Translations
A translation is when you do this to a figure.
What is slide a figure (right, left, up, or down)?
A reflection is when you do this to a figure.
What is flip it across a line of reflection?
A rotation is when you do this to a figure.
What is turn/spin it around a center of rotation?
A sequence of translations, reflections, and rotations will always create these kinds of figures...
What is... Congruent Figures
The official names for the following transformations. 1. Slide 2. Flip 3. Turn
What is a... 1. Translation 2. Reflection 3. Rotation
Find the new coordinates of (10,12) if you translate the point three units left and 4 units up.
What is (7,16)?
Find the new coordinates of (3,-2) after you reflect the point over the x-axis.
What is (-3,-2)?
Find the new coordinates of (5,4) after you rotate the point 180º around the origin.
What is (-5, -4)?
Parallelogram A has coordinates (4, 1) (6, 1) (4, -2) (2, -2) and figure B has coordinates (5, 4) (7, 4) (5, 1) (3, 1). Describe a transformation that transforms A into B.
What is a translation 1 right and 3 up? Rule: (x+1, y+3)
The Transformation(s) that always preserve the orientation of a figure...
What is a ... Translation
Write the algebraic rule for moving a point (x,y) 3 spots to the left and 7 spots up.
What is (x, y) -> (x-3,y+7)?
Write the algebraic rule of point (x,y) after it is reflected over the y-axis.
What is (-x,y)?
Write the algebraic rule of point (x,y) after it rotates 90º clockwise.
What is (y,-x)?
Point A has coordinates (5, 6). Point A is reflected across the y-axis to get Point A'. Point A' is rotated 90 degrees clockwise to get Point A". Find the coordinates of point A".
What is... (6, 5)
The algebraic rule for when you reflect a figure across the x-axis?
What is... Multiply the y-coordinate by -1. Rule: (x, -y)
Describe the translation for this rule: (x,y) --> (x + 8, y + 4)
What is a translation of 8 units to the right and 4 units up?
The point A(3,-5) is reflected across the x-axis to get point A', point A' is reflected across the y-axis to get point A". What are the coordinates of point A"?
What is (-x,-y)?
Figure QRST has vertices Q(2,-1), R (6,-1), S(6,-3) and T(2,-3). Which will be the coordinates of vertex R after the rectangle is rotated 90º counterclockwise about the origin?
What is (1,6)?
Point A has coordinates (-1, 2). Point A is reflected across the x-axis to get point A'. Point A' is translated 3 units left and 4 up to get point A". Point A" is rotated 180 degrees to get point A'''. Find the coordinates of A'''.
What is... A(-1,2) --> A'(-1,-2) --> A"(-4, 2) --> A'''(4, -2)
The algebraic rule for a translation Up 3 and left 1.
What is... (x , y) -> (x-1 , y+3)
Find the new coordinates for ∆LMN after a translation of 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)
What is L'(6,-1), M'(12,0), N'(9,5)?
Find the coordinates of rectangle DEFG after a reflection across the x-axis. D(5,5) E(5,8) F(8,8) G(8,5)
What is D'(5,-5), E'(5,-8), F'(8,-8), G'(8,-5)?
Graph ∆JKL after a rotation of 180º about the origin. J(5,6) K(7,9) L (1,2). What are the new coordinates?
What is J(-5,-6), L(-7,-9), L(-1,-2)?
The coordinates of ∆DEF are D(2,8) E(2,2) F(6,2). Find the coordinates of ∆D"E"F" after a reflection across the y-axis, followed by a rotation of 270 degrees clockwise.
What is... D'(-2,8), E'(-2,2), F'(-6,2) --> D"(-8, -2), E"(-2, -2), F"(-2,-6)
The algebraic rule for a 270 degree clockwise rotation.
What is... (The same as the rule for a 90 degree counterclockwise rotation). (x , y) -> (-y, x)