Transformation Unit Review

Which of the following transformations creates a figure that is similar (but not congruent) to the original figure?

• Translation

• Rotation

• Dilation

• Reflection

Using words, describe the translation that would be made by the rule: (x, y) --> (x - 5, y + 4)

• 5 units to the right, 4 units down

• 5 units to the left, 4 units up

• 4 units to the right, 5 units down

• 4 units to the left, 5 units up

Tell whether the state is always, sometimes, or never true. A congruence transformation changes the size of a figure.

• always

• sometimes

• never

If the figure is reflected over the x-axis, what are the coordinates of K′?

• (0, 3)

• (0, -3)

• (3, 0)

• (-3, 0)

If the figure is dilated using a scale factor of  $\frac{1}{2}$   , what are the coordinates of L'?

• (2, 1)

• (2, -1)

• (8, 4)

• (-8, 4)

Triangle JKL has vertices J(0, 2), K(–1, 2), and L(0, –3). What are the coordinates of the image of point K after a dilation with a scale factor of 4?

• K' (8, 4)

• K' (8, -4)

• K' (4, 8)

• K' (-4, 8)

Triangle MNP has vertices M(5, 4), N(5, 9), and P(–1, 4). What are the coordinates of the image of point P after the triangle is rotated 180° clockwise about the origin?

• P'(-4, 1)

• P'(1, -4)

• P'(-1, -4)

• P'(1, 4)

If the figure is reflected over the y-axis, what are the coordinates of I'?

• (3, 1)

• (3, -1)

• (-3, -1)

• (-3, 1)

The ordered pair R(–2, 7) is translated 5 units to the right and down 2 units. Which of the following describes the translation using translation notation?

• (x – 2, y + 5)

• (x + 2, y − 5)

• (x − 5, y + 2)

• (x + 5, y − 2)

The length and width of a rectangle are 5 feet and 2 feet, respectively. A similar rectangle has a width of 8 feet. What is the length of the second rectangle?

*Might help to draw a picture

• 8 ft.

• 14 ft.

• 16 ft.

• 20 ft.