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Today – Wednesday, April 24 2013
Checking for completion of Reflection Discovery WS
Warm Up: EOC Practice #5
Learning Target : Given a pre-image, create an image by transformation by reflection or rotation
Independent Practice
WARM UP (15 minutes):
EOC PRACTICE #5
We will check answers as a class.
CHECKING FOR COMPLETION:
REFLECTION DISCOVERY WORKSHEET
Take this worksheet out so I can check it!
REFLECTION across the x-axis:
𝐴𝐵
𝐶𝐷
Reflection across the x-axis so the x-axis is the mirror
5
5
𝐴 ′
𝐷′
𝐵′
𝐶 ′
Notice that all x-coordinates of the pre-image and image DOESN’T change but the y-coordinates change signs!RULE:
The distances from the mirror to each point is equal!
REFLECTION across the y-axis:
𝐴𝐵
𝐶𝐷
Reflection across the y-axis so the y-axis is the mirror
33𝐵′
𝐶 ′𝐷′
𝐴′
Notice that all y-coordinates of the pre-image and image DOESN’T change but the x-coordinates change signs!RULE:
The distances from the mirror to each point is equal!
REFLECTION across line :
𝐴𝐵
𝐶𝐷
Reflection across the line
𝐵′𝐶 ′
𝐷′
𝐴′
Notice that the x and y coordinates switch values from pre-image to image.RULE:
REFLECTION across line :
𝐴𝐵
𝐶𝐷
Reflection across the line
𝐷′𝐴 ′
𝐵′
𝐶 ′
Notice that the x and y coordinates switch values from pre-image to image.RULE:
REFLECTION:
(−5 ,5)→(2 ,5)𝑥− 𝑦 (−5 ,5)→(−5 ,−5)−𝑥 𝑦 (−5 ,5)→(5 ,5)
(𝑥 , 𝑦 )→(𝑦 , 𝑥) (−5 ,5)→(5 ,−5)(𝑥 , 𝑦 )→(− 𝑦 ,− 𝑥) (−5 ,5)→(−5 ,5)
PRACTICE: Graph . Reflect the pre-image across the y-axis.
RULE FOR RELECTION ACROSS Y-AXIS:
𝐴𝐵
𝐶
𝐴 ′ 𝐵 ′
𝐶 ′
PRACTICE: Graph . Reflect the pre-image across the line .EACH POINT IN A REFLECTION IS EQUAL DISTANT FROM THE LINE OF REFLECTION
𝐴𝐵
𝐶
𝐴 ′ 𝐵 ′
𝐶 ′
𝑥=1
In Class HW #2:
9.3 Reflection worksheet
20 minutes then you will turn it in then we are moving on to
rotation.
INDEPENDENT WORK(20 minutes):
ROTATION DISCOVERY WORKSHEET
CLOCKWISE ROTATION:
𝐴𝐵
𝐶𝐷
Reflection about the point A
𝐴 ′
𝐷′
𝐵′𝐶 ′
Notice that all x-coordinates of the pre-image and image DOESN’T change but the y-coordinates change signs!RULE:
ROTATION:
(−5 ,5)→(2 ,5)𝑥− 𝑦 (−5 ,5)→(−5 ,−5)−𝑥 𝑦 (−5 ,5)→(5 ,5)
(𝑥 , 𝑦 )→(𝑦 , 𝑥) (−5 ,5)→(5 ,−5)(𝑥 , 𝑦 )→(− 𝑦 ,− 𝑥) (−5 ,5)→(−5 ,5)(𝑥 , 𝑦 )→(− 𝑦 ,𝑥) (−5 ,5)→(−5 ,−5)(𝑥 , 𝑦 )→(−𝑥 ,− 𝑦 ) (−5 ,5)→(5 ,−5)(𝑥 , 𝑦 )→(𝑦 ,−𝑥)
HOMEWORK #2:
9.3 Reflection Worksheet
If finished, work on other assignments:
HW #1: Pg. 576: 3-14, 31