Representing and Comparing Transformations

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

Which of the following transformations does NOT preserve congruence?

• (x,y)----- > (5/2 x, 5/2 y)

• (x,y)----- > (-x, y)

• (x,y)----- > (-y , x)

• (x,y)----- > (x + 3, y - 2)

Which type of transformation is NOT rigid?

• Translation

• Rotation

• Reflection

• Dilation

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

Which of the following has been PRESERVED?

• Size

• Shape

• Orientation

• None of these

Does the transformation appear to be a rigid motion?

• Yes, it preserves the distance between corresponding points.

• No, it does not preserve the distance between corresponding points.

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 quadrilateral is plotted on the coordinate plane. Each of its vertices undergoes the same transformation. Which rule below represents a transformation that does NOT preserve the length of the sides of the quadrilateral?

• A. (𝑥, 𝑦) → (𝑥 + 2, 𝑦 + 5)

• B. (𝑥, 𝑦) → (−𝑥 − 2, 𝑦 − 3)

• C. (𝑥, 𝑦) → (3𝑥 − 2, 𝑦 − 3)

• D. (𝑥, 𝑦) → (−𝑥 − 2, −𝑦 − 3)