Geometric Rigid Transformations

Translations, reflections and rotations are all known as ________________________.

• Geometry

• Rigid Transformations

• Congruent Transformatives

• Specialty Transformations

The original figure prior to a transformation.

• Pre-image
• Image

Congruent means...

• The same angles only.

• The same size, shape and angles.

• The same shape but different size.

• The same transformation.

What symbol is used to show that two figures are congruent?

• ≠

• ≅

• ≡

• =

Rigid Transformations will always maintain and preserve ALL of the following EXCEPT...

• size and shape

• angle measurements

• location and orientation

• area and perimeter

• parallel lines

What is the sequence of transformations for the image given? (Remember: The new Image has the prime symbols.)

• Reflect over the x-axis, translate (x+8,y)

• Reflect over the x-axis then translate (x+6, y)

• Reflect over the y-axis then (x+1, y+1)

• Translate down 4 (y-4) and to the right 5 (x+5)

Which of the following describes the sequence of transformations shown? (From A to A' to A")

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

• Rotate 90 degrees clockwise 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 counterclockwise about the origin.

Which of the following transformations produce congruent images?

• Rotations Only

• Translations Only

• Reflections Only

• All Three

What sequence of transformations will map trapezoid A to its image A'?

• Reflection across vertical line, then translation downwards

• Rotation 180 degrees, then reflection over x-axis

• Reflection across x-axis, then translation upwards

• Rotation 180 degrees, then reflection over y-axis

What sequence of transformations could map ∆ABC onto its image ∆A''B''C''? (Remember: You're transforming from purple, to green, to red.)

• a reflection followed by a rotation

• a reflection followed by a translation

• a translation followed by a rotation

• a translation followed by a reflection