Translations and Reflections
Translations
A figure is slid from one position to another without being turned. Also called a slide.
Transformations
A movement of a geometric figure.
Translation
A transformation that slides a figure from one position to another.
Reflection
A transformation where a figure is flipped over a line.
Line of Reflection
Acts like a mirror. Every point on the original is "reflected" in the mirror and appears an equal distance from the line.
Transformation
An operation that maps an original geometric shape onto a new figure.
Corresponding
Angles that have the same position on two different parallel lines cut by a transversal.
Left
G (3,3) G' (2,3) was translated one unit to the ____________.
Down
G (3,3) G' (3,1) was translated 2 units _______
Congruent
Line segments that have the same length, or angles that have the same measure, or figures that have the same size and shape.
(-1, 2)
Point A (3, 1) is translated (x-4, y+1)
(4, 10)
Point B (-4, 10) is reflected over the y-axis
(1, 7)
Point C (1, 2) is translated (x, y+5)
(3, -9)
Point D (-3, -9) is reflected over the y-axis
(9, 10)
Point E (16, 8) is translated (x-7, y+2)
(4, 7)
Point F (4, -7) is reflected over the x-axis
(6, 1)
Point G (1, 2) is translated (x+5, y-3) and reflected over the x-axis
(3, 9)
Point H (-3, 5) is reflected over the y-axis and then translated (x, y+4)
(-8, 8)
Point I (10, 3) is translated (x-2, y+5) and then reflected over the y-axis
(4, 8)
Point J (12, -8) is reflected over the x-axis and then translated (x-8, y)
(0, -10)
Point K (-5, -6) is translated (x+5, y-4) and then reflected over the y-axis
(-2, -7)
Point L (-7, -8) is translated (x+5, y+1)
(-3, -2)
Point M (3, -2) is reflected over the y-axis
(5, -5)
Point N (1,1) is reflected over the x-axis and then translated (x+4, y-4)
(-6, -1)
Point O (1,1) is translated (x-7, y) and then reflected over the x-axis
P' (1,-5)
Reflect P (1,5) over the x-axis
P' (-1,5)
Reflect P (1,5) over the y-axis
Q' (3,-7)
Reflect Q (3,7) over the x-axis
Q' (-3,7)
Reflect Q (3,7) over the y-axis
(x,y) --> (x,-y)
Rule for a reflection over the x-axis
(x,y) --> (-x,y)
Rule for a reflection over the y-axis
Congruent
Same shape, same size.
Image
The image after the transformation has occurred.
Preimage
The original geometric shape.
Pre-Image
The picture of the geometric figure after it has been translated or reflected.
Image
The picture of the geometric figure prior to it being translated or reflected.
G" (-5, -7)
Translate Point G (-6, -7) 3 to the left then 4 to the right
G' (-3, -1)
Translate point G (-1, -2) 2 units left and 1 unit up
G' (14,11)
Translate point G (-2, 10) 16 right and 1 up
G' (-3, -7)
Translate point G (1, -1) 4 left and 6 down
G' (7,14)
Translate point G (4,8) 3 right and 6 up
(-3,-6)
Translate the point (-3,-2) 4 units down.
(6,4)
Translate the point (2,4) 4 units to the right.
(0,-2)
Translate the point (3,-2) 3 units to the left.
(4,2)
Translate the point (4,0) 2 units up.
