Rigid Motion

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation

• 90^o counter clockwise rotation

• Reflection across the y-axis

• Reflection across the x-axis

Find the image of the point (3, 2) that has undergone a reflection across the x - axis

• (-3 , -2)

• (3 , -2)

• (-2 , 3)

• (2 , -3)

A transformation that flips each point of a shape over the same line is called a _______.

• Translation

• Rotation

• Reflection

• Transformation

A transformation that preserves the size and shape of the figure (translation, reflection, rotation) is called _______________________.

Two transformations of quadrilateral ABCD are shown below. Identify which transformation is a rigid motion and describe that rigid motion. ​ (a)   is/are a rigid transformation because ABCD maps onto A′B′C′D′ with ​ (b)  

• Only Transformation 2

• Only Transformation 1

• Both Transformation 1 and Transformation 2

• rotation of 60 degrees about point P

• reflection across line that passes through point P

• translation that maps point D to point P

Tags

G.CO.3

G.CO.4

Two transformations of quadrilateral ABCD are shown below. Identify which transformation is a rigid motion and describe that rigid motion. ​ (a)   is/are a rigid transformation because ABCD maps onto A′B′C′D′ with ​ (b)  

• Only Transformation 2

• Only Transformation 1

• Both Transformation 1 and Transformation 2

• rotation of 60 degrees about point P

• reflection across line that passes through point P

• translation that maps point D to point P

Tags

G.CO.3

G.CO.4

What rigid motion from the pre-image to the prime image?

• transformation

• rotation

• translation

• reflection

Each diagram shows a pre-image and an image. Match graph with the descriptions of the rigid motion or sequence of rigid motions that transformed the pre-image to its image.

• Rotate 90 degrees clockwise around the point (-1, 2)

• 
• (x, y) -> (x+3, y-2)

• 
• Rotate 180 degrees around the point (0, 0)

• 
• Reflected over the line y = x

• 

Which transformations are rigid motion transformations?

• Translations

• Rotations

• Reflections

• Dilations

• Depends on the situation if a transformation is done with rigid motion

Rigid Motion is transformation that preserves ​ (a)   and ​ (b)   .

• distance

• angle measure