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Geometry - Chapter 1
Chapter 1 Vocabulary
| Term | Definition |
|---|---|
| Acute Angle | An angle that measures greater than 0 and less than 90 degrees |
| Adjacent Angle | Two angles in the same place with a common vertex and a common side, but no comm on interior points. |
| Angle | A figure formed by two rays with a common endpoint |
| Angle Bisector | a ray that divides an angle into two congruent angles |
| Area | The number of nonoverlapping unit squares of a given size that will exactly cover the interior of a plane |
| Base | Any side of a triangle |
| Between | given three points A,B, and C, B is between A and C if and only if all three of the points lie on the same line, and AB+BC=AC |
| Bisect | to divide into two congruent parts |
| Circumference | the distance around a circle |
| Collinear | points that lie on the same line |
| Complementary angles | Two angles whose measures have a sum of 90 degrees |
| Congruent angles | angles that have the same measure |
| Congruent segments | two segments that have the same length |
| Construction | a method of creating a figure that is considered to be mathematically precise |
| Coordinate | a number used to identify the location of a point |
| Coordinate plane | a plane that is divided into four regions by a horizontal line is called the x-axis and a vertical line called y-axis |
| Coplanar | points that lie in the same plane |
| Degree | a unit of angle measure |
| Diameter | a segment that passes through the center of a circle and whose endpoints are on the circle, or the length of such a segment |
| Distance | the absolute value of the difference of the coordinates of two points |
| Endpoint | a point at an end of a segment or the starting point of a ray |
| Exterior of an angle | the set of all points outside an angle |
| Height | a segment from a vertex that forms a right angle with a line containing the base |
| Hypotenuse | the side opposite the right angle in a right triangle |
| Image | the shape that results from a transformation of a figure |
| Interior of an angle | the set of all points between the sides of an angle |
| Leg | one of the two sides of the right triangle that form the right angle |
| Length | the distance between the two endpoints of a segment |
| Line | a straight path that has no thickness and extends forever |
| Linear pair | a pair of adjacent angles whose noncommon sides are opposite rays |
| Measure | the use of units to find a size or quality |
| Midpoint | the point that divides a segment into two congruent segments |
| Obtuse angle | an angle that measures greater than 90 degrees and less than 180 degrees |
| Opposite rays | two rays that have a common endpoint and form a line |
| Perimeter | the sum of the side lengths of a closed plane figure |
| Pi | the ratio of the circumference of a circle to its diameter, denoted by the Greek letter n |
| Plane | a flat surface that has no thickness and extends forever |
| Point | a location that has no size |
| Postulate | a statement that is accepted as true without proof, also called an axiom |
| Preimage | the original figure in a transformation |
| Radius | a segment whose endpoint are the center of a circle and a point on the circle, or the distance from the center of a circle to any point on the circle |
| Ray | a part of a line that starts at an endpoint and extends forever in one direction |
| Reflection | a transformation across a line |
| Right Angle | an angle that measures 90 degrees |
| Rotation | a transformation about a point P, such that each point and its image are the same distance from P |
| Segment | a part of a line consisting of two endpoints and all points between them |
| Segment bisector | a line, ray, or segment that divides a segment into two congruent segments |
| Straight Angle | an angle formed by two opposite rays that measures 180 degrees |
| Supplementary Angle | two angles whose measures have a sum of 180 degrees |
| Transformation | a change in the position, size or shape of a figure |
| Translation | a transformation in which all the points of a figure move the same distance in the same direction |
| Undefined term | a basic figure that is not defined in terms of other figures |
| Vertex | the common endpoint of the sides of an angle |
| Vertical Angles | the nonadjacent angles formed by two intersecting lines. |