Translations
What is a translation?
a move or slide
What is a reflection?
a flip or a mirror image
What is a rotation?
a spin or a turn
What is a congruent figure?
a figure with the same shape and the same size
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 180º about the origin.
(-5, -4)
What do we call matching sides of congruent figures?
corresponding sides
Write the notation of point (x,y) after it moves 3 units to the left and 7 units up.
(x - 3, y + 7)
Write the notation of point (x,y) after it is reflected over the y-axis.
(-x,y)
Write the notation of point (x,y) after it rotates 90º clockwise about the origin?
(y,-x)
What do we call matching angles of congruent figures?
corresponding angles
Describe the translation for this notation: (x,y) --> (x + 8, y + 4)
8 units to the right and 4 units up
What is the image of triangle ABC when it is reflected over the y-axis?
A(-1, -1) B(-4, 5) C(1, 1)
A'(1, -1) B'(4, 5) C'(-1, 1)
Rectangle 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)
What is a transformation?
any change made to a shape
What are the coordinates ∆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)
What are the coordinates of rectangle DEFG after a reflection over the x-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)
What are the coordinates of ∆JKL after a rotation of 180º about the origin.
J(5,6) K(7,9) L (1,2)
J'(-5,-6) K'(-7,-9) L'(-1,-2)?
True or false:
The starting figure is called the image and the new figure is called the post-image.
False - The starting figure is called the pre-image and the new figure is called the image.