Chapter 7- Transformations

Question 0

A rule that assigns each point of a figure to another point in the plane

Answer 0

Transformation

Question 1

The result of moving all points of a figure according to a transformation

Answer 1

Image

Question 2

The original figure that undergoes a transformation

Answer 2

Pure image

Question 3

A transformation that preserves size and shape

Answer 3

Rigid transformation

Question 4

Rigid transformations are also called

Answer 4

Isometries

Question 5

A transformation that does not preserve the original size and shape of the original figure

Answer 5

Nonrigid transformation

Question 6

An isometry in which each point is slid along a straight path; it is moved by the same translation vector

Answer 6

Translation

Question 7

A directed line segment from a point to its translated image

Answer 7

Vector

Question 8

An isometry in which each point is moved by the same angle measure in the same direction along a circular path about a fixed point (known as the ______________ _________)

Answer 8

Rotation

Rotation angle

Question 9

An isometry in which every point and it’s image are on opposite sides and the same distance from a fixed line (known as the _______ ___ ______________)

Answer 9

Reflection

Line of reflection

Question 10

The line of reflection is the PERPENDICULAR BISECTOR of every segment joining a point in the original figure with its image

Answer 10

Reflection line conjecture

Question 11

A figure coincides with itself under a reflection

Answer 11

Reflectional symmetry

Question 12

A figure coincides with itself under some rotation

Answer 12

Rotational symmetry

Question 13

Every image is identical to the original figure after a rotation of any multiple of _____

Answer 13

360 degrees

Question 14

The property that a figure coincides with itself after a rotation of 180 degrees

Answer 14

Point symmetry

Question 15

A rule that describes how to transform points on a coordinate plane
Either moves something up down right left or reflects

Answer 15

Ordered pair rule

Question 16

The ordered pair rule (x , y) -> (-x , y) is a reflection across the

Answer 16

Y axis

Question 17

The ordered pair rule (x , y) -> (x , -y) is a reflection across the

Answer 17

X axis

Question 18

The ordered pair rule (x , y) -> (-x , -y) is a reflection across the

Answer 18

X and y axes

AND rotation about the origin 180 degrees

Question 19

The ordered pair rule (x , y) -> (y , x) is a reflection across the

Answer 19

Y=x

Question 20

The single transformation that gives the same image as a transformation applied to a figure followed by a second transformation applied to the image of the first

Answer 20

Composition

Question 21

A composition of two reflections across two parallel lines is equivalent to a single translation. In addition, the distance from any point to its second image under the two reflection is twice the distance between the parallel lines

Answer 21

Reflections across parallel lines conjecture

Question 22

A composition of two reflections across a pair of intersecting lines is equivalent to a single rotation. The angle of rotation is twice the acute angle between the pair of intersection reflection lines

Answer 22

Reflections across intersecting lines conjecture

Question 23

When you combine a translation with a reflection

Continues to be a rigid transformation

Answer 23

Glide reflections