Rigid Motions and Congruence

Which transformation is NOT a rigid motion (the size changes)?

• reflection
• rotation
• dilation
• translation

A rigid motion ...

• preserves size and location
• preserves shape and location
• preserves size and shape
• makes the figure larger

Are the two figures are congruent? Identify the transformations used.

• Yes, they are congruent; rotation.

• Yes, they are congruent; translation.

• Yes, they are congruent; reflection.

• There is no sequence of rigid transformation.

Are the two figures are congruent? Identify the rigid motions used.

• Yes, the figures are congruent. The rigid motions consist of a reflection followed by a rotation.

• Yes the figures are congruent. The rigid motions consist of a reflection followed by a translation.

• No the figures are not congruent. The rigid motions consist of a translation followed by a rotation.

• Yes, the figures are congruent. The rigid motions consist of a translation followed by a reflection.

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

How is Quadrilateral EFGH translated to E'F'G'H'?

• 6 down
• 6 down, 1 right
• 6 down, 3 left
• 8 down, 1 right

How is triangle ABC being translated to triangle A'B'C'?

• up 3, left 8
• up 9, left 4
• down 3, right 8
• down 9, right 4

Identify the transformation.

• Reflection across y axis
• Reflection across x-axis
• 180 Rotation
• Translation 2 units down

What is the sequence of transformations?

• Reflect over the line x=0 then reflect over the line y=0
• Reflect over the line y=0 then reflect over the line x=0
• Translate 4 units then rotate 90˚
• Rotate 90˚ then reflect over the the line y=0

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