Unit B Flashcards
What is a congruence transformation?
A moved figure that remains the same size, shape, angles, and side lengths of the Pre- Image
What are the three basic rigid motions?
Transformation, Reflection, and Rotation.
What is created after a transformation has been performed?
The Image.
What is the notation for each basic rigid motion?
Translation: T a,b (Triange DEF)
Rotation: R (d degrees, z)
Reflection: r —-> a, a1
What is a coordinate, or an ordered pair?
A pair of numbers which are used to determine the position of a point or shape.
What is another name for a reflection?
Mirror or Orbit across a point.
What are rules for reflecting coordinates (a,b) across the x-axis, y-axis, y = x line, and y = -x line?
x-axis = (x, y) > (x, -y)
y-axis = (x, y) > (-x, y)
y = x line = (x, y) > (y, x)
y = -x line = (x, y) > (-y, -x)
What is another name for a translation?
A slide.
What is a vector?
A directed line segment, whose length is the magnitude of the vector.
What is the rule for translating (x, y) in the coordinate plane?
(x + a, y + b)
What is true of the vectors connecting the original points of a figure to their translated images?
They are all parallel and the same length.
What is another name for a rotation?
A turn.
What are positive and negative rotations?
Counterclockwise are positive and Clockwise are negative.
How many quadrants will a point move if rotated 180 degrees?
2 quadrants.
What are the rules for rotating coordinates (x , y) on a coordinate plane?
- 360
C. ( x , y ) ( y , -x ) ( -x, -y) ( y, -x ) ( x , y)
CC. ( x, y ). ( -y , x ) ( -x, -y ) (y, -x ) (x , y )
- 360
