Download Study Guide for Test 5

Name__________________________________________________________________________________________________________________
Geometry
Study Guide for Test 5
1.) Find the value of x. Review worksheet 5-1 and 5-2 and practice 5-4.
2.) Use a figure to designate an altitude, median, perpendicular bisector, angle bisector, or
midsegment
a. Altitidues are drawn from the ___________________________ of a triangle and is
__________________________________ to the opposite side.
b. Medians connect the _________________________ of a triangle and the ______________________________
of the opposite side.
c. Perpendicular bisectors of the sides of a triangle are marked __________________________________
with the right angle box and bisect the sides showing __________________________________________.
d. Angle bisectors cut the angles of a triangle into ________________________________________________.
e. A midsegment of a triangle connects two ____________________________________________ of a
triangle.
3.) Points of concurrency
4.) Special properties of points of concurrency.
a. The incenter of any triangle is ___________________ the triangle and equidistant to the
______________.
b. The circumcenter of a triangle is _________________________ an acute triangle,
_________________________________________________ of a right triangle, and _____________________ and
obtuse triangle and is equidistant to the ______________________________.
c. The centroid is _______________________ away from the vertex of a triangle and ________________
away from the midpoint of a side of a triangle.
d. The orthocenter is _________________________ an acute triangle,
_________________________________________________ of a right triangle, and _____________________ and
obtuse triangle.
5.) Place a < or > in between two angles or sides to show which angle or side is bigger.
a. Longer side across from __________________________ angle.
b. Smaller angle across from __________________________ side.
c. SAS Inequality
d. SSS Inequality
6.) Coordinate geometry.
a. Find the point (x, y) of the triangle’s circumcenter.