Translations
A slide across the plane.
What occurs during a reflection?
A "flip" over the line of reflection.
What occurs during a rotation?
A figure is turned around a fixed point.
What are the three basic rigid motions?
Translation, reflection, and rotation
A rigid motion that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.
Translation
If you are asked to translate a figure along a vector and that vector is pointed to the right, which direction should the figure "slide"?
Right
How long should segment A'B' be if segment AB is 7.372 units?
7.372 units
What way do you rotate a figure about the origin if d<0?
Clockwise
True or False: All transformations map segments to segments and preserve their length
True
What is it called when two lines intersect forming a right angle?
Perpendicular
True or False: A translation is a flip over a line.
False
What is the line called that we "flip" the figure or point over when we perform the reflection?
Line of reflection
What is the fixed point know as that a figure is turned around during a rotation?
Center of rotation.
True or False: The three basic rigid motions are angle preserving.
True
What is the term we use for how we label a transformed figure or point? Hint: (Symbol is ')
Prime
If line L1 is translated along vector AB which is contained inside of L1, what do we know about L1 and L1'?
They coincide.
If we reflect point I over the line of reflection, what do we know about the distance from I to the line of reflection compared to the distance from I' to the line of reflection?
They are equidistant or the same length/distance.
If we have L1 and L2 and they are parallel to each other and are then rotated around point O, what do we know about L1' and L2'?
They remain parallel.
True or False: When you reflect a figure the reflection should be larger than the original.
False
A transformation that turns a figure around a fixed point.
Rotation
If angle ABC has a measure of 150o and we translate it (5,-5), what will the measure of angle Translation(ABC) be?
150o
If you have a line L that has point T on the line and there is a reflection, what is the relation between T and T'?
If point A is at (2,-4) and you are asked to rotate it about the origin (0,0), what are the coordinates for A'?
(-2,4)
If point P is at coordinate points (6,-7) and you are asked to translate (3,5), what are the coordinate points for P'?
(9,-2)
The word for when two figures are the same size and shape.
Congruent