Semester 1 Outline
Vocabulary: points, lines, planes, collinear, coplanar, segment, congruent,
midpoint, bisect. ray, angle (parts of an angle: vertex & sides), right angle,
adjacent angles, vertical angles, linear pair, complementary angles,
supplementary angles, perpendicular, polygon (concave & convex), regular,
perimeter, conjecture, inductive reasoning, deductive reasoning, counter
example, conjunction, disjunction, skew lines. parallel lines, equidistant,
scalene triangle, isosceles triangle, equilateral triangle, right triangle, obtuse
triangle, acute triangle, equiangular triangle, perpendicular bisector,
circumcenter, angle bisector, incenter, median, centroid, altitude,
orthocenter,
Chapter 1:
Know how to find distance and midpoint on the coordinate plane
Be able to find angle measures using vertical angles and linear pairs
Be able to find the perimeter of polygons and use perimeter to find missing
sides
Chapter 2
Be able to make and interpret Venn Diagrams
Be able to construct truth tables
Know how to find the converse, inverse, and contrapositive of a given
conditional and be able to give the truth value of the statements
Be able to make a biconditional from 2 conditionals and vice versa
Know Law of Detachment and Law of Syllogism
Segment Addition Postulate
Angle Addition Postulate
Reflexive, Transitive, and Symmetric Properties
Algebraic Properties of Equality
Supplement Theorem
Complement Theorem
Congruent Complements and Congruent Supplement Theorems
Vertical Angles Theorem
Theorems pg. 111
Chapter 3
Know alternate interior, alternate exterior, consecutive interior, and
corresponding angles and their relationship when lines are parallel( 1
postulate and 3 theorems)
slope formula
Know how to find equations of lines with slope and a point or two points
Know slope intercept form and point slope form
Know the Converses of the above theorems and postulate
Know that the perpedicular distance is the distance between a point and a
line or two lines
Chapter 4
Know how to classify triangles by sides and angles
Triangle Sum Theorem
Exterior Angle Theorem
CPCTC
SSS, SAS, ASA, AAS, LL, HA, LA, HL
Isosceles Triangle Theorem
Converse of Isosceles Triangle Theorem
Coordinate Proofs (multiple choice questions only)
Chapter 5
Know all the special lines in a triangle and their points of concurrency
Be able to find the orthocenter, circumcenter, and centroid on the
coordinate plane
Know the relationships formed by the centroid
Know the Exterior Angle Inequality Theorem and the Theorems pg. 249 and
250
Know the Triangle Inequality Theorem
Know SAS and SSS Inequality Theorems
Chapter 6
Proportions
Similar polygons and scale factors
Be able to find missing sides using scale factors
AA, SSS, SAS similarity Theorems
Proportional parts of triangles (midsegments and parallel lines)
Proportional perimeters
Special segments of similar triangles