Question 1

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D' . Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D' ?

Accepted Answer

(x, y ) → (2.5 x, 2.5y)

Answer

(x, y ) →(x -1.5 ,  y + 3)

Answer

(x, y ) → (0.4 x, 0.4y)

Answer

(x, y ) →(x + 3 ,  y + 1.5)

Question 2

Circle I was dilated with the origin as the center of dilation to create Circle II. Which rule best represents the dilation applied to Circle I to create Circle II?

Accepted Answer

( x, y) →($\frac{8}{3}$x, $\frac{8}{3}$y)

Answer

( x, y) → (x + 5, y + 5)

Answer

( x, y) → (x - 5, y - 5)

Answer

( x, y) →($\frac{3}{8}$x, $\frac{3}{8}$y)

Question 3

Figure S, the small arrow, was dilated with the origin as the center of dilation to create Figure T, the large arrow. Which rule best represents the dilation that was applied to Figure S to create Figure T?

Accepted Answer

(x ,y ) → (2x , 2y )

Answer

(x ,y ) → ($\frac{1}{4}$x ,$\frac{1}{4}$y )

Answer

(x ,y ) → ($\frac{1}{2}$x , $\frac{1}{2}$y )

Answer

(x ,y ) → (4x , 4y )

Question 4

Triangle MNP is graphed on a coordinate grid with vertices at M ( -3, −6), N (0, 3) and P (6, −3). Triangle MNP is dilated by a scale factor of u with the origin as the center of dilation to create triangle MNP′. Which ordered pair represents the coordinates of the vertex P′?

Accepted Answer

(6u, −3u )

Answer

($\frac{6}{u}$ , −$\frac{3}{u}$ )

Answer

(6 + u, −3 + u)

Answer

(6 +1/u ,-3  + 1/u)

Question 5

Quadrilateral FGHJ was dilated with the origin as the center of dilation to create quadrilateral F' G′ ′H′J′. Which rule best represents the dilation that was applied to quadrilateral FGHJ to create quadrilateral F' G′ ′H′J′?

Accepted Answer

(x , y)→ (1.4 x, 1.4y)

Answer

(x , y)→ ($\frac{5}{7}$ x, $\frac{5}{7}$y)

Answer

(x , y)→ ( x - 2, y + 1)

Answer

(x , y)→ ( x + 1, y + 2)

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