Which rule yields the dilation of the figure BCDE centered at the origin?

Responses
A (x, y) → (4x, 4y)(x, y) → (4x, 4y)
B (x, y) → (

x,

y)(x, y) → ( 1 4 x, 1 4 y)
C (x, y) → (x + 4, y + 4)(x, y) → (x + 4, y + 4)
D (x, y) → (x +

, y +

)(x, y) → (x + 1 4 , y + 1 4 )

5 answers

The correct answer is A. (x, y) → (4x, 4y). A dilation centered at the origin involves scaling the coordinates of a point by a certain factor, in this case 4. This rule yields the desired dilation of the figure BCDE.
postive??
Apologies for the confusion. Yes, the correct answer is A. (x, y) → (4x, 4y). It involves scaling the coordinates of a point by a factor of 4, in both the x and y directions. This represents a positive dilation.
Trapezoid
is translated 4 units right and 6 units up. Write a rule that describes this transformation.

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The correct rule that describes the translation of the trapezoid 4 units right and 6 units up is:

(x, y) → (x + 4, y + 6)