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Arc measure is represented by m and n. Lengths are given by a, b, c, and d.  \nx°  \nn°  \nm°  \nInscribed Angle  \nx = 1~~2 ~~ n  \nTangent-Chord  \nx = 1~~2 ~~ n  \n2 Chords  \na · b = c · dx = 1~~2 ~~ (m + n)  \nTangent-Secant  \na 2 = b(b + c) x = 1~~2 ~~ (m − n)  \n2 Secants  \nb (a + b) = d(c + d ) x = 1~~2 ~~ (m − n)  \n2 Tangents  \na = bx = 1~~2 ~~ (m − n)  \nRight Triangle Formulas  \na  \nPythagorean Theorem:  \nIf a right triangle has legs with measures a and b and hypotenuse with measure c, then...  \na 2 + b2 = c2  \nTrigonometric Ratios:  \nopposite  \nsin θ =  \ncos θ =  \nopposite  \nhypotenuse adjacent  \nhypotenuse  \nadjacent opposite  \ntan θ =  adjacent   \nCoordinate Geometry Properties  \nDistance Formula: d =  (x2 – x1)2 + (y2 – y 1)2  \nMidpoint:  Slope: m =  \nx 1 + x2  \n2 , y 2 − y 1  \nx2 − x1  \ny 1 + y 2 2  \nPoint-Slope Formula: (y − y 1) = m (x − x1)  \nSlope Intercept Formula: y = mx + b  \nStandard Equation ofa Line: Ax + By = C  \nCopyright © 2011 by the Pennsylvania Department of Education. The materials contained in this publication may be duplicated by Pennsylvania educators for local classroom use. This permission does not extend to the duplication of materials for commercial use.  \n KEYSTONE  REFERENCE   \nGEOMETRY FORMULA SHEET ─ PAGE 2  \nFormulas that you may need to solve questions on this exam are found below.  \nYou may use calculator π or the number 3.14.  \nPlane Figure Formulas  \ns  \nP = 4s A = s · s  \ns  \nw  \nP = 2l + 2 w A = lw  \nl  \nb  \nP = 2a + 2b A = bh  \n a   h  \nd  \nb  \nP = a + b + c + d A = ~~12~~ h (a + b)  \nP = b + c + d A = ~~12~~bh  \nb  \nC = 2􀀂r A = 􀀂r2  \nSum of angle measures = 180(n – 2), where n = number of sides  \nSolid Figure Formulas  \nh SA = 2 lw + 2 lh + 2wh V = lwh  \nSA = 4􀀂r2  \nV = ~~43~~􀀂r3  \nh  \nSA = 2􀀂r2 + 2􀀂 rh V = 􀀂r2 h  \nSA = 􀀂r2 + 􀀂rr 2 + h2 V = ~~13~~ 􀀂r2 h  \nSA = (Area of the base) + ~~12~~ (number of sides)(b)( )  \nV = ~~13~~ (Area of the base)(h)  \nEuler’s Formula for Polyhedra:  \nV − E + F = 2  \nvertices minus edges plus faces = 2  \nCopyright © 2011 by the Pennsylvania Department of Education. The materials contained in this publication may be duplicated by Pennsylvania educators for local classroom use. This permission does not extend to the duplication of materials for commercial use.","cbCailhbYPwtQfAa","https://ap.wps.com/l/cbCailhbYPwtQfAa","pdf",2168163,"English","# Properties of Circles\n## Inscribed Angle and Arc Measure\n## Tangent-Chord and Tangent-Secant\n# Right Triangle Formulas\n## Pythagorean Theorem\n## Trigonometric Ratios","[{\"question\":\"What coordinate geometry formulas are listed for computing distance and line equations?\",\"answer\":\"The sheet includes the distance formula, midpoint formula, slope, point-slope, slope-intercept, and the standard form Ax + By = C.\"}]","Keystone Reference Geometry Formula Sheet - Page 1 | PDF"]