Translations
This is the result of a translation of a pre-image
Image
This is the line that a shape is flipped across.
line of reflection
This is the point around which a shape is turned.
Center of rotation (origin)
A triangle is translated 2 units right, then reflected across the x-axis. What are the final coordinates of a vertex that started at (-1, 4)?
(1, -4)
What are the new coordinates of point A at (2, 3) if it's translated 4 units right and 1 unit down?
(6,2)
What are the new coordinates of a point at (-3, 5) after a reflection across the x-axis?
(-3, -5)
A point is at (2, -4). What are its new coordinates after a 90° clockwise rotation about the origin?
(-4, -2)
A point at (3, -2) is rotated 180° about the origin, then translated 1 unit up and 4 units left. What are the new coordinates?
(-1, 3)
Describe the translation that moves a shape from the original coordinates (x, y) to the new coordinates (x - 5, y + 2).
5 units left and 2 units up
What is the rule for a reflection across the y-axis?
(x,y)→(−x,y)
What are the new coordinates of a point at (-5, 1) after a 180° rotation about the origin?
(5, -1)
A figure is reflected across the y-axis, then rotated 90° clockwise about the origin. What are the new coordinates of a point that was originally at (6, 5)?
(-5, -6)
A figure has vertices at (1, 1), (3, 1), and (3, 4). After a translation, one vertex is at (2, -2). What are the coordinates of the other two vertices?
(0, -2) and (0, 1)
A triangle with vertices at (1, 2), (4, 2), and (4, 5) is reflected across the line y=1. What are the new coordinates of its vertices?
A' (1,0)
B' (4,0)
C' (4,-3)
A triangle has vertices at (3, 2), (5, 2), and (4, 5). What are the new coordinates of its vertices after a 90° counter-clockwise rotation about the origin?
(-2, 3), (-2, 5), and (-5, 4)
A point at (-4, 1) is translated by the rule (x+2,y−3), and then reflected across the line x=-1. What are the final coordinates?
(0,-2)
An object is at coordinates (x, y). It's translated 3 units left and 5 units up, then translated again 2 units right and 1 unit down. What single translation would produce the same result?
1 unit left and 4 units up
A square has vertices at A (1, 1), B (3, 1), C (3, 3), and D (1, 3). If it's reflected across the line x=-2, what are the new coordinates of the vertices?
A' (-5,1)
B' (-7,1)
C' (-7,3)
D' (-5,3)
What is the rule for a rotation of 270° counter-clockwise about the origin? What else could you call this?
90 clockwise; (x,y)→(y,−x)
A point P at (x, y) is reflected across the y-axis to P', then P' is reflected across the x-axis to P''. What single transformation from P to P'' would produce the same result?
180° rotation about the origin