Symmetries and Rigid Motions Without Grids

If you are performing a reflection in the line y=x, the rule is ...

• (x, y)
• (-x, y)
• (x, -y)
• (y, x)

Which transformation is NOT a rigid motion (the size changes)?

• reflection
• rotation
• dilation
• translation

A __________ is a directed line segment that has both length and direction.  It is used when performing translations off the coordinate plane.

• vector
• rigid motion
• magnitude
• Gru

A rotation always moves _____________________ unless otherwise stated.

• clockwise
• counterclockwise
• sideways
• backwards

What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?

• a reflection followed by a rotation
• a reflection followed by a translation
• a translation followed by a rotation
• a translation followed by a reflection

A rigid motion creates figures that are ____________.

• congruent
• different sizes
• similar
• larger

The ordered pair (-3, 4) is reflected across the x-axis. What is the new ordered pair?

• (-3, -4)
• (3, 4)
• (3, -4)
• (-3, 4)

Determine where X' would be if you translated X, 3 units to the left and 9 units down.

• (-4, 4)
• (-10, 2)
• (-4, -5)
• (-1, 5)

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

• right two, down five
• right two, down 9
• left two, down 9
• left two, down 5

What is the angle of rotation for this counterclockwise rotation about the origin?

• 90°
• 180°
• 270°
• 360°