transformations

Question 1

why is a transformation a function?

Answer 1

• there is a set of three points (the input)
• apply a rule
• there is a new set of points (the output)

Question 2

the three types of rigid motions

Answer 2

rotations, reflections, and translations

Question 3

what is a rigid motion?

Answer 3

• maps the pre-image onto the image
• preserves angle measurements and distances
• soo .. the image and the pre-image are congruent after a series of rigid motions

Question 4

reflection

Answer 4

corresponding points of the pre-image and image are equal distances from the line of reflection

Question 5

rotation

Answer 5

corresponding points of the pre-image and image are equal distances from the center of rotation

Question 6

translation

Answer 6

corresponding points of the pre-image and image are equal distances from each other along the same vector

Question 7

how does a perpendicular bisector relate to the line of symmetry in a reflection?

Answer 7

since all points on a perpendicular bisector are equidistant from the endpoints of the segment being bisected, they are equidistant from the line of symmetry