# Hn. Math 2- Transformations Quiz #1

### 30 terms by taylorkneip

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### Transformation

a change in the position, size, or shape of a figure

### Preimage

the original figure

### Image

a figure resulting from a transformation

### Isometry

a transformation in which the preimage and image are congruent

### Translation

A transformation that "slides" each point of a figure the same distance in the same direction.

### (x+/-a, y+/-b)

Writing Rules for Translations

### Reflection

A transformation that "flips" a figure over a mirror or reflection line.

### Line of Reflection

A line that a figure is flipped across to create a mirror image of the original figure
*perpendicular to lines connecting corresponding points of the image and preimage

### (x, -y)

Rule for Reflection Over X-axis

### (-x, y)

Rule for Reflection over Y-axis

### (y, x)

Rule for Reflection Over line y=x

### Rotation

a transformation in which a figure is turned around a point
-counterclockwise unless stated otherwise

### (-y, x)

Rule for 90 degree rotation

### (-x, -y)

rule for 180 degree rotation

### (y, -x)

rule for 270 degree rotation

### Dilation

A transformation that changes the size of an object, but not the shape.
-image will always be similar to preimage

### (nx, ny)

Rule for Dilations

### n^2 x area of preimage

Area of Image of Dilation

### multiply the number by every number in matrix (dilation)

Multiplying Matrices by a Single Number

### Vertex Matrix

a matrix used to represent the coordinates of the vertices of a polygon

### [1 0] [0 -1]

Matrix for Reflection over X-axis

### [-1 0] [0 1]

Matrix for Reflection over Y-axis

### [0 1] [1 0]

Matrix for Reflection over Y=X

### [0 -1] [1 0]

Matrix for 90 degree Rotation

### [-1 0] [0 -1]

Matrix for 180 degree Rotation

### [0 1] [-1 0]

Matrix for 270 degree Rotation

### [1 0] [0 1]

Matrix for 360 degree Rotation

### the shape is rotated 180 degrees

what happens when you have a scale factor that is negative?

### connect the corresponding points of the image and preimage and construct the perpendicular bisector

How do you construct the line of reflection?

Example: