Question 1

A polygon will be dilated on a coordinate grid to create a smaller polygon. The polygon is dilated using the origin as the center of dilation.  Which rule could represent this dilation?

Accepted Answer

(x, y) --> ($\frac{4}{5}$x, $\frac{4}{5}$y)

Answer

(x, y) --> (.8 - x, .8 - y)

Answer

(x, y) --> ($\frac{5}{4}$x, $\frac{5}{4}$y)

Answer

(x, y) --> (x + 4, y + 4)

Question 2

A triangle will be dilated on a coordinate grid to create a larger triangle. A triangle is dilated using the origin as the center of dilation. Which rule could represent this dilation?

Accepted Answer

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

Answer

(x, y) --> ($\frac{2}{9}$x, $\frac{2}{9}$y)

Answer

(x, y) --> (x + 8, y + 3)

Answer

(x, y) --> (-x, -y)

Question 3

A polygon is graphed on a coordinate grid with (x, y) representing the location of a certain point on the polygon. The polygon is transformed using the rule (x, y) --> (ax, ay). Which statement must be true?

Accepted Answer

If a is greater than 1, the image of the polygon is larger to the polygon.

Answer

If a is greater than 1, the image of the polygon is congruent to the polygon.

Answer

If a is greater than 1, the image of the polygon is smaller than the polygon.

Answer

If a is between 0 and 1, the image of the polygon is congruent to the polygon.

Question 4

A rectangle with a perimeter of 26 units is graphed on a coordinate grid. The rectangle is dilated by a scale factor of .75 with the origin as the center of dilation.  If (x, y) represents the location of any point on the original rectangle, which ordered pair represents the coordinates of the corresponding point on the resulting square?

Accepted Answer

($\frac{3}{4}$x, $\frac{3}{4}$y)

Answer

(x - 26, y - 26)

Answer

(x + .75, y + .75)

Answer

(26x, 26y)

Question 5

Square PQRS is graphed on a coordinate grid with vertices at P (4, 4), Q (-1, 4), R (-1, -1) S (4, -1). Square PQRS is dilated by a scale factor of m with the origin as the center of dilation to create square P'Q'R'S'.  Which ordered pair represents the coordinate of vertex S'?

Accepted Answer

(4m, -1m)

Answer

(x + 4, y - 1)

Answer

($\frac{4}{m}$, $\frac{-1}{m}$)

Answer

($\frac{m}{4}$, $\frac{m}{-1}$)

Question 6

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 the quadrilateral FGHJ to create F'G'H'J'?

Accepted Answer

(x, y) --> ($\frac{1}{3}$x, $\frac{1}{3}$y)

Answer

(x , y) --> (x - 3, y + 1)

Answer

(x, y) --> (3x, 3y)

Answer

(x, y) --> (x + 1, y + 3)

Question 7

Triangle ABC was dilated with the origin as the center of dilation to create triangle A'B'C'. Which rule best represents the dilation that was applied to triangle ABC to create A'B'C'?

Accepted Answer

(x, y) --> ($\frac{3}{2}$x, $\frac{3}{2}$y)

Answer

(x, y) --> (x - 3, y - 2)

Answer

(x, y) -->(x + 3, y + 2)

Answer

(x, y) --> ($\frac{2}{3}$x, $\frac{2}{3}$y)

Question 8

Circle S was dilated with the origin as the center of dilation to create circle S'. Which rule best represents the dilation applied to circle S to create circle S'?

Accepted Answer

(x, y) --> (4x, 4y)

Answer

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

Answer

(x, y) --> (x + 4, y + 4)

Answer

(x, y) --> (-4x, -4y)

Question 9

Figure 1,  the large diamond, was dilated with the origin as the center of dilation to create Figure 2, the small diamond. Which rule be represents the dilation that was applied to Figure 1 to create Figure 2?

Accepted Answer

(x, y) --> ($\frac{1}{5}$x, $\frac{1}{5}$y)

Answer

(x, y) --> (5x, 5y)

Answer

(x, y) --> (x +5, y + 5)

Answer

(x, y) --> (.5x, .5y)

Question 10

Figure B was dilated with the origin as the center of dilation to create Figure B'. Which rule best represents the dilation that was applied to Figure B to create Figure B'?

Accepted Answer

(x, y) --> ($\frac{2}{3}$x, $\frac{2}{3}$y)

Answer

(x, y) --> (x + 3, y + 2)

Answer

(x, y) --> (x- 3, y - 2)

Answer

(x, y) --> ($\frac{3}{2}$x, $\frac{3}{2}$y)

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