Download Geometry – Unit 3 Test Topics You are responsible for all material

Geometry – Unit 3 Test Topics
You are responsible for all material covered in class for this unit. Here is an outline of possible
topics on the Unit 3 Test.

Classify triangles by sides (equilateral, isosceles, scalene) and angles (acute, right,
obtuse, equiangular)

Find missing angle measures in a triangle

Solve for variables and find angle measures using exterior angles and remote interior
angles

Name parts of an isosceles triangle (vertex angle, base, base angles, legs)

Solve for variables using the angles or sides of a triangle, including isosceles &
equilateral triangles (angles of a triangle add up to 180, base angles of an isosceles
triangle are equal, sides of an equilateral triangle are equal, etc...)

Triangle Inequalities (order sides or angles of a triangle from least to greatest (largest
angle is opposite longest side & smallest angle is opposite shortest side), decide if 3
numbers could be the sides of a triangle (the sum of the two smallest must be larger
than the third), find the range for the third side of a triangle given the first two (add &
subtract the numbers))

Definition of concurrent, point of concurrency

Perpendicular Bisectors, circumcenter (perpendicular bisectors bisect the side of a
triangle at a right angle, circumcenter is equidistant to the three vertices of a triangle,
location of circumcenter: acute – inside, obtuse – outside, right – on)

Angle Bisectors, incenter (angle bisectors bisect an angle, incenter is equidistant to the
sides of a triangles, location of incenter is always inside)

Medians, centroid (medians bisect the side of a triangle, centroid is 2/3 away from the
vertex and 1/3 away from the side, location of centroid is always inside)

Proof of the Triangle Sum Theorem

Construct either the incircle or circumcircle of a triangle