Rigid Motion Transformations and 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)

A transformation that preserves distance and angles.

• Equiangular Transfor- mation

• Equilateral Transfor- mation

• Rigid Transfor- mation

• Regular Transfor- mation

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

• Translation

• Rotation

• Reflection

• Dilation

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

• 1

• 2

• 3

• 4

Answer explanation

Triangle ABC is congruent to Triangle DEF. Which sequence of rigid motions will definitely work to take ABC to DEF?

• Translate ABC by directed line segment AD. Reflect ABC over D.

• Translate ABC by directed line segment AD. Translate ABC by directed line segment BE. Translate ABC by directed line segment CF.

• Translate ABC by directed line segment AD. Rotate ABC around D until AB lines up with DE. Reflect ABC over AB.

• Rotate ABC until BC lines up with DF. Reflect ABC over the line between CF.

State a sequence of rigid motions that would map Quad QRST onto Quad PLKJ.

• A reflection over the x-axis followed by a reflection over the y-axis

• A rotation 180 degrees followed by a translation 2 units to the right

• A reflection over the y-axis followed by a translation 7 units down

• A reflection over the x-axis followed by a translation 6 units to the right and 3 units down

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 type of transformation is NOT rigid?

• Translation

• Rotation

• Reflection

• Dilation