# Geometry

## 36 terms

coplaner angle that have a common vertex and one common side, but no common interior points-

### Vertical Angles

two non-adjacent angles formed by two intersecting lines-

### Linear Pair

two adjacent angles whose non-common sides are two rays going in opposite directions- X

### Complementary Angles

sum of the measures of the two angles is 90 degrees-CO = 90

### Supplementary Angles

sum of the measures of the two angles is 180 degrees- super!

### Skew

non coplaner lines that never intersect

### line segment

portion of a line w/ 2 endpoints

### ray

a line w/ a never ending point

### perpendicular lines

lines that intersect to form right angles

### non collinear

points that are not all on the same line

### non coplanar

points aren't on the same plane

### Parallel

coplanar lines that never intersect

### coplanar

a set of points or lines all lying on the same plane

### collinear

a set of points all lying on the same line

### postulate

Postulate is a true statement, which does not require to be proved.

### point

an exact position or location on a plane surface

### line

A geometrical object that is straight, infinitely long and infinitely thin.

### plane

flat surface that is infinitely large and with zero thickness

### theorem

A general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.

### segment bisector

is a line or a ray or a segment that divides a line segment into two equal parts.

### angle bisector

A line or ray that divides an angle in half.

### y-intercept

a line is the point at which the line crosses the y axis.

### slope

The rate of change of a line

### contra-positive

a logical relationship between two propositions, or statements. For

### counter example

An example that refutes or disproves a hypothesis, proposition, or theorem.

y=mx+b

### conditional state

A logical statement involving a comparison, which yields a Boolean (True or False) value..

### converse

an if-then statement in which the hypothesis and the conclusion are switched.

### inverse

formed by negating the hypothesis and negating the conclusion of the original statement.

### center of dilation

In a dilation, the fixed point about which the figure is enlarged or reduced. It's also the intersection point of the lines that extend through the corresponding vertices of the original and dilated image.

### pre-image

the figure before the transformation is applied

### image

the figure after the transformation is applied, indicated by primes - A'B'C'

### scale factor

the ratio used to enlarge or reduce similar figures

### congruent figures

figures that are the same size and same shape - angles and side lengths are all congruent

### similar figures

figures that are the same shape but different size - angles are congruent and sides are proportional

### Isometric transformations

transformations in which the pre-image and image are congruent figures: rotations, translations, reflections

Create Set