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