Translations
What does "translation" mean?
Slide
What does "rotation" mean?
Turn
What does "reflection" mean?
Flip
Which coordinate comes first in a coordinate pair?
X-coordinate
What is the rule for reading and writing a coordinate point?
X-coordinate is first, y-coordinate is second
If a shape is moving 3 units up, what axis is being affected?
Y-Axis
If I am turning a shape 90 degrees clockwise, am I turning to the right or to the left?
Right
If I am flipping a shape and it goes from quadrant 1 to quadrant 4, which axis am I reflecting on?
X-Axis
Which type of transformation is this?
Vertex A (-4,7) ---> (7,4)
Vertex B (-6,1) ---> (1,6)
Vertex C (-2,1) ---> (1,2)
Rotation 90 degrees clockwise
True or False: When you translate a shape, each of the vertices move a different amount of units. (Ex. Vertex A moves 5 units left and Vertex B moves 12 units left)
False
I translate a shape 4 units to the left. If one vertex of my shape was originally at (-3, 5), where is that same vertex after the translation?
(-7, 5)
If you rotate a shape 180 degrees counterclockwise that starts in quadrant 3, which quadrant will you end up in?
Quadrant 1
If I reflect a shape across a line that goes through 0,0 and 1,1, which axis is affected?
Both axis'
Which type of transformation is this?
Vertex A (1,1) ---> (7,5)
Vertex B (1,7) ---> (7,11)
Vertex C (4,1) ---> (10,5)
Translation of 6 units right and 4 units up
What is the rule when you reflect a shape across the y-axis?
X- Coordinate switches its sign
Y-coordinate stays the same
If I gave you algebraic expression that states "As a result of a translation, x and y become x'=x+6 and y'=y-3, how would you describe the translation? (Think units)
You are moving the shape 6 units right and 3 units down.
If I gave you algebraic expression that states "As a result of a rotation, +x and +y become x'=-y and y'=x, how would you describe the rotation?
Rotation 90 degrees clockwise
If I gave you algebraic expression that states "As a result of a reflection, +x and +y become x'=-x and y'=y, how would you describe the reflection?
Reflection across the y-axis
Which type of transformation is this?
Vertex A (-12,2) ---> (2,-12)
Vertex B (-9,1) ---> (1,-9)
Vertex C (-9,-3) ---> (-3,-9)
Vertex D (-11,-4) ---> (-4,-11)
Vertex E (-13,-1) ---> (-1,-13)
Reflection across a line that goes through 0,0 and 1,1
What is the rule when we rotate a shape 180 degrees?
X-Coordinate Switches its sign
Y-coordinate switches its sign
Describe the new coordinate points of each of the following vertices after this translation:
x'=x + 16 / 2 +1 and y'= y - 2(3) + 5
Vertex A (2,3), Vertex B (6,8), Vertex C (11,-2)
Vertex A (11,-8)
Vertex B (15, -3)
Vertex C (20, -13)
Describe the new coordinate points of each of the following vertices after this rotation:
x'=y and y'=-x
Vertex A (-7, -3) Vertex B (-5, 4) Vertex C (0, 5) Vertex D (-2, -2)
Vertex A (3, -7)
Vertex B (-4, -5)
Vertex C (-5, 0)
Vertex D (2, -2)
Describe the new coordinate points of each of the following vertices after this reflection:
x'=x and y'=-y
Vertex A (-11,-9) Vertex B (-7,-8) Vertex C (-8,-12) Vertex D (-12,-13)
Vertex A (-11, 9)
Vertex B (-7, 8)
Vertex C (-8, 12)
Vertex D (-12, 13)
Which type(s) of transformation is this?
Vertex A (7,-10) ---> (10,7) ---> (-10,7)
Vertex B (10,-10) ---> (10,10) ---> (-10,10)
Vertex C (4,-14) ---> (14,4) ---> (-14,4)
Vertex D (7,-17) ---> (17,7) ---> (-17,7)
Rotation 90 degrees counterclockwise and then reflected across the y-axis
What could be a rule if you are rotating a shape 270 degrees counterclockwise?
X-Coordinate switches its sign and becomes the y-Coordinate
Y-coordinate Becomes the X-Coordinate