Fall Semester Review
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What do you need to know?
Chapter 1
 know the vocabulary (point, line, plane, collinear, noncollinear, coplanar, noncoplanar, intersection, segment, ray, angle, between, midpoint)
 use proper notation for the aforementioned vocabulary
 understand the precision of a measurement
 understand the midpoint of a segment
 apply the distance formula
 know and apply the vocabulary (adjacent angles, linear pair, vertical angles, complementary, supplementary, angle bisector)
 determine the area and perimeter of triangle, circle, rectangle
 perform the basic constructions (copy segment, copy angle, bisect angle, perpendicular bisector)
Chapter 2
 be able to determine the next item in a pattern
 understand the difference between inductive and deductive reasoning
 make a conjecture and understand counterexample
 truth tables, AND, OR
 conditional (ifthen) statements, hypothesis, conclusion, Law of Detachment, Law of Syllogism
 converse, inverse, contrapositive
 postulates in section 2.5
 algebraic proofs
 segment addition postulate, angle addition postulate
Chapter 3
 parallel lines and transversals (corresponding, alternate interior, alternate exterior, sameside interior (consecutive) angles)
 understand skew lines
 find slope of a line based on two given points
 understand slopes of parallel and perpendicular lines
 prove lines parallel
 write an equation for a line in slopeintercept form
 find the distance between parallel lines
Chapter 4
 classify triangles according to sides (scalene, isosceles, equilateral) or angles (right, acute, obtuse, equiangular)
 know the parts of an isosceles triangle
 use the Pythagorean Theorem
 the angle measures of a triangle add to 180 degrees
 prove triangles congruent
 the base angles of an isosceles triangle are congruent
 if two angles of a triangle are congruent then the sides opposite them are congruent
Chapter 5
 understand the altitude, median, angle bisector, and perpendicular bisector for triangles
 be able to perform and indirect proof
 The Triangle Inequality for one triangle (longest side is opposite greatest angle and vice versa)
 SSS and SAS Triangle Inequality Theorems for two triangles (if two sides of two triangles are congruent, but …)
Chapter 6
 determine the sum of the interior angles of a convex polygon
 determine the sum of the exterior angles of a convex polygon
 determine the measure of each interior and exterior angle of a regular polygon
 know the properties of every parallelogram
 understand the characteristics specific to a rhombus, rectangle, square, trapezoid, and kite
 use distance formula, midpoint formula and/or slope formula to show a quadrilateral's specific type
 solve problems related to the median of a trapezoid
Chapter 1
 know the vocabulary (point, line, plane, collinear, noncollinear, coplanar, noncoplanar, intersection, segment, ray, angle, between, midpoint)
 use proper notation for the aforementioned vocabulary
 understand the precision of a measurement
 understand the midpoint of a segment
 apply the distance formula
 know and apply the vocabulary (adjacent angles, linear pair, vertical angles, complementary, supplementary, angle bisector)
 determine the area and perimeter of triangle, circle, rectangle
 perform the basic constructions (copy segment, copy angle, bisect angle, perpendicular bisector)
Chapter 2
 be able to determine the next item in a pattern
 understand the difference between inductive and deductive reasoning
 make a conjecture and understand counterexample
 truth tables, AND, OR
 conditional (ifthen) statements, hypothesis, conclusion, Law of Detachment, Law of Syllogism
 converse, inverse, contrapositive
 postulates in section 2.5
 algebraic proofs
 segment addition postulate, angle addition postulate
Chapter 3
 parallel lines and transversals (corresponding, alternate interior, alternate exterior, sameside interior (consecutive) angles)
 understand skew lines
 find slope of a line based on two given points
 understand slopes of parallel and perpendicular lines
 prove lines parallel
 write an equation for a line in slopeintercept form
 find the distance between parallel lines
Chapter 4
 classify triangles according to sides (scalene, isosceles, equilateral) or angles (right, acute, obtuse, equiangular)
 know the parts of an isosceles triangle
 use the Pythagorean Theorem
 the angle measures of a triangle add to 180 degrees
 prove triangles congruent
 the base angles of an isosceles triangle are congruent
 if two angles of a triangle are congruent then the sides opposite them are congruent
Chapter 5
 understand the altitude, median, angle bisector, and perpendicular bisector for triangles
 be able to perform and indirect proof
 The Triangle Inequality for one triangle (longest side is opposite greatest angle and vice versa)
 SSS and SAS Triangle Inequality Theorems for two triangles (if two sides of two triangles are congruent, but …)
Chapter 6
 determine the sum of the interior angles of a convex polygon
 determine the sum of the exterior angles of a convex polygon
 determine the measure of each interior and exterior angle of a regular polygon
 know the properties of every parallelogram
 understand the characteristics specific to a rhombus, rectangle, square, trapezoid, and kite
 use distance formula, midpoint formula and/or slope formula to show a quadrilateral's specific type
 solve problems related to the median of a trapezoid