Answer:
PAGE 1
3.) d
4.) e
PAGE 2
5.) a
6.) e
PAGE 3
1.) b
2.) d
PAGE 4
7.) Graph C
8.) Graph B
PAGE 5
9.) Dilation with the center at the origin and a scale factor of 2.
10.) Dilation with the center at the origin and a scale factor of 1/3.
Step-by-step explanation:
PAGE 1
3.) d
b/c the rule for x-axis is (x,y) --> (x, -y)
One of the points is (1, 1) ==> (1, -1)
4.) The rule for y-axis is (x, y) --> (-x, y)
A(-5, 3) --> A'(5, 3)
B(2, 6) --> B'(-2, 6)
C(-1, -7) --> C'(1, -7)
PAGE 2
5.) The rule for x-axis is (x,y) --> (x, -y)
A(-5, 3) ---> A'(-5, -3)
B(2, 6) ---> B'(2, -6)
C(-1, -7) ---> C'(-1, 7)
6.) The rule for 90 degrees clockwise is (x, y) --> (y, -x)
B(3, 4) ---> B'(4, -3)
PAGE 3
1.) On the transitions right is positive and left is negative
So 2 units to the right = +2
And 9 units down = - 9
So (x, y) --> (x + 2, y - 9)
2.) A is wrong b/c that translation is (x, y) ---> (x + 3, y -3)
B is wrong b/c the translation is (x, y) ---> (x + 3, y + 3)
C is wrong b/c the translation is (x, y) ---> (x - 3, y + 3)
D is correct b/c the translation is (x, y) --->(x -3 , y -3)
A(6, 6) --> A'(3, 3) B(7, 4) --> B'(4, 1) C(4, 4) --> C'(1, 1)
PAGE 4
7.) The rule for 90 degrees rotation counterclockwise is (x, y) --> (-y, x)
The correct graph would show A(-3, 3) ----> (-3, -3)
The only graph that shows this is Graph C
8.) The rule for 180 degrees rotation is (x, y) ----> (-x, -y)
The correct graph would show A(-3, 3) ----> A'(3, -3)
Graph B is the only one that ALL the angles follow this rule
PAGE 5
9.) It is Dilation with the center at the origin and a scale factor of 2.
B/c --> A(3, 3) ---> A'(6, 6) B(2, 0) ---> B'(4, 0) C(5, 2) ---> C'(10, 4)
(3*2= 6, 3*2=6) (2*2= 4, 0*2= 0) (5*2= 10, 2*2= 4)
10.) It is Dilation with the center at the origin and a scale factor of 1/3
B/c ---> A(-3, 6) --> A'(-1, 2) B(12, 3) ----> B'(4, 1) C(-6, -6) ---> C'(-2, -2)
(-3*1/3= -1, 6*1/3= 2) (12*1/3= 4, 3*1/3= 1) (-6*1/3= -2, -6*1/3= -2)
Hope this helps ya!!!
