Chapter 1

Chapter 1

1. 1.1

   • Congruent: two lines that are the same length
     • Ray: made of a point and all the points after on one side
       • Midpoint: middle of a line segment. Separates line into two congruent segments.

2. 1.3

   • • Linear pair angles form a line and share a side
       • supplementary: angles that add up to 180deg
         • complementary: angles that add to 90deg

3. 1.5

   • • Scalene triangle: a triangle that has diffrent lengths. no triangles have congruent sides
       • Obtuse angle: a triangle with one angle that is abtuse or larger that 90deg

4. 1.4

   • • convex: all diagonals are inside the polygon
       • polygon: closed figure in a plane, formed by connecting line segments endpoint to endpoint with each segment intersecting exactly 2 others
         • each line segment is called a side
           • each endpoint is called a vertex of the polygon
             • diagonal of a polygon is a line segment that connects two nonconsecutive vertices
               • equilangular polygon: polygons in which all angles have equal measure
                 • regular polygons: polygongs that are both equolateral and equiangular
     • congurent polygons: equal length and equal angle measures
       • perimeter: the sum of the legnth of the sides
       • equilateral polygon: polygons which all sides have equal lengths

5. 1.6

   • • square: an equilangular rectangle, four equal sides and 4 equal angles
       • rhombus: an equilateral parallelogram
         • parallelogram: two sets of parallel sides
           • rectangle: equiangular parallelogram
             • trapezoid: a quadrilateral with exactly one pair of parallel sides

6. 1.2

   • • Vertex: point of an angle
       • measure of an angle: smallest amount of rotation about the vertex form one ray to the other
         • reflex measure of an angle: the largest amount of rotation less the 360º between the 2 rays
           • congruent: same or equal measure. 2 angles are congruent if and only if they have the same measure
             • angle bisector: ray that spilts the angle into two congruent angles

7. 1.8

   • Cylinder: 2 circular bases that are congruent and parallel
     • Cone: circular base with a point
       • Prism: 2 congruent polygon bases lateral sides are rectangles

8. 1.7

   • Central Angle:the angle with its vertex at the center of the circle, and sides passing through the endpoints of the arc
     • The arc of a minor arc is the same measure of the central angle.
       • The measure of a major arc is the same as the reflex measure of the central angle
         • the given distance from the center to the edge is the Radius
           • the middle point is called the center
             • Chord: a line segment that has endpoints on a circle
               • Diameter: chord that goes through the center
               • point of tangency: point where that tangent line touches the circle
                 • tangent: line that has one point on a circle
                   • congruent circles: 2 or more circles with the same radius
                     • Concentric circles: 2 or more coplanar circles that share the same center
                       • endpoints: the two points of the arc
                         • semicircle: an arc of a circle whose endpoints are the endpoints of a diameter
                           • minor arc: an arc of a circle that is smaller than a semicircle.
                             • major arc: an arc of a circle that is longer than a semicircle