Transformations That Preserve Congruence

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

Which representation of a transformation DOES preserve congruency?

Which of the following are preserved during a rigid motion transformation

• angle measures

• side lengths

• perimeter

• area

Which 3 transformations preserve congruency between the preimage and the image?

• Translation

• Rotation

• Reflection

• Dilation

Which of the following has been PRESERVED?

• Size

• Shape

• Orientation

• None of these

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

A shape is transformed with the following algebraic rule.  (x,y)→(x-5,y) 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

A shape is transformed with the following algebraic rule.  (x,y)→(x,-y) 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

A transformation that preserves distance and angles.

• Equiangular Transfor- mation

• Equilateral Transfor- mation

• Rigid Transfor- mation

• Regular Transfor- mation

Which transformation is not a rigid transformation or an isometry?

• Reflection

• Translation

• Rotation

• Dilation