What is the algebraic representation (rule) for translation?
(x , y) --> (x+a , y+b)
Trapezoid KLMN reflects over the x-axis to form trapezoid K'L'M'N'. Are the two trapezoids congruent?
Yes
Reflected figures ARE congruent
same size same shape
Trapezoid ABCD is rotated counterclockwise 90 degrees to create trapezoid A'B'C'D'. Which statement is true?
a) The area of trapezoid A'B'C'D' is not equal to the area of trapezoid ABCD
b) Trapezoid ABCD is not congruent to trapezoid A'B'C'D'
c) The angles of trapezoid ABCD are congruent to trapezoid A'B'C'D'
C
Rotated figures are CONGRUENT
If a figure is being dilated by a scale factor of 4, would the dilated figure be enlarged or reduced?
Enlarged
What does congruent mean?
Same size same shape
Which of the following statements is true regarding translation rules?
a) right means adding; down means adding
b) right means subtracting; down means adding
c) left means subtracting; up means adding
d) left means adding; up means adding
C
Left movement is subtracting from x-value
Up movement is adding to y-value
Triangle ABC reflects of the y-axis to form triangle A'B'C'. Are the side lengths of triangle A'B'C' congruent to triangle ABC?
Yes
Square ABCD is rotated counterclockwise 180 degrees to create square A'B'C'D'. Which statement is true?
a) The area of square A'B'C'D' is equal to the area of square ABCD
b) Square ABCD is not congruent to square A'B'C'D'
c) The side lengths are Square ABCD are longer than Square A'B'C'D'
A
They are CONGRUENT!
Shapes that are dilations of each other are congruent. True or False?
False
They are SIMILAR
Same shape different size
What are the four transformation types in ALPHABETICAL order?
Dilation
Reflection
Rotation
Translation
Coordinate (4 , 8) is being translated left 2 and up 1. What is the new coordinate?
(2 , 9)
What is the algebraic representation (rule) for a figure reflected over the x-axis?
(x, y) --> (x, -y)
What is the rule if a shape is rotated 90 degrees?
(x, y) --> (-y, x)
What is the rule if a shape is being dilated by a scale factor of 2?
(x , y) --> (2x , 2y)
Which algebraic representation would PRESERVE congruence(a shape would stay congruent)?
a) (x , y) --> (2x , 2y)
b) (x , y) --> (x+2 , 2y)
c) (x , y) --> (x, -y)
d) (x , y) --> (-x , 3y)
C
None of the x or y values are being multiplied (dilated)
Coordinate (-5 , 0) is translated left 5 and down 5. What is the new coordinate?
(-10, -5)
Figure ABC is reflected over the y-axis to create figure DEF. Did the interior angles of the two figures change?
No
Reflected images are CONGRUENT.
Same size and same shape
If coordinate (2, 3) is rotated 180 degrees, what would the new coordinate be?
(-2 , -3)
(x , y) --> (-x , -y)
A rectangle is graphed on a coordinate plane. Which transformation will result in a rectangle that is NOT congruent to the original rectangle?
a) rotation of 180 degrees
b) dilation by scale factor of 0.5
c) reflection over the y-axis
d) translated right 3 and down 4
B
Dilated figures are NOT congruent
Which algebraic representation would NOT preserve congruence?
a) (x , y) --> (x , -y)
b) (x , y) --> (x+2 , y+2)
c) (x , y) --> (y, -x)
d) (x , y) --> (3x , 3y)
D
The x and y values are being multiplied (dilated)
Coordinate A is (6, 8) and is translated to become coordinated B which is (8, 2). Describe, in words, what translation is happening.
Left/Right
Up/Down
Example answer: left 3, up 1
Right 2, down 6
Square 1 reflects over the x-axis to create Square 2. The area of Square 2 increases because of the reflection. True or False
False
Reflected figures are CONGRUENT!!!!!!!!
same size and same shape
If a shape is rotated 90 degrees clockwise, it would look the same as if it was rotated 270 degrees counterclockwise? True or False?
True
A triangle is graphed on a coordinate plane. Which transformation will result in a triangle that is NOT congruent to the original triangle?
a) rotation of 180 degrees
b) dilation by scale factor of 1
c) reflection over the y-axis
d) dilation by scale factor of 3
D
scale factor of 3 would enlarge the figure
Name 2 autobots and 2 decepticons
answers will vary