Naming Rigid Transformations

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

How is triangle ABC being translated to triangle A'B'C'?

• left 8, up 3

• left 4, up 9

• right 8, down 3

• right 4, down 9

Determine the translation from triangle ABC to triangle A'B'C'.

Which rule would result in a translation of 2 units left and 3 units up?

• (x, y) → (2x, 3y)

• (x, y) → (x - 2, y + 3)

• (x, y) → (-x, -y)

• (x, y) → (x + 2, y + 3)

• (x, y) → (x + 3, y -2)

Match the following definitions with the correct rigid transformation

• Rotation

• A rigid transformation that takes a point to another point so that the directed line segment from the original point to the image is parallel to the given line segment and has the same length and direction

• Translation

• A rigid transformation that takes a point to another point on the opposite side of a given line such that each point is that same distance away from the line

• Reflection

• A rigid transformation that takes one point to another point on the circle through the original point with the given center and given angle

This transformation is a ​ (a)   that moves ​ (b)   to the ​ (c)   and ​ (d)   ​ (e)  

• translation

• 8

• left

• 4

• down

• rotation

• reflection

• 5

• 7

Identify the transformation.

• Reflection across y axis

• Reflection across x-axis

• 180 Rotation

• Translation 2 units down

Determine where Point X' would be if you translated Point x 3 units left and 9 units down.

• (-5, -4)

• (-1, -7)

• (-4, -5)

• (-1, 5)

Determine where T' would be under the translation of 3 units to the right and 6 units up.

• (5, 1)

• (2, -5)

• (-1, 1)

• (8, -2)

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

• (4, 1)

• (-1, -4)

• (1, -4)

• (1, 4)