Vocabulary
What is the turning or spinning of a figure around a fixed point called?
A rotation
(5, 3)
Point A is located at (2, 5). What are the coordinates of A' after a reflection in the x axis?
(2, -5)
If point A(3, -4) is translated down 7 and left 8, what are the coordinates of A'?
(-5, -11)
What is another name for a translation?
a slide
What is the reduction or enlargement of an image called?
A dilation
Point B is located at (4, 7). When point B is rotated 180 degrees, what happens to the coordinates?
They become (-4, -7)
Point Z is located at (-4, 7). What are the coordinates of Z' after a reflection in the y axis?
(4, 7)
If point P(2, 3) is translated up 7, what are the coordinates of P'?
(2, 10)
What type of Rigid Motion does NOT change orientation?
Translation
What is a transformation in which a mirror image is produced by flipping a figure over a line called?
A reflection
A figure is rotated 90 degrees counterclockwise. This is equivalent to what other rotation?
270 degrees clockwise
Point Q is located at (3, -6). What are the coordinates of Q' after it has been reflected in the x axis?
(3, 6)
If point N(-5, -8) is translated down 4 and left 3, what are the coordinates of N'?
(-8, -12)
What is the difference between a rotation of 180 clockwise, and 180 counterclockwise?
Nothing.
They are the same.
What properties of a shape are preserved in a translation?
Shape, Size and Orientation
If segment CD is rotated 90 degrees clockwise, what are the coordinates of its image? The coordinates of the original are C (-3, 1) and D (-3,-2).
C(1, 3) and D(-2, 3)
Triangle ABC is located at A (2, 1), B (4, 5) and C (6, 0).
What are the coordinates of A', B' and C' after a reflection in the y axis?
A' = (-2, 1)
B' = (-4, 5)
C' = (-6, 0)
If triangle ABC is translated up 2 and right 4. What are the coordinates of the image? The original points are A(-3,3) B(-6,-3) and C(-6,9).
The points of the image are A(1, 5) B(-2, -1) and C(-2, 11).
What are the different types of Rigid Motions?
Translation
Reflection
Rotation
What must we put on the image to tell it apart from the pre-image?
Labels and Primes
If segment AB is rotated 90 degrees counterclockwise, what are the coordinates of its image? The coordinates of the original are A(-6, -2) and B(-2,-4).
The coordinates of the image are A(2,-6) and B(4,-2).
If point T(-4,3) is reflected in the x-axis and then the y-axis, what are the coordinates of the final image?
(4, -3)
The coordinates of segment AB are A(-7,4) and B(-3,2). Segment AB is translated. If the coordinates of the image for point A are (-4,-3), what are the coordinates for point B?
(0, -5)
What remains congruent in a rigid motion?
The shape and it's size