Rotations
What is another word used for Rotation?
Spin/Turn
What coordinate (x or y) gets affected when a figure moves to the right 5 units?
The X-Coordinate
In your own words, explain the term congruent.
"The Same"
"Equal"
"Same Sides, Same Angles"
"When 2 figures/shapes move the same amount or direction"
What is the rule for a 90 degree clockwise rotation?
(x,y) turns to...
90 CW (y,-x)
What is another word for Translation?
Slide
What is the rule for 180 degree rotations?
(x,y) turns to...
(-x,-y)
Write the rules for a reflection over the x axis and y axis.
X-axis: (x, -y)
Y-axis: (-x, y)
Write a triangle congruence statement for triangles ABC and DEF
△ABC ≅ △DEF
What is the same as 90 degrees counterclockwise?
What is another word for Reflection?
Flip
What is the rule for 90 degree counterclockwise rotations?
(x,y) turns to...
90 CCW (-y,x)
Consider Triangle ABC where A(7,4) B(-1,-6) C(-9, 1).
What are the Coordinates of Triangle A'B'C' when it is reflected over the x-axis?
A(7,-4) B(-1,6) C(-9, -1).
Write all of the side congruent statements for △ABC and △DEF's sides.
AB ≅ DE
BC ≅ EF
AC ≅ FD
What is the same as 90 degrees clockwise?
270 degrees counterclockwise
What do you need to perform a rotation?
(THERE ARE 2 THINGS)
Angle of Rotation(90 ccw, 90 cw, 180, etc)
Center of Rotation (the point, a fixed point)
Consider Triangle ABC where A(7,4) B(-1,-6) C(-9, 1).
What are the Coordinates of Triangle A'B'C' when it is rotated 180 degrees clockwise?
A(-7,-4) B(1,6) C(9, -1).
Consider Trapezoid DEFG where D(0,-9) E(4,-9) F(1,-6) G(3,-6).
Write the new coordinates of Trapezoid D'E'F'G' when it is translated 6 units to the left.
D(-6,-9) E(-2,-9) F(-5,-6) G(-3,-6).
Write all of the angle congruent statements for △ABC and △DEF's angles.
<A ≅ <D
<B ≅ <E
<C ≅ <F
Consider Triangle ABC where A(57,36) B(2,17) C(22, -13).
What are the Coordinates of Triangle A'B'C' when it is rotated 180 degrees clockwise?
A(-57,-36) B(-2,-17) C(-22, 13).
What is -18?
-1
Consider Triangle ABC where A(7,4) B(-1,-6) C(-9, 1).
What are the Coordinates of Triangle A'B'C' when it is rotated 90 degrees counterclockwise?
A(-4,7) B(6,-1) C(-1, -9).
Consider Trapezoid DEFG where D(0,-9) E(4,-9) F(1,-6) G(3,-6).
Write the new coordinates of Trapezoid D'E'F'G when it is reflected over the y-axis and moved 6 units down.
D(0,-15) E(-4,-15) F(-1,-12) G(-3,-12)
Write a triangle, sides, and angles congruence statements for Triangle MNO and Triangle QRS
Triangle MNO ≅ Triangle QRS
MN ≅ QR <M ≅ <Q
NO ≅ RS <N ≅ < R
OM ≅ SQ <O ≅ <S
A figure starts in Quadrant 2 and is then moved 90 degrees counterclockwise.
What Quadrant is the figure after the rotation?
Quadrant 3
No! It is all the same thing. Moving to the right or left would result in the same ending.