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Geometry: Chapter 1

49097 - Introducing Geometry

point smallest building block of geometry; has no size and indicates location
line a building block of geometry; made up of points, has no thickness, goes on forever in two directions
plane a building block of geometry; made up of points, has no thickness, is a flat surface that goes on forever
collinear points on the same line
coplanar points on the same plane
segment part of a line that has two enpoints
congruent having the same shape, size, and measurement
measure of segment length: measured in inches, centimeters, feet, etc.
endpoints two points at the end of a segment; all other points are between and collinear with the endpoints
congruent segments segments with the same length; shown in a picture with tickmarks
midpoint point on a segment that is the same distance from both endpoints
bisect to divide in two congruent parts
ray part of a line with one endpoing and goes on forever in one direction
angle two rays with a common endpoint
vertex the common endpoint of two rays
sides of an angle rays that go on forever
measure of an angle smallest amount of rotation around the vertex from one ray to the other; measured in degrees; measured with a protractor
congruent angles angles with the same measure (use arcmarks in the picture!)
angle bisector divides an angle into two congruent parts
counterexample something that fits a definition but isn't what you intended
right angle an angle whose measure is 90 degrees
acute angle an angle whose measure is less than 90 but greater than 0
obtuse angle an angle whose measure is greater than 90 but less than 180
vertical angle formed by two intersecting lines, they share a vertex but not a side
linear pair two angles that share a vertex and a side and their non-common sides form a line
complementary two angles whose measures add up to 90 degrees
supplementary two angles whose measures add up to 180 degrees
parallel lines that will never intersect and are on the same plane
skew lines that will never intersect and are not on the same plane
perpendicular lines that intersect at a 90 degree angle
polygon a closed plane figure whose sides are segments that connect at their endpoints
diagonal of a polygon a segment that connects two non-consecutive vertices in a polygon
equilateral a polygon whose sides are all congruent
equiangular a polygon whose angles are all congruent
regular a polygon that is both equilateral and equiangular
convex a polygon with no external diagonals
concave a polygon with at least a part of a diagonal outside of the polygon
right triangle a triangle with one right angle
acute triangle a triangle with three acute angles
obtuse triangle a triangle with one obtuse angle
equiangular triangle a triangle with three congruent angles
scalene triangle a triangle with no congruent sides
isosceles triangle a triangle with at least two congruent sides
equilateral triangle a triangle with all three sides congruent
Created by: lbosel