6-4: Dilations

What are the coordinates of Point U after a dilation with the center at the origin and a scale factor of  $\frac{1}{2}$  ?

• (-4, -4)

• (-8, -4)

• (-16, -8)

• (-4, -2)

Which of the following transformations do NOT map each triangle in the xy-coordinate plane to a congruent triangle?

• $\left(x,\ y\right)\ \longrightarrow\ \left(4x,\ 4y\right)$

• $\left(x,\ y\right)\ \longrightarrow\ \left(x+4,\ y+4\right)$

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

• $\left(x,\ y\right)\ \longrightarrow\ \left(x,\ y-4\right)$

Which of these Scale Factors would make a shape bigger?

• SF = 0.5

• SF = 1/4

• SF = 1

• SF = 3

Which of the following Scale Factors would make a shape smaller?

• SF = 1

• SF = 0.5

• SF = 2

• SF = 3

What rule describes the transformation from ΔNGS to ΔN'G'S'?

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

• $\left(x,\ y\right)\ \longrightarrow\ \left(2.5x,\ 2.5y\right)$

• $\left(x,\ y\right)\ \longrightarrow\ \left(0.5x,\ 0.5y\right)$

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

The triangle located at C (-1, -2) V (-2, 2) N (2, 0) is dilated by a SF of 5. What are the coordinates of C'V'N'?

• C' (-5, -2) V' (-10, 2) N' (10, 0)

• C' (-1, -10) V' (-2, 10) N' (2, 0)

• C' (4, 3) V' (3, 7) N' (7, 5)

• C' (-5, -10) V' (-10, 10) N' (10, 0)

The figure located at A (0,3) B (9, 6) C (-3, 3) is dilated by a scale factor of 1/3. What are the coordinates of A'B'C'?

• A' (0,9) B' (27, 18) C' (-9, 9)

• A' (0,1) B' (3, 2) C' (-1, 1)

• A' (0,3) B' (3, 6) C' (-1, 3)

• A' (0,1) B' (9, 2) C' (-3, 1)

Determine the Scale Factor of the dilation from ABCD to A'B'C'D'.

• SF = 3

• SF = $\frac{1}{2}$

• SF = 2

• SF = $\frac{1}{3}$

What is the Scale Factor of the Dilation from ΔABC to ΔA'B'C'?

• SF = 2

• SF = $\frac{1}{2}$

• SF = 5

• SF = $\frac{1}{5}$

Which of the following rules describes the transformation from ΔABC to ΔA'B'C'?

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

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

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

• $\left(x,\ y\right)\ \longrightarrow\ \left(4x,\ 2y\right)$