# Geometry Chapter One North Carolina Prentice Hall

## 20 terms

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### Space

the set of all points

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### Plane

a flat surface that has no size or edges

### If 2 points exist,

exactly 1 line contains them

### If 2 lines intersect,

they intersect in exactly 1 point

### If 2 planes intersect,

then their intersection is a line

### Segment bisector

any point, ray, line, or another segment that intersects the given segment as its midpoint

### Angle

2 rays w/ a common endpoint called the vertex

### Vertical angles

2 angles whose sides form 2 pairs of oppisite rays (intersecting lines=typical model) (bowties)

2 coplanor angles w/ a common side, a common vertex, and no common interior points. They must be connected

### Complementary angles

2 angles whose sum is 90. They do not need to be connected

### Supplementary angles

2 angles whose sum is 180. They do not need to be connected

### Linear pairs

must be adjacent and exterior sides opposite rays (supplementary)

### If 2 angles are vertical angles,

then they are congruent

### If 2 angles are supplementary of the same angle,

then they are congruent to each other

### If 2 angles are complementary of the same angle,

then they are congruent to each other

### If 2 angles are right angles,

then they are congruent

### If 2 angles are congruent and supplementary,

then each is a right angle

### If 2 lines are perpendicular,

then they intersect to form four right angles