GEOMETRY 7.1A
Reflections
preimage image'
Flip over the x axis: (x,y)⇒(x,-y)'
Flip over the y axis: (x,y)⇒(-x,y)'
image'
preimage
y axis
x axis
image'
Transformations
Ex1.
D
a).
Sketch the reflection of the following
figure about the y-axis.
C
B
A
b).
Sketch the reflection of the
following figure about the x-axis.
Ex2.
a) Sketch the reflection of the following figure about the y­axis. b) Sketch the reflection of the following figure about the x­axis. Translations
preimage
image'
Slide (10,-3): (x,y)⇒(x+10,y-3)'
x moves right/left
preimage
10
y moves up/down
image'
-3
Ex3. Using the drawing ,
what is the image of ABCD
under the translation < 3, -5 >.
D
C
B
A
Ex4. Using the drawing , what is the image of C under the translation (4,2). Ex5. Using the drawing , what is the image of E under the translation (­2,­1). OLD STUFF from Math 1­2 and earlier this year
Ex6. Given the following table:
x y
­1 3
0 0
1 ­3
2 ­6
What is the equation of the line?
Ex7. Given the graph, what is the equation of the line?
Ex8. What is the solution to the inequality?
Ex9. What is the equation of the line that passes thru (­3,­1) and has a slope
of ­1/3?
­5 ­ 7x < 30
Ex10.
What is the equation of the line that
passes thru (­6,4) and (4,­1)?
Assignment#_____________
WS 7.1A