Translations
Reflections
Rotations
Congruent Figures
Properties
100
A translation is when you do this to a figure.
What is slide a figure right, left, up, or down?
100
A reflection is when you do this to a figure.
What is flip it across a line of reflection?
100
A rotation is when you do this to a figure.
What is turn/spin it around a center of rotation?
100
A sequence of translations, reflections, and rotations will always create these kinds of figures...
What is... Congruent Figures
100
The official names for the following transformations. 1. Slide 2. Flip 3. Turn
What is a... 1. Translation 2. Reflection 3. Rotation
200
Find the new coordinates of (10,12) if you translate the point three units left and 4 units up.
What is (7,16)?
200
Find the new coordinates of (3,-2) after you reflect the point over the x-axis.
What is (-3,-2)?
200
Find the new coordinates of (5,4) after you rotate the point 180º around the origin.
What is (-5, -4)?
200
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)
200
The Transformation(s) that always preserve the orientation of a figure...
What is a ... Translation
300
Write the rule of point (x,y) after it moves 3 spots to the left and 7 spots up.
What is (x-3,y+7)?
300
Write the rule of point (x,y) after it is reflected over the y-axis.
What is (-x,y)?
300
Write the notation of point (x,y) after it rotates 90º clockwise.
What is (y,-x)?
300
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)
300
The algebraic rule for when you reflect a figure across the x-axis?
What is... Multiply the y-coordinate by -1. Rule: (x, -y)
400
Describe the translation for this notation: (x,y) --> (x + 8, y + 4)
What is a translation of 8 units to the right and 4 units up?
400
The point A(x,y) is reflected across the x-axis to get point A', point A' is reflected across the y-axis to get point A". What can you say about the coordinates of point A"?
What is (-x,-y)?
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?
What is (1,6)?
400
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, 4) --> A'''(4, -4)
400
The algebraic rules for a translation are... Up: Down: Right: Left:
What is... Up: Add to the y-coordinate Down: Subtract from the y-coordinate Right: Add to the x-coordinate Left: Subtract from the x-coordinate
500
Graph ∆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)?
500
What are 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)?
500
Graph ∆JKL after a rotation of 180º about the origin. J(5,6) K(7,9) L (1,2)
What is J(-5,-6), L(-7,-9), L(-1,-2)?
500
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)
500
The algebraic rule for a 270 degree clockwise rotation.
What is... The same as the rule for a 90 degree counterclockwise rotation. Which is multiply the y-coordinate by -1 and switch x and y. Rule: (-y, x)
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