Transformations
What are the three rigid transformations?
Translation, Rotation, Reflection
A figure is transformed under (x,y) -> (x+4, y-4), what kind of transformation was done?
Translation
What is the angle of rotation for a rectangle?
180o
Angle 1 and Angle 3 are vertical angles. If Angle 1= 60o, what is the measure of Angle 3?
Angle 3 = 60o
Where did Ms. Ortiz go to undergrad?
University of Pittsburgh
Dilation
A figure is transformed under (x,y) -> (4x, 4y), what kind of transformation was done?
Dilation
How many lines of symmetry does a triangle have?
3
Given Angle 1 and Angle 5 are corresponding angles, if Angle 1= 125o, how many degrees is Angle 5?
Angle 5 = 125o
How many siblings does Ms. Ortiz have?
8
Why are the transformations called rigid?
The figures are congruent after the transformation.
What is the image of figure ABC with coordinates A(3, 2), B(3, 4), C(6, 1) after the transformation (x, y) -> (x + 4, y- 8)?
A'(7, -6)
B'(7, -4)
C'(10, -7)
What is the degree of a rotation of a square?
90o
Angle 2 = 52o
What two countries did Ms. Ortiz go to this summer?
Spain & Italy
Which transformation moves the figure but does not change orientation?
Translation
What is the image of figure ABC with coordinates A(3, 2), B(3, 4), C(6, 1) after the transformation (x, y) -> (3x, 3y)?
A'(8, 6)
B'(9, 12)
C'(18, 3)
How many lines of symmetry does a regular octagon have?
8 lines of symmetry
Angle 8= 54o
Name one sport Ms. Ortiz played in high school.
Basketball and Field Hockey
What transformation moves and changes the orientation of the figure?
Rotation
Reflection
What is the image of figure ABC with coordinates A(-3, 2), B(3, 4), C(6, -1) after the transformation (x, y) -> (-x, y)?
A'(3, 2)
B'(-3, 4)
C'(-6, -1)
What is the angle of rotation of an octagon?
45o
If Angle 4 and Angle 5 are same side interior angles, what is the measure of Angle 5 if Angle 4 = 108o.
Angle 5 = 72o
Where was Ms. Ortiz born?
Cleveland, OH