(x,y)--(x-4,y+6)
(x,y) > (x + 8, y + 2)
(x1, y1) = (x - 8, y + 9)
(x' , y') = (-x + 1 , y + 4)
That which is considered and established as a principle; hence, sometimes, a rule., A statement of a principle to be demonstrated., To formulate into a theorem.
A rule or a statement that is accepted without proof is a postulate.
Which transformations could have been used to move the platter to the new location? A. a translation 9 units left and a translation 3 units down B. a reflection across MN and a translation 4 units left C. a reflection across MN and a translation 8 units left D. a rotation 180° clockwise about N and a translation 4 units left
(x,y) > (x + 8, y + 2)
For this translation, you need to replace every occurence of "x" with "x-3", and every occurence of "y" with "y+5".
(x1, y1) = (x - 8, y + 9)
A translation that moves a point 4 units to the right and 5 units down can be described by the rule ( (x, y) \rightarrow (x + 4, y - 5) ). This means that for any point ((x, y)), you add 4 to the x-coordinate and subtract 5 from the y-coordinate to find the new position after the translation.
The vector (6, -2)T
It depends on the kind of transformation: it could be reflection or translation.
A reflection across the origin transforms a point ((x, y)) to ((-x, -y)). After this reflection, a translation of 3 units to the right and 4 units up shifts the point to ((-x + 3, -y + 4)). Therefore, the combined rule for the transformation is given by the mapping ((x, y) \to (-x + 3, -y + 4)).
(x' , y') = (-x + 1 , y + 4)
The rule for the transformation above is translation. Translation is a transformation that moves every point of a figure the same distance in the same direction.
a function rule
a law!