Vocabulary
Transformations
Symmetry
Function Notation for Transformations
Transformation Rules
100
An exact position or location in a given plane.
What is a Point?
100
Triangle ABC contains the following points: A(1,-3), B(0,0), and C (-1,-1). The triangle is translated 7 units to the left. What are the coordinates of A'B'C'?
A' = (-6,-3) B' = (-7,0) C' = (-8,-1)
100
A line over which a graph or figure can be reflected such that it maps back onto itself.
What is Line of Symmetry?
100
Quadrilateral ABCD that has been reflected over the y-axis then translated down 4 units.
T 0,-4 (r y-axis (ABCD))
100
Reflection about the y-axis
r y-axis (x, y) = (-x, y)
200
Lines in plane that either do not share any points and never intersect, or share all points. They have the same slope.
What are Parallel Lines?
200
Triangle TOM contains the following points: T(2,3), O(3,7), and M(4,3). The triangle is rotated 180 degrees clockwise, then translated three units right and four units down. What are the new coordinates of T'O'M'?
T' = (1,-7) O' = (0,-11) M' = (-1,-7)
200
The number of lines of symmetry in a square.
What is four?
200
Triangle DEF that has been rotated 180 degrees then dilated by a scale factor of 3.
D 3 (R 180 (DEF))
200
Rotation -180 degrees about the origin.
R -180 (x, y) = (-x, -y)
300
Two lines that intersect at a right angle. The slopes are negative reciprocals.
What are Perpendicular Lines?
300
Triangle JOE contains the following points: J(3,3), O(6,5), and E(-1,4). The triangle is dilated by a factor of 1/2. What are the new coordinates of J'O'E'?
J' = (3/2,3/2) or (1.5,1.5) O' = (3,5/2) or (3,2.5) E' = (-1/2,2) or (-0.5,2)
300
A shape that has infinitely many lines of symmetry.
What is a circle?
300
Line segment AB has been horizontally stretched by a scale factor of 2, then rotated counterclockwise 90 degrees.
R 90 (S 2x (AB))
300
Translation right 3 units and down 8 units.
T 3, -8 (x, y) = (x+3, y-8)
400
A transformation in which the pre-image and image are congruent.
What is isometry?
400
Quadrilateral MIKE contains the following points: M(4,0), I(5,6), K(10,6), and E(9,0). The quadrilateral is rotated 90 degrees counterclockwise, then reflected over the x-axis. What are the new coordinates of M'I'K'E'?
M' = (0,4) I' = (6,5) K' = (6,10) E' = (0,9)
400
The number of lines of symmetry in a regular hexagon.
What is six?
400
The quadrant in which triangle CAT will end up if its pre-image is in Quadrant II and it is transformed using the function rule R -90 (CAT).
What is quadrant I?
400
Vertical stretch by factor of 4.
S 4y (x, y) = (x, 4y)
500
An infinite set of points equidistant from a center point.
What is a circle?
500
Quadrilateral STAN contains the following points: S(1,1), T(5,1), A(5,-3), and N (1,-3). The quadrilateral is reflected across the y-axis, rotated 90 degrees clockwise, and translated 2 units up. What are the new coordinates of S'T'A'N'?
S' = (-1,1) T' = (-1,-3) A' = (3,-3) N' = (3,1)
500
The number of lines of symmetry in a square + the number of lines of symmetry in a regular octagon
What is 12?
500
If the pre-image of DRY is in quadrant IV, which quadrant will the image be in after the following transformation: R 270 (r x-axis (DRY))
What is quadrant IV?
500
Horizontal shrink by 1/2 and a vertical stretch by 3.
S 1/2x, 3y (x, y) = (1/2x, 3y)
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