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Principles - 1st Geometry - 2nd College Algebra Principles - 5th Geometry - 6th

Principles - 1st Geometry - 2nd College Algebra Principles - 5th Geometry - 6th

Honors Geometry Materials

PROOFS CHEAT SHEET

Click here for a list of all possible reasons that can be used in our proofs.

TEST 1 - BASIC GEOMETRIC FIGURES
section	topic	written NOTES	videos	printable ASSIGNMENTS	HOMEWORK SOLUTIONS
1A	Points, Lines, and Planes Notes Outline	Notes	Points, Lines, & Planes 1 Example Video Points, Lines, & Planes 2 Example Video	OWS 1A.1 - Points, Lines, & Planes, #1-24 all	Solutions
				pp. 8-10, #1-8 all, #25-35 all, #41-45 all, #51-60 all	Solutions
				WS 1A.2 - Sketching Points, Lines, & Planes, #1-11 all	Solutions
				WS 1A.3 - Basic Geometric Figures, #1-20 all	Solutions
1B	Segments, Rays, and Length Notes Outline	Notes	Segments, Rays, and Length Example Video Segment Addition Example Video Midpoint Example Video	OWS 1B.1 - Segments, Rays, & Length, #1-45 all	Solutions
				pp. 16-18, #13-23 all, #27, #28, #34, #35	Solutions
				WS 1B.2 - Segments, Rays, & Length, #1-32 all	Solutions
1C	All About Angles Notes Outline	Notes	Angle Addition Example Video Angle Bisector Example Video	OWS 1C.1 - All About Angles, #1-27 all	Solutions
				pp. 41-43, #1-12 all, #15-27 odd, #31-43 odd, #49	Solutions
				WS 1C.2 - More About Angles, #1-2 all	Solutions
1D	Postulates and Theorems Notes Outline	Notes	N/A	OWS 1D.1 - Postulates & Theorems, #1-12 all	Solutions
				WS 1D.2 - Definitions & Postulates, #1-16 all	Solutions

TEST 2 - REASONING AND PROOF
section	topic	written NOTES	videos	printable ASSIGNMENTS	HOMEWORK SOLUTIONS
2A	Conditionals Notes Outline	Notes	Conditionals 1 Example Video Conditionals 2 Example Video	OWS 2A.1 - Conditionals, #1-31 all	Solutions
				pp. 69-71, #1-10 all, #23-34 all, #45-48 all, #52	Solutions
2B	Introduction to Proof Notes Outline	Notes	Concept Video: Why Bother With Proofs? Algebraic Proof 1 Example Video Algebraic Proof 2 Example Video	OWS 2B.1 - Introduction to Proof, #1-10 all	Solutions
				pp. 92-93, #1-33 odd, #35-38 all	Solutions
				WS 2B.2 - Another Introduction to Proof, #1-10 all	Solutions
2C	Midpoint and Angle Bisector Theorems Notes Outline	Notes	Proof Involving a Midpoint Example Video	OWS 2C.1 - Midpoint & Angle Bisector Theorems, #1-18 all	Solutions
				WS 2C.2 - Proving Theorems, #1-17 all	Solutions
2D	Special Angle Pairs Notes Outline	Notes	Complementary & Supplementary 1 Example Video Complementary & Supplementary 2 Example Video Vertical Angles Example Video Vertical Angles Proof Example Video	pp. 50-51, #1-21 all, #31-42 all	Solutions
				OWS 2D.1 - Special Angle Pairs, #1-17 all	Solutions
				OWS 2D.2 - More Special Angle Pairs, #1-17 all	Solutions

TEST 3 - PARALLEL LINES AND PLANES
section	topic	written NOTES	videos	printable ASSIGNMENTS	HOMEWORK SOLUTIONS
3A	Lines & Planes Notes Outline	Notes	Lines and Transversals Example Video Angles and Transversals Example Video Intersecting, Parallel, or Skew Example Video	OWS 3A.1 - Lines & Planes, #1-32 all	Solutions
				pp. 125-126, #1-22 all	Solutions
3B	Properties of Parallel Lines Notes Outline	Notes	Parallel Lines 1 Example Video Parallel Lines 2 Example Video Parallel Lines 3 Example Video	OWS 3B.1 - Properties of Parallel Lines, #1-13 all	Solutions
				pp. 131-132, #1-14, #19-24 all	Solutions
				OWS 3B.2 - More Properties of Parallel Lines, #1-10 all	Solutions
				OWS 3B.3 - Even More Properties of Parallel Lines, #1	Solutions
3C	Proving Lines Parallel Notes Outline	Notes	Proving Lines Parallel 1 Example Video Proving Lines Parallel 2 Example Video	OWS 3C.1 - Proving Lines Parallel, #1-14 all	Solutions
				OWS 3C.2 - More Proving Lines Parallel, #1-12 all	Solutions
				pp. 138-139, #1-6, #11-16, #19-22, #30-32 all	Solutions
				WS 3C.3 - Parallel Line Proofs 1, #1-2	Solutions
				WS 3C.4 - Parallel Line Proofs 2, #1-2	Solutions
				WS 3C.5 - Parallel Line Proofs 3, #1-2	Solutions

TEST 4 - INTRODUCTION TO POLYGONS
section	topic	written NOTES	videos	printable ASSIGNMENTS	HOMEWORK SOLUTIONS
4A	Angles of a Triangle Notes Outline	Notes	Angles of a Triangle 1 Example Video Angles of a Triangle 2 Example Video Exterior Angles of a Triangle Example Video	WS 4A.1 - Angles of a Triangle, #1-20 all	Solutions
				pp. 228-230, #9-34 all	Solutions
				OWS 4A.2 - More Angles of a Triangle, #1-15 all	Solutions
				OWS 4A.3 - Even More Angles of a Triangle, #1-16 all	Solutions
4B	Angles of Polygons Notes Outline	Notes	Angles of Polygons 1 Example Video Angles of Polygons 2 Example Video Regular Polygons 1 Example Video Regular Polygons 2 Example Video	WS 4B.1 - Angles of Polygons, #1-17 all	Solutions
				pp. 352-353, #1-37 odd	Solutions
				pp. 352-353, #2-36 even	Solutions
				OWS 4B.2 - More Angles of Polygons, #1-21 all	Solutions
4C	Inductive & Deductive Reasoning Notes Outline	Notes	Inductive and Deductive Reasoning 1 Example Video Inductive and Deductive Reasoning 2 Example Video	WS 4C.1 - Inductive and Deductive Reasoning, #1-24 all	Solutions
				WS 4C.2 - Reasoning with Parallel Lines, #1-15 all	Solutions
				pp. 78-80, #1-14 all, #29-32, #37, #42	Solutions
				WS 4C.3 - Inductive and Deductive Reasoning, #1-9 all	Solutions

TEST 5 - CONGRUENT TRIANGLES PART 1
section	topic	written NOTES	videos	printable ASSIGNMENTS	HOMEWORK SOLUTIONS
5A	Congruent Figures Notes Outline	Notes	Congruent Figures Example Video	pp. 235-236, #1-10 all, #17, #23, #24	Solutions
				OWS 5A.1 - Congruent Figures, #1-5 all	Solutions
				WS 5A.2 - More Congruent Figures, #1-9 all	Solutions
5B	Triangle Congruence Postulates Notes Outline	Notes	Proving Triangles Congruent 1 Example Video Proving Triangles Congruent 2 Example Video	OWS 5B.1 - Triangle Congruence Postulates, #1-11 all	Solutions
				OWS 5B.2 - More Triangle Congruence Postulates, #1-10 all	Solutions
				WS 5B.3 - SSS, SAS, and ASA Postulates, #1-2 all	Solutions
				p. 241, #5-8 all	Solutions
5C	Using Congruent Triangles Notes Outline	Notes	N/A	OWS 5C.1 - Using Congruent Triangles, #1-7 all	Solutions
				WS 5C.2 - More Using Congruent Triangles, #1-2 all	Solutions

TEST 6 - CONGRUENT TRIANGLES PART 2
section	topic	written NOTES	videos	printable ASSIGNMENTS	HOMEWORK SOLUTIONS
6A	Isosceles Triangle Theorems Notes Outline	Notes	Isosceles Triangle Theorems 1 Example Video Isosceles Triangle Theorems 2 Example Video Isosceles Triangle Theorems 3 Example Video	OWS 6A.1 - Isosceles Triangle Theorems, #1-11 all	Solutions
				pp. 248-249, #1-8, #11-18, #21-25 all	Solutions
				OWS 6A.2 - More Isosceles Triangle Theorems, #1-7 all	Solutions
6B	Triangle Congruence Theorems Notes Outline	Notes	AAS and HL Theorems 1 Example Video AAS and HL Theorems 2 Example Video	OWS 6B.1 - Triangle Congruence Theorems, #1-8 all	Solutions
				WS 6B.2 – Proving Triangles Congruent, #1-7 all	Solutions
				WS 6B.3 – Using More Than One Pair of Congruent Triangles 1, #1-2 all	Solutions
				WS 6B.4 – Using More Than One Pair of Congruent Triangles 2, #1-2 all	Solutions
				WS 6B.5 – Using More Than One Pair of Congruent Triangles 3, #1-2 all	Solutions
6C	Medians, Altitudes, and Perpendicular Bisectors Notes Outline	Notes	Medians, Altitudes, & Perpendicular Bisectors 1 Example Video Medians, Altitudes, & Perpendicular Bisectors 2 Example Video Medians, Altitudes, & Perpendicular Bisectors 3 Example Video Euler Lines Enrichment Video	OWS 6C.1 – Medians, Altitudes, & Perpendicular Bisectors, #1-10 all	Solutions
				WS 6C.2 – More Medians, Altitudes, and Perpendicular Bisectors, #1-10 all	Solutions
				p. 314, #25, #26	Solutions
				Enrichment: pp. 314-315, #1-14, #27-32, #39-42 all	Solutions

TEST 7 - PARALLELOGRAMS
section	topic	written NOTES	videos	printable ASSIGNMENTS	HOMEWORK SOLUTIONS
7A	Properties of Parallelograms Notes Outline	Notes	Properties of Parallelograms 1 Example Video Properties of Parallelograms 2 Example Video Properties of Parallelograms 3 Example Video Properties of Parallelograms 4 Example Video	OWS 7A.1 - Properties of Parallelograms, #1-17 all	Solutions
				OWS 7A.2 - More Properties of Parallelograms, #1-10 all	Solutions
				OWS 7A.3 - Even More Properties of Parallelograms, #1	Solutions
				pp. 360-362, #1-22 all, #29, #30, #43	Solutions
7B	Proving Quadrilaterals to be Parallelograms Notes Outline	Notes	Proving Quadrilaterals to be Paralellograms 1 Example Video Proving Quadrilaterals to be Paralellograms 2 Example Video Proving Quadrilaterals to be Paralellograms 3 Example Video	OWS 7B.1 - Proving Quadrilaterals to be Parallelograms, #1-10 all	Solutions
				OWS 7B.2 - More Proving Quadrilaterals to be Parallelograms, #1-6 all	Solutions
				pp. 369-371, #1-14 all, #22, #27, #28, #41, #43	Solutions
				WS 7B.3 – Even More Proving Quadrilaterals to be Parallelograms, #1-15 all	Solutions
7C	More Parallel Line Theorems Notes Outline	Notes	More Parallel Line Theorems 1 Example Video More Parallel Line Theorems 2 Example Video More Parallel Line Theorems 3 Example Video More Parallel Line Theorems 4 Example Video	OWS 7C.1 - Parallel Line Theorems, #1-11 all	Solutions
				OWS 7C.2 - More Parallel Line Theorems, #1-10 all	Solutions
				p. 321, #6-16 all	Solutions

MINI-TEST 8 - other quadrilaterals
section	topic	written NOTES	videos	printable ASSIGNMENTS	HOMEWORK SOLUTIONS
8A	Rectangles, Rhombuses, and Squares Notes Outline	Notes	Rectangles, Rhombuses, & Squares 1 Example Video Rectangles, Rhombuses, & Squares 2 Example Video The Median to a Hypotenuse Example Video	OWS 8A.1 - Rectangles, Rhombuses & Squares, #1-17 all	Solutions
				WS 8A.2 – More Rectangles, Rhombuses, and Squares, #1-20 all	Solutions
				OWS 8A.3 - Even More Rectangles, Rhombuses & Squares, #1-8 all	Solutions
				p. 379, #1-6 all, #11-22 all	Solutions
				p. 380, #29-52 all, #61-67 all	Solutions
8B	Trapezoids and Kites Notes Outline	Notes	Isosceles Trapezoids 1 Example Video Isosceles Trapezoids 2 Example Video Isosceles Trapezoids 3 Example Video	pp. 389-390, #5-10 all, #15-28 all	Solutions
				OWS 8B.1 - Trapezoids & Kites, #1-21 all	Solutions
				WS 8B.2 – Trapezoids, #1-17 all	Solutions
				OWS 8B.3 - More Trapezoids & Kites, #1-6 all	Solutions
				pp. 390-391, #35, #36, #46	Solutions

TEST 9 - SIMILAR POLYGONS
section	topic	written NOTES	videos	printable ASSIGNMENTS	HOMEWORK SOLUTIONS
9A	Ratio & Proportion Notes Outline	Notes	Ratios & Proportions 1 Example Video Ratios & Proportions 2 Example Video	OWS 9A.1 - Ratio & Proportion, #1-13 all	Solutions
				OWS 9A.2 - More Ratio & Proportion, #1-13 all	Solutions
9B	Similar Polygons Notes Outline	Notes	Similar Polygons 1 Example Video Similar Polygons 2 Example Video	OWS 9B.1 - Similar Polygons, #1-25 all	Solutions
				pp. 409-411, #1-6 all, #9, #10, #21, #33-36 all, #43-48 all	Solutions
9C	AA Similarity Postulate Notes Outline	Notes	AA~ Postulate 1 Example Video AA~ Postulate 2 Example Video Similar Triangles Word Problem 1 Example Video	OWS 9C.1 - AA Similarity Postulate, #1-12 all	Solutions
				OWS 9C.2 - More AA Similarity Postulate, #1-11 all	Solutions
				pp. 417-418, #1-17 all, #23-26 all	Solutions
9D	SSS & SAS Similarity Theorems Notes Outline	Notes	SAS~ and SSS~ Theorems 1 Example Video SAS~ and SSS~ Theorems 2 Example Video SAS~ and SSS~ Theorems 3 Example Video	OWS 9D.1 - SSS & SAS Similarity Theorems, #1-9 all	Solutions
				OWS 9D.2 - More SSS & SAS Similarity Theorems, #1-9 all	Solutions
				pp. 425-428, #1-6, #9-17 all, #25, #31	Solutions
9E	Proportional Lengths Notes Outline	Notes	Proportional Lengths 1 Example Video Proportional Lengths 2 Example Video Proportional Lengths 3 Example Video	OWS 9E.1 - Proportional Lengths, #1-12 all	Solutions
				pp. 434-435, #1, #2, #11-24 all, #26, #28	Solutions
				OWS 9E.2 - More Proportional Lengths, #1-11 all	Solutions

TEST 10 - RIGHT TRIANGLES
section	topic	written NOTES	videos	printable ASSIGNMENTS	HOMEWORK SOLUTIONS
10A	Right Triangle Similarity Notes Outline	Notes	N/A	OWS 10A.1 - Right Triangle Similarity, #1-21 all	Solutions
				pp. 466-467, #1-25 all, #36, #37	Solutions
10B	The Pythagorean Theorem Notes Outline	Notes	Pythagorean Theorem 1 Example Video Pythagorean Theorem 2 Example Video Pythagorean Theorem 3 Example Video Pythagorean Theorem 4 Example Video	OWS 10B.1 - The Pythagorean Theorem, #1-15 all	Solutions
				OWS 10B.2 - More Pythagorean Theorem, #1-15 all	Solutions
10C	The Converse of The Pythagorean Theorem Notes Outline	Notes Proof of Triangle Inequality	Pythagorean Converse 1 Example Video Pythagorean Converse 2 Example Video Pythagorean Converse 3 Example Video	OWS 10C.1 - Converse of the Pythagorean Theorem, #1-14 all	Solutions
				pp. 452-453, #1-23 all	Solutions
10D	Common Right Triangles Notes Outline	Notes	Common Right Triangles 1 Example Video Common Right Triangles 2 Example Video Common Right Triangles 3 Example Video Common Right Triangles 4 Example Video	OWS 10D.1 - Common Right Triangles, #1-15 all	Solutions
				OWS 10D.2 - More Common Right Triangles, #1-14 all	Solutions
				p. 459, #1-12 all, #15	Solutions
10E	Trigonometric Ratios Notes Outline	Notes	Trigonometric Ratios 1 Example Video Trigonometric Ratios 2 Example Video Trigonometric Ratios 3 Example Video Trigonometric Ratios 4 Example Video	WS 10E.1 – Trigonometric Ratios 1, #1-16 all	Solutions
				WS 10E.2 – Trigonometric Ratios 2, #1-14 all	Solutions
10F	Applications of Trigonometry Notes Outline	Notes	Applications of Trigonometry 1 Example Video Applications of Trigonometry 2 Example Video Applications of Trigonometry 3 Example Video	OWS 10F.1 - Applications of Trigonometry, #1-10 all	Solutions

MIDTERM EXAM
THIS TEST WILL COVER ENTIRE YEAR TO THIS POINT
Blank Midterm Review	Midterm Review Solutions
70 MULTIPLE-CHOICE QUESTIONS

TEST 11 - COORDINATE GEOMETRY (ALGEBRA I REVIEW - ON YOUR OWN)
LESSON	topic	written NOTES	videos	printable ASSIGNMENTS	HOMEWORK SOLUTIONS
11A	Graphing by the Table Method	Notes	N/A	WS 11A.1 - Graphing Equations by the Table Method, #1-8 all	Solutions
11B	Slope	Notes	Lesson Video: Slope	WS 11B.1 - Slope, #1-10 all	Solutions
				WS 11B.2 - More Slope, #1-10 all	Solutions
11C	Graphing Lines	Notes	Lesson Video: Graphing by Slope-Intercept Lesson Video: Graphing by x and y-intercepts	WS 11C.1 - Graphing Lines, #1-6 all	Solutions
				WS 11C.2 - More Graphing Lines, #1-6 all	Solutions
11D	Writing Equations of Lines	Notes	Lesson Video: Equations of Lines Lesson Video: Parallel & Perpendicular Lines	WS 11D.1 - Writing Equations of Lines, #1-11 all	Solutions
				WS 11D.2 - More Writing Equations of Lines, #1-10 all	Solutions
11E	Standard Form & Point-Slope Form	Notes	Lesson Video: Standard Form & Point-Slope Form Lesson Video: Equations, Graphs & Tables	WS 11E.1 - Standard Form & Point-Slope Form, #1-8 all	Solutions
				WS 11E.2 - More Standard Form & Point-Slope Form, #1-8 all	Solutions
				WS 11E.3 - Equations, Graphs, & Tables,, #1-6 all	Solutions

TEST 12 - CIRCLES
section	topic	written NOTES	videos	printable ASSIGNMENTS	HOMEWORK SOLUTIONS
12A	Introduction to Circles Notes Outline	Notes	Introduction to Circles 1 Example Video Introduction to Circles 2 Example Video Tangents to Circles 1 Example Video Tangents to Circles 2 Example Video Tangents to Circles 3 Example Video	OWS 12A.1 - Introduction to Circles, #1-11 all	Solutions
				pp. 516-517, #11-20 all, #23-28 all, #36, #37, #38	Solutions
				WS 12A.2 - Tangents to a Circle, #1-20 all	Solutions
12B	Arcs and Central Angles Notes Outline	Notes	Arcs and Central Angles 1 Example Video Arcs and Central Angles 2 Example Video Arcs and Central Angles 3 Example Video	OWS 12B.1 - Arcs & Central Angles, #1-11 all	Solutions
				pp. 524-525, #1-12 all, 15-23 all, #25, #29	Solutions
12C	Arcs and Chords Notes Outline	Notes	Arcs and Chords 1 Example Video Arcs and Chords 2 Example Video Arcs and Chords 3 Example Video Arcs and Chords 4 Example Video Arcs and Chords 5 Example Video	OWS 12C.1 - Arcs & Chords, #1-17 all	Solutions
				pp. 531-532, #1-15 all, #20	Solutions
12D	Inscribed Angles Notes Outline	Notes	Inscribed Angles 1 Example Video Inscribed Angles 2 Example Video Inscribed Angles 3 Example Video Inscribed Angles 4 Example Video Inscribed Angles 5 Example Video	OWS 12D.1 - Inscribed Angles, #1-16 all	Solutions
				pp. 538-539, #1-14 all, #21, #22, #25	Solutions
12E	Other Angles Notes Outline	Notes	Other Angles 1 Example Video Other Angles 2 Example Video Other Angles 3 Example Video	OWS 12E.1 - Other Angles, #1-3 all	Solutions
				OWS 12E.2 - More Other Angles, #1-14 all	Solutions
				pp. 546-548, #1-15 all, #29	Solutions
12F	Circles and Lengths of Segments Notes Outline	Notes	Circles and Segments 1 Example Video Circles and Segments 2 Example Video Circles and Segments 3 Example Video Circles and Segments 4 Example Video	OWS 12F.1 - Circles & Lengths of Segments, #1-19 all	Solutions
				p. 553, #1-16 all	Solutions

TEST 13 - MEASUREMENT OF 2D AND 3D FIGURES
MEASUREMENT RESOURCES					PRINTABLE ASSIGNMENTS	HOMEWORK SOLUTIONS
Measurement of 2D and 3D Figures Formula Sheet			Notes Outline	Notes	WS 13A.1 – Measurement 1, #1-10 all WS 13A.2 – Measurement 2, #1-10 all WS 13A.3 – Measurement 3, #1-10 all	Solutions Solutions Solutions
Area & Circumference of Circle Video	Sector Area & Arc Length of Circle Video 1	Sector Area & Arc Length of Circle Video 2	Sector Area & Arc Length of Circle Video 3	Area of Right Triangle Video
Area of Isosceles Triangle Video	Area & Perimeter of Square Video	Area & Perimeter of Rectangle Video 1	Area & Perimeter of Rectangle Video 2	Area & Perimeter of Rectangle Video 3
Area of Rhombus Video	Area of Regular Polygon Video 1	Area of Regular Polygon Video 2	Area of Regular Polygon Video 3	Area of Regular Polygon Video 4
Area of Parallelogram Video	Area of Trapezoid Video	Area of Isosceles Trapezoid Video	Volume & Surface Area of Sphere Video 1	Volume & Surface Area of Sphere Video 2
Volume & Surface Area of Prism Video 1	Volume & Surface Area of Prism Video 2	Volume & Surface Area of Prism Video 3	Volume & Surface Area of Pyramid Video 1	Volume & Surface Area of Pyramid Video 2
Parts of a Prism Video	Volume & Surface Area of Cylinder Video 1	Volume & Surface Area of Cylinder Video 2	Volume & Surface Area of Cone Video 1	Volume & Surface Area of Cone Video 2

final EXAM
THIS TEST WILL COVER ENTIRE YEAR TO THIS POINT
Blank Final Review	Final Review Solutions
70 MULTIPLE-CHOICE QUESTIONS

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