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Transcript
Regular polygon Pythagorean Theorem Sine, Cosine, Tangent Parallel Lines and their Angles Isosceles Triangle Tangent Line Properties of a Parallelogram Definition of a Circle Properties of a Rhombus Supplementary Special Right Triangles Sum of interior angles of regular polygons SOH CAH TOA A polygon that is both equilateral and equiangular Sine = opposite/hypotenuse Cos = adjacent/hypotenuse Tan = opposite/adjacent Parallel Lines and their Angles 1 2 3 4 7 5 6 8 Corresponding Angles: <1= < 5; < 3 = < 7 < 2 = < 6; < 4 = < 8 Alternate Interior Angles: < 3 = < 6; < 4 = < 5 Alternate Exterior Angles: < 1 = < 8; < 2 = < 7 A line that intersects a circle in exactly one point. The set of all points in a plan equidistant from a given point. 45º x 2 60º 2x x x 45º a2+b2=c2 c = Hypotenuse For Right Triangles only A Triangle with two congruent sides and congruent base angles - Opposite Sides Congruent - Opposite Angles Congruent - Diagonals bisect each other - All 4 sides congruent Opposite Angles Congruent x not Congruent Diagonals Perpendicular but 30º x x 3 (n – 2) * 180 Angles sum to 180 degrees SSS Complementary Arc Length Vertical Angles Area of a Sector Volume Scale factor of similar polygons, of areas, of volumes SAS ASA AAS HL Similar Polygons & Angles Inscribed Angle Central Angle Area of a Segment Properties of a kite The distance along a portion of the circumference in linear units Angles sum to 90 degrees L( m )( 2r ) 360 A section of a circle in square units A( m )(r 2 ) 360 Ao = Area Original, As=Area Scaled As k 2 Ao Opposite Angles of non-adjacent side are congruent The amount of space inside a 3-D object with cubic units Vs k 3 Vo V = (Area of Base)(Height) Vo=Volume Original, Vs=Volume Scaled SSS SAS ASA AAS HL Facts: ABC ~ DEF AB BC AC DE EF DF A D B E C F Central Angle = Arc Measure Inscribed Angle = ½ Central Angle Central Angle = 2*Inscribed Angle A quadrilateral with exactly two pairs of congruent consecutive sides Area of Segment = Area of Sector – Area of Triangle ( m bh )( r 2 ) ( ) 360 2 Proportion Indirect measurement Geometric Mean Trigonometric Ratio Angle of Elevation Angle of Depression Apothem Surface Area Central Angle Converse Statement Mid-segment Theorem Tangent Lines The ratio of any length in the drawing to the corresponding actual length Sine, Cosine and Tangent are examples of this An equation stating that two ratios are equal The positive square root of the product of two positive numbers x a b The angle formed by a horizontal line The angle formed by a horizontal line and a line of sight to a point below the and a line of sight to a point above the line line The distance from the center to a side of a regular polygon The distance from the center to a side of a regular polygon 1 Area n ( a s) 2 n = # of sides The statement formed by exchanging the hypothesis and conclusion of a conditional statement A segment(s) that intersect the circle only once a = apothem s = side length An angle whose vertex is the center of a circle AB 1 ( MN LP ) 2