Download Advanced Geometry Placement Exam Topic List 1. Two

Advanced Geometry
Placement Exam Topic List
1.
Two-column proof (including median or altitude)
2.
Conditional statement, converse, inverse, and contrapositive
3.
Proving triangles congruent (including overlapping triangles)
4.
Addition, subtraction, multiplication, and division properties of segments
and angles
5.
Complementary and supplementary angles and their theorems
6.
Indirect proof
7.
Parallel lines and slope
8.
Properties of special quadrilaterals
9.
Properties relating to planes, parallel planes, and skew lines
10.
Regular polygons and the measures of their associated interior and
exterior angles
11.
Ratio, proportion, geometric mean
12.
Similar triangles
13.
Pythagorean Theorem and distance formula
14.
Radicals and quadratic equations
15.
Trig ratios and special right triangles (30-60-90/ 45-45-90)
16.
Pythagorean Theorem in space
17.
Area of polygons and circles
18.
Circles (radius, diameter, arcs, chords, angle-arc theorems, etc.)
19.
Surface area and volume of prisms and cylinders
20.
Triangle Inequality Theorem / Exterior-Angle Inequality Theorem
FCPS
Dec. 2007