Geometry Note Cards EXAMPLE:

Transcription

1 Geometry Note Cards EXAMPLE: Lined Side Word and Explanation Blank Side Picture with Statements Sections 12-4 through ) Theorem 12-3 (p. 790) 2) Theorem (p. 790) 3) Theorem (p. 793) 4) Equation of a Circle (p. 798) Sections 12-1 through ) Theorem 12-1 (p. 762) 2) Theorem 12-3 (p. 766) 3) Theorem 12-6 (p. 772) 4) Theorem 12-7 (p. 772) 5) Theorem 12-8 (p. 774) 6) Inscribed Angle Theorem (p. 780) 7) Corollaries to the Inscribed Angle Theorem (p. 782) - THREE SEPARATE CARDS 8) Theorem (p. 783) Sections 10-6 through ) Arc Measure (p. 650) 2) Arc Addition Postulate (p. 650) 3) Circumference of a Circle (p. 651) 4) Arc Length (p. 653) 5) Area of a Circle (p. 660) 6) Area of a Sector of a Circle (p. 661) Sections 10-1 through ) Area of a Rectangle, Parallelogram, Triangle, Trapezoid, Rhombus, and Kite (p. 616, 618, 623, 624) a. Draw pictures on both sides 2) Heron s Formula (p. 621)

2 3) Area of a Regular Polygon (p. 630) 4) Perimeters/Areas of Similar Figures (p. 635) 5) Area of a Triangle given SAS (p. 645) Sections 8-4 through 8-6 1) Angles of Elevation and Depression (p. 516) 2) Law of Sines (p. 522) 3) Law of Cosines (p. 527) Sections 8-1 through 8-3 1) Pythagorean Theorem (p. 491) 2) Theorem 8-3 Obtuse Triangle (p. 494) 3) Theorem 8-4 Acute Triangle (p. 494) 4) 45 o -45 o -90 o Triangle Theorem (p. 499) 5) 30 o -60 o -90 o Triangle Theorem (p. 501) 6) Trigonometric Ratios (p. 507) Sections 7-4 through 7-5 1) Similar Right Triangles Theorem 7-3 (p. 460) 2) Definition of Geometric Mean (p. 462) 3) Geometric Mean Altitude Corollary 1 (p. 462) 4) Geometric Mean Leg Corollary 2 (p. 463) 5) Side-Splitter Theorem (p. 471) 6) Triangle-Angle-Bisector Theorem (p. 473) Sections 7-1 through 7-3 1) Cross Products Property (p. 434) 2) Similar Polygons (p. 440) 3) Angle-Angle Similarity Postulate (p. 450) 4) Side-Angle-Side Similarity Theorem (p. 451) 5) Side-Side-Side Similarity Theorem (p. 451) Sections 6-6 through 6-7 1) Definition of a Trapezoid (p. 389) 2) Definition of an Isosceles Trapezoid (p. 389) 3) Theorem 6-19 (p. 389) 4) Theorem 6-20 (p. 391) 5) Trapezoid Midsegment Theorem (p. 391) 6) Definition of a Kite (p. 392) 7) Theorem 6-22 (p. 392) 8) Relationships Among Quadrilaterals (p. 393) 9) Distance Formula (p. 400) 10) Slope Formula (p. 400) Sections 6-1 through 6-5 1) Polygon Angle-Sum Theorem (p. 353)

3 2) Corollary to the Polygon Angle-Sum Theorem (p. 354) 3) Polygon Exterior Angle-Sum Theorem (p. 355) 4) Definition of a Parallelogram (p. 359) 5) Theorem 6-3 (p. 359) 6) Theorem 6-4 (p. 360) 7) Theorem 6-5 (p. 361) 8) Theorem 6-6 (p. 362) 9) Theorem 6-7 (p. 363) 10) Definition of a Rhombus (p. 375) 11) Definition of a Rectangle (p. 375) 12) Definition of a Square (p. 375) 13) Theorem 6-13 (p ) Theorem 6-14 (p. 376) 15) Theorem 6-15 (p. 378) Section 5-1 through 5-7 1) Triangle Midsegment Theorem (p. 285) 2) Perpendicular Bisector Theorem (p. 293) 3) Angle Bisector Theorem (p. 295) 4) Triangle Inequality Theorem (p. 327) 5) Hinge Theorem (p. 332) Sections 4-4 through 4-7 1) Isosceles Triangle Theorem (p. 250) 2) Theorem 4-5 (p. 250) 3) Corollary to Theorem 4-3 (p. 252) 4) Hypotenuse-Leg Theorem (p. 259) Sections 4-1 through 4-4 1) Definition of Congruent Polygons (p. 219) 2) Third Angle Theorem (p. 220) 3) Side-Side-Side Postulate (p. 227) 4) Side-Angle-Side Postulate (p. 228) 5) Angle-Side-Angle Postulate (p. 234) 6) Angle-Angle-Side Theorem (p. 236) 7) CPCTC (p. 244) Sections 3-5 through 3-8 1) Triangle Angle-Sum Theorem (p. 172) 2) Triangle Exterior Angle Theorem (p. 173) 3) Slope (p. 189) 4) Slope-Intercept Form (p. 190) 5) Point-Slope Form (p. 190) 6) Slopes of Parallel Lines (p. 197) 7) Slopes of Perpendicular Lines (p. 198)

4 Sections 3-1 through 3-4 1) Same-Side Interior Angles Postulate (p. 148) 2) Alternate Interior Angles Theorem (p. 149) 3) Corresponding Angles Theorem (p. 149) 4) Alternate Exterior Angles Theorem (p. 151) 5) Converse of the Corresponding Angles Theorem (p. 156) 6) Convers of the Alternate Interior Angles Theorem (p. 157) 7) Converse of the Same-Side Interior Angles Postulate (p. 157) 8) Converse of the Alternate Exterior Angles Theorem (p. 157) 9) Theorem 3-8 (p. 164) 10) Theorem 3-9 (p. 165) 11) Perpendicular Transversal Theorem (p. 166) Sections 2-5 through 2-6 1) Reflexive Property of Congruence (p. 114) 2) Symmetric Property of Congruence (p. 114) 3) Transitive Property of Congruence (p. 114) 4) Vertical Angles Theorem (p. 120) 5) Congruent Supplements Theorem (p. 122) 6) Congruent Complements Theorem (p. 123) 7) Theorem 2-4 (p. 123) 8) Theorem 2-5 (p. 123) Sections 2-1 through 2-4 1) Definition of a Counterexample (p. 84) a. Instead of picture, include an example 2) Definition of a Conditional Statement (p. 89) a. Instead of picture, include example with Hypothesis and Conclusion labeled 3) Definition of a Converse (p. 91) a. Instead of picture, include example from (1) of conditional and converse 4) Definition of a Biconditional (p. 98) a. Instead of picture, include an example from (1) and (2) of the biconditional 5) Law of Detachment (p. 106) a. Instead of picture, include the symbolism 6) Law of Syllogism (p. 108) a. Instead of picture, include the symbolism Sections 1-6 through 1-8 1) Definition of Perpendicular Lines (p. 44) 2) Definition of a Perpendicular Bisector (p. 44) 3) Midpoint Formula (coordinate plane) (p. 50) 4) Distance Formula (p. 52) 5) Circle Formulas (p. 59) Sections 1-2 through 1-5 1) Segment Addition Postulate (p. 21)

5 2) Definition of Congruent Segments (p. 22) 3) Definition of a Midpoint (p. 22) 4) Definition of a Segment Bisector (p. 22) 5) Definition of Congruent Angles (p. 29) 6) Angle Addition Postulate (p. 30) 7) Definition of Complementary Angles (p. 34) 8) Definition of Supplementary Angles (p. 34) 9) Linear Pair Postulate (p. 36) 10) Definition of an Angle Bisector (p. 37)