Geometry Chapter 5
Terms
undefined, object
copy deck
- Theorem 5.7
- If one side of a triangle is longer than another side, then the angle opposite the longer side is larger than the angle opposite the shorter side
- Angle Bisector Theorem
- If a point lies on the bisector of an angle then it is equidistant from the two sides of the angle
- circumcenter
- equidistant from the vertices of the triangle
- centroid
- two-thirds of the distance from each vertex to the midpoint of the opposite side
- Angle Bisector Converse Theorem
- If a point is in the interior of an angle and equidistant from the sides of an angle, then it lies on the bisector of the angle
- orthocenter
- the common point of the lines containing the altitudes of a triangle
- concurrent lines
- lines rays or segments that intersect at one point
- perpendicular bisector
- line, ray, or segment that is perpendicular to a segment and bisects the segment
- Distance from a point to a line
- length of a perpendicular segment from a point to the line
- Midsegment Theorem
- The segment connecting the midpoints of two sides of a triangle is parallel to the thrid side and is half its length
- Perpendicular Bisector Converse Theorem
- If a point is equidistant from the endpoints of a segment then that point lies on the perpendicular bisector of that segment
- Perpendicular Bisector Theorem
- If a point lies on the perpendicular bisector of a segment then it is equidistant from the endpoints of the segment
- incenter
- equidistant from the 3 sides of the triangle
- altitude
- segment from a vertex perpendicular to the opposite side
- median
- segment whose endpoints are a vertex and the midpoint of the opposite side