1 unit down
( x + 4 , y - 1 )
Does ( x, -y ) or ( -x, y ) reflect over the y axis
( -x, y )
Change point ( 5, 6 ) after a 90 degree rotation.
90 degree rotation ( y , -x )
( 6 , -5 )
In a dilation, does the the orientation of the vertices change or stay the same
Stay the same
Does a rotation of 180° counterclockwise with the origin as the center of rotation preserve congruence
Yes, stays the same size and shape
In a Translation, does the orientation of the vertices change or stay the same?
Stays the same
In a reflection, does the orientation of the vertices change or stay the same?
Change
Change point ( 5, 6 ) after a 270 degree rotation
270 degree ( -y , x )
(-6 , 5 )
In a dilation, does the orientation of the figure change or stay the same
stays the same
Does a dilation by a scale factor of 0.5 preserve congruence
No, dilations do not keep the same size
Point A ( 3, 8 ) translated to create point A' ( 6, 10 ). write the algebraic rule.
( x + 3, y + 2 )
Point ( 7, 9 ) reflected over the x axis. What is the reflected new coordinate?
X stays the same change the Y
( 7 , -9 )
Change point ( 5 , 6 ) after a 180 degree rotation
180 degree rotation ( -x , -y )
( -5 , -6 )
in a dilation, does the figure reduce, enlarge or both
Both
Which transformation(s) keep the same orientation of the figure and the orientation of the vertices?
Translations and Dilations
what is the algebraic rule for a translation?
( x +/- #, y +/- #)
What is the axis that the image reflects over called
The line of reflection
Point A rotated 270 degrees counter clockwise, which rule describes this transformation
90 degree rotation ( y , -x )
If the scale factor is less than 1 does the image reduce or enlarge
reduces
Which transformation keeps the same orientation of the vertices, but not the orientation of the figure
Rotations
Write the algebraic rule for a translation the moved 6 units to the left and 4 units up.
( x - 6 , y + 4 )
If point P ( 5, 2 ) reflects over the y axis what is the coordinate of the new point?
Change the x and y stays the same
( -5 , 2 )
The figure rotated 180 degree from quadrant 1 to quadrant 4 (True or False )
false - it rotated 90 degrees
If the scale factor is greater than 1 the figure enlarged or reduced
Enlarge