Translations
Reflections
Rotations
Dilations
Vocabulary
100
A translation is when you do this to a figure.
Slide it or move it right, left, up, or down
100
A reflection is when you do this to a figure.
Flip it or make a mirror image of it
100
A rotation is when you do this to a figure.
Spin it or turn it around a fixed point
100
A dilation is when you do this to a figure.
Make it bigger (enlargement) or smaller (reduction)
100
What is the operation that maps the original geometric figure, the pre-image, onto a new figure called the image.
Transformation
200
Find the new coordinates of (10,12) if you translate the point three units left and 4 units up.
(7,16)
200
Find the new coordinates of (3,-2) after you reflect the point over the x-axis.
(3,2)
200
Find the new coordinates of (-5,4) after you rotate the point 180º.
(5,-4)
200
Find the new coordinates of (3,-2) if you dilate the point with a scale factor of 4.
(12,-8)
200
Which transformation DOES NOT result in a congruent figure?
Dilation
300
Write the notation of point (x,y) after it moves 3 spots to the left and 7 spots up.
(x-3,y+7)
300
The point is reflected according to the rule: (x, y) -> (-x, y). Over what line was the point reflected?
The line is y-axis.
300
Write the notation of point (x,y) after it rotates 90º clockwise.
(y,-x)
300
Write the notation of point (x,y) after it is dilated with a scale factor k.
(kx,ky)
300
What is the difference between congruent and similar figures?
Congruent figures have the same shape and size. Similar figures have the same shape but not necessarily the same size.
400
The point's original location was at (2, -3). The point was then translated to (-3, 2). Write "the arrow rule" for the performed translation.
(x, y) -> (x - 5, y + 5)
400
Triangle ABC has vertices A(5,2), B(1,3), and C(-1,1). Find the coordinates of the vertices of the triangle when it is reflected over the x-axis.
A'(5,-2), B'(1, -3), C'(-1, -1)
400
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?
(1,6)
400
Line segment CD was dilated with a scale factor of 2. The endpoints of the image are C' (4,0) and D' (6,2). What are the coordinates of the endpoints of the original line segment?
C(2,0) and D(3,1)
400
When flipping a figure, each point of the pre-image and its image are the same distance from ________________?
The line of reflection.
500
Find the coordinates of the vertices of ∆LMN after a translation of 6 units to the right and 4 units down. The original coordinates of ∆LMN are as follows: L(0,3) M(6,4) N(3,9)
L'(6,-1), M'(12,0), N'(9,5)
500
Find the coordinates of the vertices of rectangle DEFG after a reflection over the y-axis. D(5,-5) E(5,8) F(-8,8) G(-8,-5)
D'(-5,-5), E'(-5,8), F'(8,8), G'(8,-5)
500
Find the coordinates of ∆JKL after a rotation of 270º counterclockwise about the origin. J(5,6) K(7,-9) L (-1,2)
J'(6,-5), K'(-9,-7), L'(2,1)?
500
∆DEF has the following vertices: D(2,8) E(2,16) F(10,12) Find the coordinates of ∆DEF after a dilation with a scale factor of 0.25 or 1/4.
D'(0.5,2), E'(0.5,4), F'(2.5,3)
500
What type of transformation changes ORIENTATION of the figure?
Reflection