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