Honors Geometry
Teacher: Mrs. Vitale
This class has a lot of content to remember, but as far as the math itself goes, once you've thoroughly grasped a concept, you're good to go. Don't forget to review the mathematical processes, formulas, and vocabulary.
Content
67 questions
Each question is worth 3 points (201 total)
- all in chronological order
- 4 out of the 7 constructions we learned
- 3 proofs (one algebra proof)
- some standardized test questions
Each question is worth 3 points (201 total)
What to Study
Chapter 1
Section 1
Points, lines, planes, undefined terms
Collinear points, collinear planes, defined terms
Line segment, endpoints, ray, opposite rays, notation
Intersection
Section 2
Postulate, Ruler Postulate, between, Segment Addition Postulate
Congruent segments, distance between, coordinates
Section 3
Midpoint, segment bisector
Midpoint and Distance Formulas
Section 4
Angle, parts – sides, vertex, measuring using a protractor
Classifying an angle – acute, right, obtuse, straight
Angle Addition Postulate
Congruence (notation and meaning), congruent angles
Angle bisector
Constructing a congruent segment and angle
Constructions of segment and angle bisectors
Section 5
Complementary and supplementary angles
Adjacent angles, linear pair, vertical angles
Section 6
Polygon – parts, definition
Convex, concave, equilateral, equiangular, regular
Section 7
Perimeter, circumference, area
Chapter 2
Section 1
Inductive reasoning, conjecture, counterexample
Section 2
Conditional statement, if-then form, hypothesis, conclusion
Negation, inverse, converse, contrapositive, biconditional statement
Equivalent statements, perpendicular lines
Section 3
Deductive reasoning, Law of Detachment, Law of Syllogism
Section 4
Point, line and plane postulates
Line perpendicular to a plane
Section 5
Properties of Equality, Distributive Property
Reflexive, Symmetric, Transitive Properties of Equality
Section 6
Theorem, proof
Algebra proof, segment and angle proof (fill-ins)
Section 7
Right Angle Congruence Theorem
Congruent Complements Theorem, Congruent Supplements Theorem
Linear Pair Postulate, Vertical Angles Congruence Theorem
Chapter 3
Section 1
Parallel lines, skew lines, intersecting lines, perpendicular lines
Parallel planes
Parallel Postulate, Perpendicular Postulate
Section 2
Transversal, corresponding angles, alternate interior angles, alternate exterior angles, consecutive interior angles
Parallel lines cut by a transversal, postulates and theorems involved
Section 3
Converse postulates and theorems to prove lines parallel
Paragraph proof
Transitive property of parallel lines
Section 4
Slope – rise over run, formula
Slopes of parallel and perpendicular lines postulates
Section 5
Slope-intercept form of a line
Writing and graphing equations using slope-intercept form
Point-slope and Standard Form of a line
Section 6
Theorems involving perpendicular lines
Perpendicular Transversal Theorem, Lines Perpendicular to a Transversal Theorem
Distance from a point to a line
Perpendicular and parallel lines through a given point constructions
Chapter 4
Section 1
Triangle definition, classifying triangles by their sides and angles
Interior angles and exterior angles of a triangle
Triangle Sum Theorem, Exterior Angle Theorem
Corollary to a theorem, Corollary to the Triangle Sum Theorem
Section 2
Congruent figures, corresponding parts
Third Angle Theorem
Properties of Congruent Triangles – reflexive, symmetric, transitive
Section 3
SSS Congruence Postulate
Section 4
SAS Congruence Postulate, HL Congruence Theorem
Parts of right triangle – hypotenuse and legs
Section 5
ASA Congruence Postulate, AAS Congruence Theorem
Section 6
CPCTC (corresponding parts of congruent triangles are congruent)
Section 7
Isosceles triangles, its parts, and Base Angles Theorem and converse
Equilateral triangles and the corollaries to the Base Angles Theorem and converse
Transformations
Packet
Define, preimage, image
Reflection, translation, rotation, dilation – determining from a picture and determining
Chapter 4 Section 8
Congruence transformation
Coordinate notation for translations
Chapter 6 Section 7
Reductions and enlargements for dilation
Chapter 9 (Sections 1-6)
Isometry (9.1)
Isometry theorems (9.1, 9.3, 9.4)
Glide reflections and compositions (9.5)
Symmetry – line and some rotational (9.6)
Chapter 8
Section 1
Polygons, diagonals
Polygon Interior Angles Theorem, corollary, Polygon Exterior Angles Theorem
Section 1
Points, lines, planes, undefined terms
Collinear points, collinear planes, defined terms
Line segment, endpoints, ray, opposite rays, notation
Intersection
Section 2
Postulate, Ruler Postulate, between, Segment Addition Postulate
Congruent segments, distance between, coordinates
Section 3
Midpoint, segment bisector
Midpoint and Distance Formulas
Section 4
Angle, parts – sides, vertex, measuring using a protractor
Classifying an angle – acute, right, obtuse, straight
Angle Addition Postulate
Congruence (notation and meaning), congruent angles
Angle bisector
Constructing a congruent segment and angle
Constructions of segment and angle bisectors
Section 5
Complementary and supplementary angles
Adjacent angles, linear pair, vertical angles
Section 6
Polygon – parts, definition
Convex, concave, equilateral, equiangular, regular
Section 7
Perimeter, circumference, area
Chapter 2
Section 1
Inductive reasoning, conjecture, counterexample
Section 2
Conditional statement, if-then form, hypothesis, conclusion
Negation, inverse, converse, contrapositive, biconditional statement
Equivalent statements, perpendicular lines
Section 3
Deductive reasoning, Law of Detachment, Law of Syllogism
Section 4
Point, line and plane postulates
Line perpendicular to a plane
Section 5
Properties of Equality, Distributive Property
Reflexive, Symmetric, Transitive Properties of Equality
Section 6
Theorem, proof
Algebra proof, segment and angle proof (fill-ins)
Section 7
Right Angle Congruence Theorem
Congruent Complements Theorem, Congruent Supplements Theorem
Linear Pair Postulate, Vertical Angles Congruence Theorem
Chapter 3
Section 1
Parallel lines, skew lines, intersecting lines, perpendicular lines
Parallel planes
Parallel Postulate, Perpendicular Postulate
Section 2
Transversal, corresponding angles, alternate interior angles, alternate exterior angles, consecutive interior angles
Parallel lines cut by a transversal, postulates and theorems involved
Section 3
Converse postulates and theorems to prove lines parallel
Paragraph proof
Transitive property of parallel lines
Section 4
Slope – rise over run, formula
Slopes of parallel and perpendicular lines postulates
Section 5
Slope-intercept form of a line
Writing and graphing equations using slope-intercept form
Point-slope and Standard Form of a line
Section 6
Theorems involving perpendicular lines
Perpendicular Transversal Theorem, Lines Perpendicular to a Transversal Theorem
Distance from a point to a line
Perpendicular and parallel lines through a given point constructions
Chapter 4
Section 1
Triangle definition, classifying triangles by their sides and angles
Interior angles and exterior angles of a triangle
Triangle Sum Theorem, Exterior Angle Theorem
Corollary to a theorem, Corollary to the Triangle Sum Theorem
Section 2
Congruent figures, corresponding parts
Third Angle Theorem
Properties of Congruent Triangles – reflexive, symmetric, transitive
Section 3
SSS Congruence Postulate
Section 4
SAS Congruence Postulate, HL Congruence Theorem
Parts of right triangle – hypotenuse and legs
Section 5
ASA Congruence Postulate, AAS Congruence Theorem
Section 6
CPCTC (corresponding parts of congruent triangles are congruent)
Section 7
Isosceles triangles, its parts, and Base Angles Theorem and converse
Equilateral triangles and the corollaries to the Base Angles Theorem and converse
Transformations
Packet
Define, preimage, image
Reflection, translation, rotation, dilation – determining from a picture and determining
Chapter 4 Section 8
Congruence transformation
Coordinate notation for translations
Chapter 6 Section 7
Reductions and enlargements for dilation
Chapter 9 (Sections 1-6)
Isometry (9.1)
Isometry theorems (9.1, 9.3, 9.4)
Glide reflections and compositions (9.5)
Symmetry – line and some rotational (9.6)
Chapter 8
Section 1
Polygons, diagonals
Polygon Interior Angles Theorem, corollary, Polygon Exterior Angles Theorem
HelpFul Documents
The second document is the transformations (Chapter 9) PowerPoint that we used in class, making up for the fact that I included none of Chapter 9 in any of the other documents (oops) except for the midterm outline (first document), which was made by Mrs. Vitale. The third document is the conditional statements PowerPoint that we also went over in class. The fourth document is the transformations packet that Mrs. Vitale gave us, the fifth is extra practice that I found in the back of the textbook, and the sixth document lists the postulates and theorems we have used and will have to know (you do not need to know all of these, just the ones we went over in class: most of Chapters 1-4 and Chapter 8 Sections 1 & 2. The last document includes the chapter summaries of every chapter except for Chapter 9, since I forgot about that chapter, but these can be found in the textbook as well.
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File Size: | 4992 kb |
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