Vocabulary
A transformation in which a graph or geometric figure slides to another location without any change in size or orientation.
What is translation?
The coordinate that is affected when a shape is translated 3 units left.
What is the x coordinate?
The vertices of a square are A (0, 4), B (0, 2), C (2, 2), D (2, 4). If ABCD is reflected over the y axis, which vertex (vertices) will NOT change its coordinates?
What is A' and B'?
This angle of rotation creates the same image if it's rotated clockwise or counterclockwise.
What is a rotation of 180 degrees?
Angle of rotation for a square.
What is 90 degrees?
The set of all points in a plane that are a fixed distance from a center point.
What is a circle?
Find the coordinates of A' if point A at (2, 4) is translated by (x + 2, y - 5).
What is A'(4, -1)?
The coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is reflected over the x-axis.
What is X'(-3, -1)?
The rotation that creates the same image as a rotation 270 degrees clockwise.
What is a rotation 90 degrees counterclockwise?
The degrees at which a square will map onto itself (list all).
What is 90, 180, 270, and 360 degrees?
The transformation that is a combination of a reflection and a translation.
What is glide reflection?
Find the coordinates of X', Y', and Z' when triangle XYZ with X(0,3), Y(3, -2), and Z(4,0) is translated by (x -5, y + 1).
What is X'(-5, 4), Y'(-2, -1), and Z'(-1, 1)?
The coordinates of M', N', and O' when triangle MNO with M(-2, -4), N(-3, 1), and O(0, 2) is reflected over the line x=2.
What is M'(6, -4), N'(7, 1), and O'(4, 2)?
The coordinate mapping for a rotation clockwise of 90 degrees (rule).
What is (x, y)-->(y, -x)
Find the coordinates of point A" after the following glide reflection: translated by (x-3,y+1), then reflected over y=-2. The coordinates of A are (2, 3).
What is A"(-1, -8)?
This is created when two rays come together at a common endpoint.
What is an angle?
Find the coordinates of M' and N' when MN with M(-4, -1) and N(-3, -3) is translated 5 units right and 2 units up.
What is M'(1, 1) and N'(2, -1)?
The line of reflection when A(-2, 0), B(1, 3), and C(3, -4) is reflected to A'(-2, -2), B'(1, -5), and C'(3, 2).
What is y=-1?
This angle of rotation maps (x, y)-->(-y, x).
What is rotation 270 degrees clockwise or 90 degrees counterclockwise?
If triangle ABC is reflected over y = x, what are the of coordinates of A'B'C'. The coordinates of ABC are A (2, -1), B(4, -1), C(2,-3)
What are A'(-1, 2), B'(-1, 4), C' (-3, 2)?
A transformation that preserves distance, angles, and length; e.g. reflection, rotation, and translation. It is also referred to as "rigid".
What is an isometry?
The coordinate mapping when D(-5, 4), E(-4, 1), and F(-2, 1) are translated to D'(-5,0), E'(-4, -3), and F'(-2, -3).
What is (x, y)-->(x, y-4)?
The coordinate of X'Y'Z' when when X(-4, 0), Y(-2, -2), and Z(0, -8) is reflected over y = -x.
What is X' (0, 4), Y' (2, 2), Z' (8, 0)?
Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated clockwise 180 degrees.
What is A'(3, 2) and B'(1, -2)?
Find the coordinates of B" when A(5, 0), B(5, 5), and C(2,4) undergo the following composition: translate (x, y)-->(x+6, y-5), then rotate counterclockwise 270 degrees.
What is B"(0, -11)?