Chapter 3 Transformations Test

Suppose ΔRST is translated and then reflected to form ΔR′S′T′. Select all of the statements that are true.

• length R′S′ = 4.3 cm

• ∠R ≅ ∠R′

• m∠T′ = 71

• ST ≅ T′S′

• length RT > length R′T′

Point T is at (−2, 5). What are the coordinates of point T′ after a reflection across x = 0 and then y = 0?

• (2, -5)

• (-2, -5)

• (2, 5)

• (-2, 5)

PQ is reflected across the line x = −1. Select all that apply.

• A. PQ ≅ P′Q′

• B. Q′ is plotted at (−4, 4)

• C. Q′ is plotted at (−4, −4)

• D. Q and Q′ are in the same quadrant

• E. P′ and P are in the same quadrant

Which transformation or sequence of transformations maps ΔABC to ΔA′B′C′?

• a translation 5 units left

• a reflection across x = 0, then a translation 5 units left

• a reflection across y = 0, then translation 5 units left

• a rotation 90° about the origin

Point P′(5, −4) is the image of point P(2, 3) under a translation. Select the image of (6, −2) under the same translation.

• (7, −1)

• (13, −3)

• (9, −9)

• (3, 5)

Given point A is not on line m, suppose A is reflected across line m. Which of the following is true?

• A. AA′ is the bisector of line m

• B. Line m is the perpendicular bisector of AA′

• C. Line m is parallel to AA′

• D. A = A′

Find the coordinates of the specified vertex after the given sequence of transformations. 7. A reflection across y = 0, then a translation 1 unit left and 2 units up S': (____, ____)

• S': (____, ____)

• S': (1, 2)

• S': (-1, -2)

• S': (0, 0)

Find the coordinates of the specified vertex after the given sequence of transformations. 8. A rotation 90° about the origin, then a reflection across x = 0

• R': (____, ____)

• R': (x, y)

• R': (-x, -y)

• R': (y, -x)

Find the coordinates of the specified vertex after the given sequence of transformations. 9. A rotation 90° about the origin, then a reflection across x = 0 T': (____, ____)

• T': (____, ____)

• T': (x, y)

• T': (-y, x)

• T': (y, -x)

Find the coordinates of the specified vertex after the given sequence of transformations. 10. A translation 2 units right, then a reflection across x = 0

• Q': (____, ____)

• Q': (2, 0)

• Q': (-2, 0)

• Q': (0, 2)