Transformation Take-Home Quiz

• 30

• 45

• 60

• 72

What is the new coordinate for point Y after the given transformation?

• Y'(3, 1)

• Y'(1, 3)

• Y'(-5, -3)

• Y'(-3, -5)

Describe the translation of the figures using both translation notation and vector notation.

• (x,y) -> (x+1, y+ 3) // <1, 3>

• (x,y) -> (x+3, y+ 1) // <1, 3>

• (x,y) -> (x+3, y+ 1) // <3, 1>

• (x,y) -> (x-3, y- 1) // <3, 1>

The points A(-2,5) B(0,1) and

C(4, 17) lie on the function f(x)=x²+1, what are the new coordinate if f(x) is reflected across the line y = x?

• A'(3, 3) B'(4, 2) C'(6, 12)

• A'(2, 5) B'(0, 1) C'(-4, 17)

• A'(2, -5) B'(0, -1) C'(-4, -17)

• A'(5, -2) B'(1, 0) C'(17, 4)

Triangle DEF is given by:

D(−1, −1), E(−3, 2), F(1, 4). What are the new coordinates if the triangle is rotated 270^o clockwise?

• D'(1, -1) E'(-2, -3) F'(-4, 1)

• D'(-1, 1) E'(2, 3) F'(4, -1)

• D'(-1, 1) E'(-2, 3) F'(4, 1)

• D'(1, 1) E'(3, -2) F'(-1, -4)

Which transformations are examples of isometry? Choose all that apply.

• Translation

• Dilation

• Reflection

• Rotation

• Inflation

What are the new coordinates if ABC is dilated by 3/2?

• A'(3, 3) B'(6, -3) C'(-6, 0)

• A'(-1.5, 1.5) B'(3, 1.5) C'(-3, 0)

• A'(2.5, 2.5) B'(3.5, -2.5) C'(-3.5, 1.5)

• A'(1.5, 1.5) B'(3, -1.5) C'(-3, 0)

What is the image of A if ABCD is dilated by a factor of 2 from the point (6, 7)?

• A'(8, 8)

• A'(2, 1)

• A'(10, 11)

• A'(3, 6)

What is the image of C if ABCD is rotated by 180^o?

• C'(3, 5)

• C'(5, 3)

• C'(-3, -5)

• C'(-5, -3)

What is the magnitude of the force modeled by the vector <-5, 10>

• 12.24

• 8.66

• 15

• 11.18