Translations
A translation is when you move in these directions.
Left, Right, Up, Down
What type of reflection will take a figure from Quadrant I to Quadrant IV?
Reflection across the x-axis.
Which other rotation has the same result as a 90º counterclockwise rotation?
What is a 270º clockwise rotation
Describe how a dilation with a scale factor of 2.5 will affect a figure.
Make it bigger / Enlargement
Which transformation always preserves the size, shape, and orientation?
Translations
Find the new coordinates of (10,12) if you translate the point 3 units left and 4 units up.
(7,16)
Find the new coordinates of (3,-2) after you reflect the point over the x-axis.
(3, 2)
Find the new coordinates of (5,4) after you rotate the point with 180º.
(-5, -4)
Find the new coordinates of (3,-2) if you dilate the point with a scale factor of 4.
(12, -8)
Which transformation does not result in a congruent figure?
What is a dilation?
Write the algebra rule that translates a point 3 units to the right and 7 units up.
A triangle with points A(-5,11) B(3,-2) and C(-2,-1) is reflected to points A'(-5,-11) B'(3,2) and C'(-2,1). Identify the type of refleciton.
Reflection across the x-axis.
Write the image of point (1,2) after it rotates 90º clockwise.
What is (2, -1)
Write the rule for a figure that is dilated by a scale factor of 6.
(x,y)-->(6x,6y)
Which property changes under a reflection?
Orientation
Describe the translation for this notation: (x,y) --> (x + 8, y - 4)
Right 8, down 4
A picture with one point (-3,4) was reflected over the x-axis. What should be the new coordinates of the point?
(-3, -4)
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?
R' (1,6)
Line segment CD was dilated around the origin by 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?
What is C(2,0) and D(3,1)?
These properties are preserved under a dilation.
What are shape and orientation
Graph ∆LMN after a translation of 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)
L'(6, -1) M'(12, 0) N'(9, 5)
Find the coordinates 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)
Find the coordinates of ∆JKL after a rotation of 90º counterclockwise about the origin. J(5,6) K(7,9) L (-1,-2)
What is J(-6,5), K(-9,7), L(2,-1)?
Find the coordinates of ∆DEF after a dilation with a scale factor of 0.5. D(2,8) E(2,2) F(6,2)
D'(1,4) E'(1,1) F'(3,1)
A parallelogram is translated 4 left, then rotated 180 degrees about the origin, then dilated by a scale factor of 1/2. How does the image compare to the preimage? (Congruent/Similar)
What is similar