# Chapter 12 Vocabulary

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Angle Relationships and Transformations

### Complementary Angles

Two angles whose sum is 90 degrees.

### Supplementary Angles

Two angles whose sum is 180 degrees.

### Vertical Angles

A pair of opposite congruent angles formed by intersecting lines.

### Interior Angles

Angles inside a polygon.

### Exterior Angles

Angles on the outside of a polygon by extending the sides of the polygon.

(n-2)⋅180°

### 360°

Sum of Exterior Angles

### Transversal

A line that intersects two or more lines.

### Corresponding Angles

Two congruent angles in matching positions on two parallel lines cut by a transversal.

### Alternate Interior Angles

Two congruent angles that lie within two parallel lines and on opposite sides of the transversal.

### Alternate Exterior Angles

Two congruent angles that lie outside two parallel lines and on opposite sides of the transversal.

### Same-side Interior Angles

Two supplementary angles that lie within two parallel lines and on the same side of the transversal.

### Same-side Exterior Angles

Two supplementary angles that lie outside two parallel lines and on the same side of the transversal.

(n-2)⋅180°÷n

360°÷n

### Transformation

A change made to the location or the size of a figure.

### Image

The new figure formed from a transformation.

### A'

Prime notation to identify the image point.

### Translation

A transformation in which the figure slides.

### Coordinate Notation

(x,y) -> (x + 7, y - 4)

### Tessellation

Covering a plane (piece of paper) with repeating pattern of one or more shapes with no gaps or overlaps.

### 180°

A tessellation can be created with a polygon whose adjacent angles add to __________.

### Reflection

A transformation in which the figure is flipped over a line.

### Line of Symmetry

A line that divides the figure into two reflecting parts.

### Rotation

A transformation in which a figure is turned about a fixed point.

### Rotational Symmetry

A figure that when rotated, looks the same as the original.

### Order of Rotational Symmetry

How many matches a figure has of itself as it is rotated once 360°.

### Dilation

A transformation that shrinks or enlargens with respect to a fixed point.

### Scale Factor

The ratio of the image to the original figure.

### Dilation Notation

(x,y) -> (kx, ky), Given k, the scale factor such that k>0

0<Scale Factor<1

Scale Factor>1

(x, -y)

(-x,y)

(y,x)

(-y,-x)

(y, -x)

(-y,x)

(-x,-y)

Example: