Sequence of Geometric Transformations

Describe the transformation shown.

• Rotation 90^o clockwise

• Dilation by a factor of 3

• Translation 2 units down

• Reflection across the x axis.

Describe the series of Transformations to get to Polygon(A'''', B'''', C'''', P, E'''', F'''', G'''', H'''')

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Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D

Translations, reflections, rotations and dilations are all known as ________________________.

• Geometry

• Transformations

• Congruent

• Equations

Triangle RST is translated 6 unit to the left and 4 units up to create triangle R'S'T'. Which rule best describes this transformation?

• (x, y) → (6x, -4y)

• (x, y) → (-6x, 4y)

• (x, y) → (x+6, y-4)

• (x, y) → (x-6, y+4)

Reflect the image across x = -3

• I' (-1,-1) P' (-2,2) S' (-4,1) W' (-4,3)

• I' (-1,-1) P' (-2,-2) S' (-4,1) W' (-4,3)

• I' (-1,-1) P' (-2,-2) S' (-4,-1) W' (-4,3)

• I' (-1,-1) P' (-2,-2) S' (-4,1) W' (-4,-3)

Reflect the image across y = -x

• A' (1,-3) J' (-3,-4) T' (2,5) S' (-2,4)

• A (1,-3) J (3,-4) T (2,5) S (-2,4)

• A' (1,-3) J' (3,-4) T' (2,-5) S' (-2,-4)

• A' (1,-3) J (3,-4) T' (2,5) S' (-2,-4)

• (x,y) -> (2x, 2y)

• (x,y) -> (0.5x, 0.5y)

• (x,y) -> (0.4x, 0.4y)

Trapezoid PQRS is rotated 180° about the origin to form trapezoid P'Q'R'S'. Which statement is true?

• The size of trapezoid P'Q'R'S' is 180 times the size of trapezoid PQRS.

• Trapezoid P'Q'R'S' is mapped onto trapezoid PQRS.

• The side and angle measures of trapezoid PQRS are preserved.

Determine how to translate triangle ABC to triangle A'B'C'.

• left 2, up 9

• right 2, down 9

• left 2, down 9

• left 2, up 5