Chapter 6 Transformations and the Coordinate Plane

Question 1

transformation

Answer 1

a one to one correspondence between two sets

Question 2

image

Answer 2

the set of points that come out of a transformation

Question 3

preimage

Answer 3

the set of points that go into a transformation

Question 4

line reflection

Answer 4

fold the paper along the line that you are reflecting over.

Question 5

point reflection

Answer 5

draw a line segment to the point that you are reflecting through and then continue straight through and stop the same distance out on the other side.

Question 6

translation

Answer 6

moves every point the same distance and the same direction. example T 5,-3 would add 5 to the x values and subtract 3 from the y values.

Question 7

rotation

Answer 7

counterclockwise for positive rotations and clockwise for negative ones

Question 8

composition of transformations

Answer 8

the “bubble” means “of” and you figure it out right to left.

Question 9

glide reflection

Answer 9

a composition of transformations that consists of a line reflection and a translation in the direction of the reflection line.

Question 10

isometry

Answer 10

a transformation that preserves distances. same size, same shape.

Question 11

direct isometry

Answer 11

an isometry that preserves orientation (does not flip over)

Question 12

opposite isometry

Answer 12

an isometry that does not preserve orientation (flips over)

Question 13

dilation

Answer 13

a transformation that makes objects larger or smaller by multiplying coordinates by a number (not an isometry)