STAAR Review Dilations

Quadrilateral A'B'C'D' is a dilation of quadrilateral ABCD, with the origin as the center of dilation. 

Which of the following is the appropriate algebraic representation of the dilation?

• $\left(x,\ y\right)\ \longrightarrow\ \left(\frac{1}{3}x,\ \frac{1}{3}y\right)$

• $\left(x,\ y\right)\ \longrightarrow\ \left(3x,\ 3y\right)$

• $\left(x,\ y\right)\ \longrightarrow\ \left(\frac{1}{2}x,\ \frac{1}{2}y\right)$

• $\left(x,\ y\right)\ \longrightarrow\ \left(2x,\ 2y\right)$

Quadrilateral S'T'U'V' is a dilation of quadrilateral STUV, with the origin as the center of dilation. 

Which of the following is the scale factor used to create quadrilateral S'T'U'V'?

• $2$

• $3$

• $2.5$

• $\frac{3}{2}$

Quadrilateral A'B'C'D' is a dilation of quadrilateral ABCD, with the origin as the center of dilation. 

Which of the following is the appropriate algebraic representation of the dilation?

• $\left(x,\ y\right)\ \longrightarrow\ \left(\frac{5}{2}x,\ \frac{5}{2}y\right)$

• $\left(x,\ y\right)\ \longrightarrow\ \left(2\ \frac{1}{2}x,\ 2\ \frac{1}{2}y\right)$

• $\left(x,\ y\right)\ \longrightarrow\ \left(\frac{2}{5}x,\ \ \frac{2}{5}y\right)$

• $\left(x,\ y\right)\ \longrightarrow\ \left(5x,\ 5y\right)$

Polygon A'B'C'D'E' is a dilation of polygon ABCDE, with the origin as the center of dilation. 

Which of the following is the scale factor that was used to create the dilation?

• $4$

• $2$

• $\frac{1}{2}$

• $\frac{1}{4}$

Rectangle M'N'P'R' is a dilation of rectangle MNPR, with the origin as the center of dilation. 

Which of the following is the scale factor used to dilate the rectangle?

• $\frac{1}{2}$

• $2$

• $2\ \frac{1}{2}$

• $5$

Triangle JKL is dilated with the origin as the center of dilation to create triangle J'K'L'. Which rule best represents the dilation that has been applied to triangle JKL to create triangle J'K'L'?

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?

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 triangle A'B'C'?

The pre-image, MNOP, has vertices M(2,1.5),N(2, 4),O(5, 4), P(5,1.5). A transformation is applied

to create the image, M’N’O’P’, which has vertices M'(8,6), N'(8,16), O'(20,16), P'(20,6). Which

rule represents this transformation?