symmetry and dilation, Ch 3 Congruence Transformation, Symmetry, congruent transformation, Ch 3 Identify Transformations, Ch 3 Congruence Transformation Rules
center of rotation
A fixed point around which shapes move in a circular motion to a new position.
line of reflection
A line that a figure is flipped across to create a mirror image of the original figure
Reflection
A transformation that "flips" a figure over a mirror or reflection line.
Dilation
A transformation that changes the size of an object, but not the shape.
rigid transformation
A transformation that does not change the size or shape of a figure.
Rotation
CIRCULAR MOVEMENT AROUND AN AXIS
line of symmetry
The imaginary line where you could fold the image and have both halves match exactly.
translation, reflection, rotation
What are 3 rigid motions?
line of symmetry
What are the red lines?
symmetry
When one shape becomes exactly like another if you flip, slide, or turn it.
congruent
When two shapes are the same shape and size
similar
When two shapes look the same, but are not the same size.
reflection
When we flip an object it is called
counterclockwise
When we rotate an image to the left
translation
When we slide an object it is called
rotation
When we turn an object it is called
(x,y)→(-x,-y)
Write the rule: 180⁰ rotation
(x,y)→(y,-x)
Write the rule: 270⁰ counter clockwise rotation
(x,y)→(-y,x)
Write the rule: 90⁰ counter clockwise rotation
(x,y) - (-y,-x)
Write the rule: Reflection over line y = -x
(x,y) - (y,x)
Write the rule: Reflection over line y = x
(x,y)→(x,-y)
Write the rule: reflection over the x-axis
(x,y)→(-x,y)
Write the rule: reflection over the y-axis
(x,y)→(x+3,y-4)
Write the rule: translate three to the right and 4 down
image
a figure resulting from a transformation
Translation
a function that moves an object a certain distance
Transformation
a general term for four specific ways to manipulate the shape of a point, a line or shape. the original shape of the object is called the pre- image & final shape & position of the object
reflectional symmetry
definition: The figure can be mapped onto itself through a line of symmetry
symmetry
definition: There is a rigid motion that allows the figure to map onto itself.
dilation
definition: a transformation that reduces or enlarges the original figure
rotational symmetry
definition: can be mapped onto itself through a center of rotation
order of symmetry
definition: the number of times a figure can be mapped on to itself in rotational symmetry
angle of rotational symmetry
definition: the smallest angle that a figure can be rotated and mapped onto itself
preimage
the original figure in a transformation
reduction
what happens to a figure if the scale factor is less than one
stays the same
what happens to a figure if the scale factor is one
enlargment
what happens to the figure if the scale factor is greater than one