Vocabulary
Two shapes are ______________ if they are the same size and shape.
Congruent
A triangle's coordinates on a coordinate plane are as follows: A(-2,1), B(2, 5), C(1, 2). Find the coordinates of the new triangle if it is translated 3 units to the right and 3 units down.
A'(1,-2) B'(5,2) C'(4, -1)
The vertices of a triangle are A(−1, 1), B(−1, 3), and C(6, 3). What are the coordinates of the new image if it is reflected in the x-axis?
A'(-1, -1) B'(-1, -3) C'(6, -3)
Identify the Rotation:
(x, y) to (y, -x)
90 Clockwise
The vertices of a figure are given. Find the coordinates of the image. F(1, 2), G(3, 5), H(3, 2) 180° about the origin.
F'(-1, -2) G'(-3, -5) H'(-3, -2)
A transformation in which a figure slides but does not turn. Every point of the figure moves the same distance and in the same direction.
Translation
The coordinates of a triangle are: J(-1,3), K(-1, 1) and L(-4,1). If the triangle is translated 4 units right and 3 units down, what are the new coordinates?
J'(3,0) K'(3,-2) L'(0, -2)
The vertices of a triangle are A(−1, 1), B(−1, 3), and C(6, 3). What are the coordinates of the new image if it is reflected in the y-axis?
A'(1, 1) B'(1, 3) C'(-6, 3)
Identify the rotation:
(4, 5) to (5, -4)
90 Clockwise
Point A has coordinates (9, 10). It is rotated 180 about the origin. Find the new coordinates.
A'(-9, -10)
A ________ creates a mirror image of the original figure.
Reflection
Describe the translation of the point to its image:
(3, -2) to (1,0)
Left 2
Up 2
A point P has coordinates (-2, 5). What would the coordinates of the new point be if it was reflected over the x-axis?
P'(-2, -5)
Identify the rotation:
(-3, -6) to (6, -3)
90 Counterclockwise
A________ is a turn about the origin.
Rotation
Describe the translation of the point to its image:
(-8, -4) to (-3, 5)
Up 9
Identify the coordinates of the image if it is reflected in the y-axis:
A(3, 2), B(4, 4), C(1, 3)
A'(-3, 2) B'(-4, 4) C'(-1, 3)
The vertices of a triangle are J(1, 2), K(4, 2), and L(1, −3).If the triangle is rotated 90 clockwise, what are the new coordinates?
J'(2, -1) K'(2, -4) L'(-3, -1)
Matching sides are called_____________.
A point X has coordinates (5, 8). If it is translated 2 units left and 5 units down, what are its new coordinates?
X'(3, 3)
Which letters look the same when reflected in the line?
E I T O
______________________
E I O
A triangle has vertices Q(4, 5), R(4, 0), and S(1, 0). If the triangle is rotated 90 counterclockwise what are the new coordinates?
Q'(-5, 4) R'(0, 4) S'(0, 1)