What is Translation?
A translation is a transformation that moves every point in a figure the same distance in the same direction
What are Rotations?
Rotation in mathematics is a concept originating in geometry. Any rotation is a motion of a certain space that preserves at least one point.
What Are Reflections?
In mathematics, a reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis or plane of reflection. The image of a figure by a reflection is its mirror image in the axis or plane of reflection.
What are dilations?
Dilation is the process of enlarging or reducing the size of a geometrical object without changing its shape. This is done by using the scale factor which helps in increasing or decreasing the size of the object.
What are Angles
an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays.
(x+6,Y+7) = (-2,-8) Did it get smaller?
Yes it did
The amount of rotation measured in degrees is called
Angle of rotation
Reflection is the ____ image of the shape.
Mirror
A(−5,−9)and A′(−45,−81),
find the scale factor. Assume the center of dilation is the origin.
K=9
Acute angle lies in which quadrant of the coordinate plane?
1st
Which transformation results in an image that is not congruent to the original figure?
dilation
The rotation about one of the axes of a coordinate system is called
Basic Rotation and Elemental Rotation
The original image in the reflection method is called
Pre image
Suppose you dilate a triangle with side lengths 3, 7, and 9 by a scale factor of 3. What are the side lengths of the image?
9,21,27
Two angles that having a common vertex and a common side are called _____
adjacent angles
A _________ results in the mirror image of a figure.
Reflection
The point about which the object is rotated is called
Point of rotation
Reflection is one of the types of
Transformation
Under dilation with the center at the origin and scale factor 4, what are the coordinates of z' if Z is
8,12
What is the sum of adjacent angles on a line?
180o
The point (5, 3) is transformed onto itself. Which transformation could have been performed?
A rotation by 360o about the orgin
The number of times the figure coincides with itself when it rotates through 360° is called
Order of Symmetry
The reflected image is also called
Post image
A rectangle has
and
cm. What is
if
is reduced to
with scale factor
4.8 cm
What degrees is a straight line?
180o