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Chapter 1 Vocab
Geometry - Mrs. Sprouse
Term | Definition |
---|---|
point | a location that has no size or shape |
point | always named by a capital letter (t) |
line | needs at least 2 points |
line | always named by a lowercase letter |
line | never ends |
line segment | a line with two endpoints |
ray | a line with one endpoint |
plane | a flat surface that extends indefinitely in all directions |
plane | needs at least three points to exist |
plane | always named by an uppercase letter (e) |
collinear points | points that lie in the same line |
coplanar points | points that lie in the same plane |
coplanar points | consists of any 3 noncollinear points |
congruent segments | when segments have the same length as another |
segment addition postulate | If A, B, and C are collinear points and B is in between A and C, then AB + BC = AC. |
distance formula | the square root of the sum of the squared differences of x and the squared differences of y |
midpoint formula | the sum of x (or y) and x (or y) divided into 2 |
segment bisector | a line, ray, or segment that intersects a segment at its midpoint is said to bisect the segment |
directed line segment | a line segment with an associated direction |
horizontal component | run (x2 - x1) |
vertical component | rise (y2 - y1) |
perpendicular lines | two lines that intersect at a right angle |
perpendicular bisector | a line, segment, or ray that is perpendicular to a segment at its midpoint |
parallel lines | two lines having the same slope |
angle | formed by two rays with a common endpoint |
vertex | the common endpoint that is on an angle |
right angle | equal to 90 degrees |
acute angle | less than 90 degrees |
obtuse angle | greater than 90 degrees |
straight angle | equal to 180 degrees |
congruent angles | when the measure of one angle is equal to the measure of another angle |
adjacent angles | two angles that are next to each other and share a common side |
angle addition postulate | If D is in the interior of <ABC, then <ABD + <CBD = <ABC. |
angle bisector | a ray that divides an angle into 2 congruent angles |
vertical angles | two angles across from each other on intersecting lines and are always congruent |
complementary angles | any two angles whose sum is 90 degrees |
supplementary angles | any two angles who sum is 180 degrees |
linear pair | two angles that are adjacent and supplementary |
linear pair | two angles that form a straight line |