Question

Apply the dilation D to the polygon with the given vertices. Name the coordinates of the image points. Identify and describe the transformation.
D: (x,y) → (4x,4y)
A (2,1) B (4,1) C (4,-3)


A. This is a dilation about (0, 0) with a scale factor of 0.25; A’(8, 4), B’(16, 4), C’(16, –12).

B. This is a dilation about (0, 0) with a scale factor of 4; A’(8, 4), B’(16, 4), C’(16, –12).

C. This is a dilation about (0, 0) with a scale factor of 0.25; A’(0.5, 0.25), B’(1, 0.25), C’(1, –0.75).

D. This is a dilation about (0, 0) with a scale factor of 4; A’(0.5, 0.25), B’(1, 0.25), C’(1, –0.75).

Answer 1

To solve this you just do ehat was done to the coordinates. So x goes from x to 4x do you are mutiplying by 4. and the same goes for y. so your scale factor is 4

 

2 times 4 is 8 and 1 times 4 is four

A(8,4)

4 times 4 is 16 and 1 times four is four

B(16,4)

Four times four is sixteen and negitive three times four is negitive 12

C(16,-12)

 

Given the options the answer will be B.