Find New Point After a Rigid Transformation

This rigid transformation moves every point in a figure a given distance in a given direction.

Answer explanation

A translation moves every point in a figure a given distance in a given direction.

This diagram shows a translation of Figure A to Figure B using the direction and distance given by the arrow.

A translation, rotation, reflection, or dilation, or a combination of these.

Answer explanation

A transformation is a translation, rotation, reflection, or dilation, or a combination of these.

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)

Write a rule for the translation.

•  (x -1, y  + 2)

•  (x -2, y  + 1)

•  (x +2, y  - 1)

• (x +1, y  -  2)

Point (-5,2) is reflected over the y axis.  Where is the new point located?

• (5,2)

• (-5,-2)

• (-5,2)

• (5,-2)

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees around the origin

• Rotate -90 degrees around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees about the origin.

Find K' if the figure is reflected across the x-axis

• (4, 1))

• (-1, -4)

• (1, -4)

• (1, 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)

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.