warm up
DESCRIPTION
Warm up. A function is even. Point A(-3, 4) is on the even function. Name another point. A function is even. Point B(9, 2) is on the even function. Name another point. Reflect C(-5, -3) over the y-axis. Reflect D(2, -4) over the x-axis. Reflect E(-12, 4) over y = -x. (3 , 4). (- 9, 4). - PowerPoint PPT PresentationTRANSCRIPT
Warm up1. A function is even. Point A(-3, 4) is
on the even function. Name another point.
2. A function is even. Point B(9, 2) is on the even function. Name another point.
3. Reflect C(-5, -3) over the y-axis.4. Reflect D(2, -4) over the x-axis.5. Reflect E(-12, 4) over y = -x.
(3, 4)
(-9, 4)C’(5, -3)D’(2, 4)
E’(-4, 12)
Review Homework
Skills CheckAre you ready?
Rotations
Rotate 90 Clockwise about the Origin
(Same as 270 Counterclockwise)
Change the sign of x and switch the order
x,y y, x
Rotate 90° clockwiseabout the origin
A( 7, 3) A'( , )B(1, 4) B'( , )C(3, 1) C '( , )
Rotate 90° clockwiseabout the origin
A( 7, 3) A' 3,7B(1, 4) B' 4, 1C(3, 1) C ' 1, 3
Rotate 90 Counterclockwise about the
Origin(Same as 270 Clockwise)
Change the sign of y and switch the order
x,y y,x
Rotate 90° counterclockwiseabout the origin
E( 3, 2) ( , )F( 6, 5) ( , )G(0, 2) ( , )
Rotate 90° counterclockwiseabout the origin
E( 3, 2) E' 2, 3F( 6, 5) F' 5, 6G(0, 2) G ' 2,0
Rotate 180 about the Origin
ONLY Change the signs
,,y yx x
Rotate 180° about the origin
Q( 8, 2) Q '( , )R( 8, 9) R'( , )S( 2, 2) S'( , )T( 2, 9) T'( , )
Rotate 180° about the origin
Q( 8, 2) Q ' 8,2R( 8, 9) R' 8,9S( 2, 2) S' 2,2T( 2, 9) T' 2,9
Any figure that can be turned or rotated less than 360° about a fixed point so that the figure looks exactly as it does in its original position.
Rotational Symmetry
Ambigrams – Look the same right side up and upside down
Rotational Symmetry in the parking lot
Which figures have rotational symmetry? For those that do, describe the rotation that map the figure onto itself.
Regular pentagon
center. itsabout 72every Yes
Isosceles triangle
Rhombus
center. itsabout 180every Yes
ClassworkRotations Practice
Worksheet
HomeworkRotations HW
Worksheet