Vocabulary
Translations, Reflections, and Rotations
To translate a figure means to ________ it.
slide
To reflect a figure means to _________ it.
Flip
Rotating a figure a certain number of degrees when d>0 means to rotate...
counter-clockwise
The geometric figure that looks like an arrow that gives direction and how far in that direction for a translation.
Vector
Translations are performed along this figure.
Vector
What happens when you reflect over the x-axis on the coordinate plane.
(x,y) --> (x,-y)
(The y-coordinate changes signs)
Rotating 90 degrees on the coordinate plane makes the rule
(x,y) --> (y,-x)
A property of the basic rigid motions that preserves the lengths of segments.
distance-preserving
On the coordinate plane, when going up or right a number of units you ______ to the x or y coordinate.
add
The coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is reflected over the y-axis.
X' (3,1)
On the coordinate plane the point of rotation is...
the origin (0,0)
A property of the basic rigid motions that preserves the measures of angles.
angle-preserving
When you translate a figure down or left on the coordinate plane you _________ the x or y coordinate.
subtract
The result when you reflect a point that is on the line of reflection.
The point stays in place.
Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated clockwise 180 degrees.
A'(3,2) and B'(1,-2)
When you perform a rotation you need the following... (2 things)
point of rotation and number of degrees
The coordinate mapping when D(-5, 4), E(-4, 1), and F(-2, 1) are translated to D'(-5,0), E'(-4, -3), and F'(-2, -3)
4 units down
Point P is reflected over a line to create P'. A line segment PP' is created. The line of reflection is now a ________ of PP' and creates ___________ lines.
bisector, perpendicular
Parallel lines when rotated a certain degree will produce another pair a parallel lines that are ALSO parallel to the pre-image
180 degrees