Definitions
the original figure
pre image
Ms. Jackson has a 10-inch square piece of plywood for a birdhouse. She rotates the piece 90 degrees counterclockwise. What is the length of each side of the piece of plywood?
10 inches!
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(Isosceles triangle has 2 congruent angles) Ms. Beasley slides a flag shaped like an isosceles triangle up to the top of a 10-meter flagpole. How many congruent angles does the flag have now?
2
Principal Ford has a rectangular table that measures 4 feet wide and has a length of 5 feet. She moves the table from one corner of her office to the opposite corner to reflect the original position of the table. What is the length of in feet of the table after the rotations?
5 feet
figure that results from a transformation
image
Which direction is counterclockwise
equal or the same
congruent
(13,6)
What 2 directions are horizontal? What about vertical?
Horizontal: left and right
Vertical: up and down
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The coordinates are transformed using the rule
(x,y)-->(-x,-y). What degree (90, 180 or 270) and which direction (clockwise or counterclockwise) is this mapping notation
180 degrees clockwise or counterclockwise
a transformation in which a figure is turned around a point
rotation
What is the formula for mapping notation?
(x,y)--> (x+ or -, y+ or -)
What coordinate changes when we reflect across the x axis? What about the y axis?
Y axis: x values change
the movement of a figure along a straight line
translation
The coordinates are transformed using the rule
(x,y)-->(y,-x). What degree (90, 180 or 270) and which direction (clockwise or counterclockwise) is this mapping notation
90 degrees clockwise
a change in position of a figure
transformation
A triangle with vertices (-2,3), (5,4), and (-1,-1) is translated using the rule (x,y)--> (x-3, y+4). What are the new coordinates?
(-5,7), (2,8), (-4,3)
point (2,-4) is reflected across the x axis. what are the coordinates of its image?
(2,4)
a transformation of a figure that flips the figure across a given line
reflection
The coordinates are transformed using the rule
(x,y)-->(-x,y). What degree (90, 180 or 270) and which direction (clockwise or counterclockwise) is this mapping notation
90 degrees counterclockwise
prime notation
A triangle with vertices (-1,1), (2,-1), and (3,0) is translated using the rule (x,y)--> (x+2, y-6). What are the new coordinates?
(1,-5) (4,-7) (5,-6)
point (-3,1) is reflected across the y axis. What are the coordinates of its image?
(3,1)