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Geometry: Chapter 1
49097 - Introducing Geometry
| Question | Answer |
|---|---|
| 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 |