Vocabulary
A transformation in which a graph or geometric figure is picked up and moved to another location without any change in size or orientation.
What is translation?
The vector notation for a figure that is translated 3 units left.
What is (x,y)->(x-3, y)?
What are the four reflection rules?
Over x-axis (x,-y)
Over y-axis (-x,y)
Over y=x (y,x)
Over y=-x (-y,-x)
Two objects that are exactly the same in dimensions and shape are __________
What is congruent?
Operations that change the position of a figure. Examples: translations, reflections, and rotations.
What is transformations?
Find the coordinates of A' and B' if segment AB with A(2, 4) and B(-1, 1) is translated by (x,y)->(x+2, y-5)
What is A'(4, -1) and B'(1,-4)?
The coordinates of X' and Y' when XY with X(-3, 1) and Y(-1, 4) are reflected over the x-axis.
What is X'(-3, -1) and Y'(-1,-4)?
A(-2,3) B(0,4) C(2,-2)
Translation (x,y)->(x-3,y-2)
Rotate 90 clockwise
What are the final coordinates of the new shape?
What is
A'(-5,1) B'(-3,2) C'(-1,-4)
A''(1,5) B''(2,3) C''(-4,1)
The transformation where each point of the shape is equal distance on the opposite side of a given line
What is 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,y)-->(x-5, y+1)
What is X(-5, 4), Y(-2, -1), and Z(-1, 1)?
The coordinates of M', N', and O' 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)?
What are the three rotation rules?
90 Clockwise (270 counterclockwise) (y,-x)
90 Counterclockwise (270 clockwise) (-y,x)
180 degrees (-x,-y)
Find the coordinates of A" and B" after the following transformations:A(1,3) B(2,0)
translated by (x,y)->(x-3,y+1),
then reflected over y=-2.
A'(-2,4)B'(-1,1)
What is A"(-2, -8) and B"(-1, -5)?
What is the definition of a rotation?
A transformation in which a plane figure turns around a fixed center point.
Find the coordinates of M' and N' when MN with M(-4, -1) and N(-3, -3) are translated 2 units up and 5 units right.
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?
Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated clockwise 270 degrees around the origin.
What is A'(2,-3) and B'(-2,-1)?
What is the preimage of triangle A'(-2,5) B'(-1,-2) C'(2,3) by the translation rule (x,y)->(x+2, y-3)
What is A(-4,8) B(-3,1) C(0,6)?
A transformation that preserves distance; e.g. reflection, rotation, and translation.(every point in the figure moves the same distance)
What is a rigid motion?
The translation rule was to get D'(-5, 4), E'(-4, 1), and F'(-2, 1) when translated from D(-4,0), E(-3, -3), and F(-1, -3).
What is (x, y)-->(x-1, y+4)?
Find the coordinates of E' and F' when E(2, 2) and F(-1, 3) are rotated clockwise 90 degrees about point (1,0)
What is E'(2,-1) and F'(3,2)
Find the coordinates of A'' B" and C'' when A(5, 0), B(5, 5), and C(2,4) undergo the following transformations:
translate (x, y)-->(x+6, y-5),
then rotate counterclockwise 270 degrees.
What is A''(-5,-11) B"(0, -11) C''(-1,-8)?