Basic Rigid Motions

Determine where X' would be if you translated X 3 units to the left and 9 units down.

• (-4, 4)

• (-10, 2)

• (-4, -5)

• (-1, 5)

Which answer shows a reflection across the x-axis?

• d

• c

• b

• a

For each pair of figures, decide whether you can take figure A to figure B by translation, rotation or reflection.

• translation

• rotation

• reflection

Which answer shows a reflection across the y-axis?

• a

• b

• c

• d

Does the transformation appear to be a rigid motion?

• Yes, distances are preserved.

• Yes, angle measures are preserved.

• Yes, both distances and angle measures are preserved.

• No, distances are not preserved.

This graph shows a rigid motion

• Truffle

• True

• Troop

• False

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

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

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.

• (x, y) -> (x+3, y-2)

• 
• Reflected over the line y = x

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

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

• 

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

• transformation

• rotation

• translation

• reflection