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3.) d

4.) e

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5.) a

6.) e

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1.) b

2.) d

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7.) Graph C

8.) Graph B

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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:

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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)

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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)

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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)

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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

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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!!!

m∠a is 90°

m∠b is 40°