Vocabulary
Translations
Reflections
Rotations
Sequencing
Miscellaneous
100
A transformation in which a graph or geometric figure slides to another location
What is a translation?
100
a figure that is translated 3 units left that starts at (0,0)
What is (-3,0)?
100
What happens to the coordinates in a reflection across the y axis?
(x,y) becomes (-x, y)
OR
the x-coordinate is the opposite
100
This angle of rotation creates the same image if it's rotated clockwise or counterclockwise.
What is a rotation of 180 degrees?
100
Reflecting over the x-axis and then the y-axis gets us this motion rule.
What is (x,y) → (-x,-y)?
100
When a figure is translated which out of the following are preserved? (May be none,1,2,or all)
Side Length
Angle Measure
Orientation
All 3 are preserved during translation.
200
Operations that alter the form of a figure. Examples: translations, reflections, and rotations.
What are transformations?
200
Triangle ABC is translated to create Triangle DEF,
List All Congruent Parts.
Angle ABC and Angle DEF
Angle BCA and Angle EFD
Angle CAB and Angle FDE
Side AB and Side DE
Side BC and Side EF
Side AC and Side DF
200
If Triangle ABC is reflected to create Triangle XYZ.
Which parts are congruent?
Angle ABC and Angle XYZ
Angle BCA and Angle YZX
Angle CAB and Angle ZXY
Side AB and Side XY
Side AC and Side XZ
Side BC and Side YZ
200
Motion rule for a 270 degree clockwise or 90 degree counterclockwise rotation around the origin.
What is (x,y) becomes (-y, x)?
200
Which single translation will produce the same image as the following sequence of translations:
(x, y) → (x - 1, y + 5), followed by
(x, y) → (x + 4, y + 2), followed by
(x, y) → (x - 5, y - 7)
(x,y)→ (x-2,y) OR
Translate left 2 units
200
Which parts of these triangles are congruent?
Angle ABC and Angle DEF
Angle BCA and Angle EFD
Angle CAB and Angle FDE
Side AB and Side DE
Side BC and Side EF
Side AC and Side DF
300
The lines y=0 and x=0.
What are the x and y axis?
300
Find the coordinates of X', Y', and Z' when triangle XYZ with X(0,3), Y(3, -2), and Z(4,0) is translated left 5 and up 1.
X(0,3)→(0-5,3+1)→X'(-5,4)
Y(3,-2)→(3-5,-2+1)→Y'(-2, -1),
Z(4,0)→(4-5,0+1)→Z'(-1, 1)
300
What happens in a reflection across the x-axis?
(x,y) becomes (x,-y)
OR
the y-coordinate is opposite
300
Motion rule for a rotation clockwise of 90 degrees.
What is (x, y)→(y, -x)?
300
What transformations would need to happen to go from triangle BUG to triangle B'U'G'?
Translate down 1, then reflect over y=x OR
Translate down 1, rotate 90 degrees counterclockwise, then reflect over the y-axis.
300
When we complete a transformation on a set of parallel lines, what is one way that we can tell that the lines are still parallel other than the slope?
Distance between the lines
400
A transformation in which a plane figure turns around a fixed center point.
What is rotation?
400
Find the coordinates of M' and N' when MN with M(-4, -1) and N(-3, -3) is translated 5 units right and 2 units up.
What is M'(1, 1) and N'(2, -1)?
400
If triangle ABC has coordinates A(-2, 0), B(1, 3), and C(3, -4), what are the new coordinates when reflected over the x-axis?
What is A' (-2,0) B' (1,-3) C (3,4)
400
Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated clockwise 180 degrees around the origin.
(x,y)→(-x,-y)
A(-3,-2)→A'(3,2)
B(-1,2)→B'(1, -2)?
400
Point L is at (3,-2)
Rotate L 90 degrees counterclockwise around the origin.
Reflect L' over the y-axis,
then translate L'' two units down and three units to the right.
What is your new coordinate?
(3,-2)→(2,3)
(2,3)→(-2,3)
(-2,3)→(-2+3,3-2)→(1,1)
400
A 90 degree rotation is shown. Is Orientation preserved? Why/Why Not?
Yes, if we start at A:
A→B→C
A'→B'→C'
500
This means that the points of the pre-image and image are both in the same order counterclockwise.
What is orientation?
500
The direction and how far D(-5, 4), E(-4, 1), and F(-2, 1) are translated to, to make D'(-5,0), E'(-4, -3), and F'(-2, -3).
What is 4 units down?
500
The triangle X(3,4), Y(1,-2), and Z(-1,-1) is reflected over the line y=x. What are the new coordinates?
X' (4,3) Y' (-2,1) Z' (-1,-1)?
X and Y-Values were switched.
500
Rotate Triangle RST 90 degrees clockwise if Triangle RST has coordinates R(2,4), S(3,-2), and T(-6,12)
(x,y)→(y,-x)
R(2,4)→R'(4,-2)
S(3,-2)→S'(-2,-3)
T(-6,12)→T'(12,6)
500
Point A is mapped to point A' (-1,4) after a translation of up 4 and left 3, then a reflection over the x-axis.
What is the original point of A?
Backwards Order
(-1,4) -> (-1,-4)(-1,-4) -> (-1+3, -4-4) -> (2,-8)
500
This transformation when done correctly, changes orientation of a figure.
What is a reflection?