Vocabulary
What is a rotation?
A turn
Translate (2, 3) 4 units right. What are the coordinates?
(6,3)
Reflect A(3, 5) over the x-axis.
A'(3,-5)
Rotate A(2, 4) 90° clockwise about the origin.
A'(4,-2)
What is a reflection?
A flip
What is the rule for translating a figure 3 units left and 2 units up?
(x,y) --> (x - 3, y + 2)
Reflect A(-4, 2) over the y-axis.
A'(4,2)
Rotate A(3, 1) 180° about the origin.
A'(-3,-1)
What is a translation?
A slide
Point B(-2, 5) is translated using (x + 4, y - 3). What are B′'s coordinates?
B'(2,2)
What is the rule for a reflection over the x-axis?
(x,y) --> (x,-y)
What is the rule for a 90° counterclockwise rotation?
(x,y)-->(-x,y)
What is the name for the original image and the name for the translated image?
Pre-image and Image
Triangle ABC has A(1, 2), B(3, 2), C(2, 5). Translate it 2 left and 4 down. Give all three new coordinates.
A'(-1,-2), B'(1,-2), C'(0,1)
A(2, -5) → A′(-2, -5). What transformation occurred?
Reflection over the Y axis
Point P(4, -2) is rotated 90° counterclockwise. What are the coordinates of P′?
P'(2,4)
What does congruent mean?
The same
A point moves from (-3, 4) to (5, -2). What translation occurred?
(x+8, y-6) OR 8 units to the right and 6 units down
Point P′ is (-6, 4) after a reflection over the x-axis. What were the original coordinates of P?
P(-6,-4)
A point is rotated 90° clockwise and becomes (3, -7). What were its original coordinates?
(7,3)