Fall Semester Review
Practice Test ------------------------------>
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Practice Test Answers ----------------->
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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 (if-then) 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, same-side 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 slope-intercept 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 (if-then) 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, same-side 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 slope-intercept 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