Transformations That Preserve Congruence

Translation are always _______

• Congruent

• Bigger

• Smaller

• Rotated

When you transform a figure, it is congruent to the original figure.

• True

• False

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.

What is the sequence of transformations for the image given? 

• 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)

Is the picture being reflected in the y-axis or x-axis?

• y-axis

• x-axis

What does it mean for a transformation to be a rigid motion (or isometric)? (select multiple answers if they correctly apply.)

• The transformation preserves:

  distance

• The transformation preserves:

  perpendicularity

• The transformation preserves:

  collinearity

• The transformation preserves:

  angle measures

Does the transformation shown preserve congruence and/or orientation?

• Congruence yes, Orientation yes

• Congruence No, Orientation No

• Congruence No, Orientation yes

• Congruence Yes, Orientation No

Was the orientation preserved or changed?

• Changed

• Preserved

The pentagon WASED is translated up 7.  Which of the following statements is true. 

• The image maintains the preimage's orientation only

• The image maintains the preimage's congruence only

• The image maintains the preimage's orientation & congruence

• The image doesn't maintain the preimage's orientation or congruence

Which transformation(s) preserves the size of a pre-image and is considered a "rigid" transformation? (Choose the best answer)

• Rotation

• Translation

• Reflection and dilation

• Reflection, rotation, and translation