Download Geometry Name: Cheat Sheet: 5-1 - 5

Geometry
Cheat Sheet: 5-1 - 5-4
Name: _______________________________________
____o
Date: _____________________
Directions: If you complete it, you can use it!
5-1: Perpendicular and Angle Bisectors
1) Perpendicular Bisector Thm: a pt. on the perp. bisector is ____________________ from the ______________________.
2) Perp. Bisector Converse Thm: a pt. equidistant from the endpoints of a segment is on the ____________ ____________.
3) Angle Bisector Theorem: a pt. on the bisector of an angle is ____________________ from the __________ of the angle.
4) Angle Bisector Converse Thm: a pt. equidistant from the sides of an angle is on the _______________ _____________.
5-2: Bisectors of a Triangle
1) Concurrent: when _____ or more lines _________________________ at the same point.
2) Point of Concurrency: where _________________________ lines intersect.
3) Circumcenter: the pt. of concurrency for the 3 ____________________________ ____________________ of a triangle.
4) Circumcenter Theorem: the circumcenter of a triangle is equidistant from the ____________________ of the triangle.
5) Incenter: the pt. of concurrency for the 3 ____________________ ____________________ of a triangle.
6) Incenter Theorem: the incenter of a triangle is equidistant from the _______________ of the triangle.
5-3: Medians and Altitudes of a Triangle
1) Median: a segment whose endpoints are a _______________ and the _______________ of the opposite side.
2) Centroid: the point of concurrency for the 3 ____________________ of a triangle.
3) Centroid Theorem: the distance from a vertex to the centroid is _____ of the length of the ____________________.
4) Altitude: the segment _________________________ to a side of a triangle, going through the opposite ______________.
5) Orthocenter: the point of concurrency for the 3 ____________________ of a triangle.
5-4: The Triangle Midsegment Theorem
1) Midsegment: a segment whose endpoints are the ____________________ of the sides of a triangle.
2) Midsegment Triangle: the midsegments are NOT ____________________. Instead, they form a triangle.
3) Midsegment Theorem: a midsegment is ____________________ to a side of the triangle and is _____ the length.

You may fill this side of your cheat with any problems, facts, or drawings to use on the quiz tomorrow.