Download Geometry Cheat Sheet: Formulas and Problems with Solutions and more Cheat Sheet Geometry in PDF only on Docsity! BASIC GEOMETRIC FORMULAS AND PROPERTIES This handout is intended as a review of basic geometric formulas and properties. For further or more advanced geometric formulas and properties, consult with a SLAC counselor. r Square: Perimeter: P = 4s or 2s + 2s Area: A = s2 s s Rectangle: l w Perimeter: P = 2w + 2l Area: A = l ×w Triangles: Perimeter: P = a + b + c a c h b Area: A = (1/2) × b × h Types of Triangles: Isosceles (two equal sides) Equilateral (all sides equal) Right (one 90o or right angle) A c b B C a Pythagorean Theorem (for right triangles only): a2 + b 2 = c2 Sum of the Angles (all triangles): o A + B + C = 180 iameter: Circle: D d = 2r Circumference: C = 2 π r = π d Area: A = π r2 Rectangular Solid: l w h Volume: V = l × w h w) + (2 × Surface Area: S = (2 h × × × l × h ) + (2 × l × w) ight C R ircular Cylinder: Volume: V = π r h 2 r h Surface Area: S = 2 π r h + 2 π r2 mentary ures les A les. omplementary Angles: C Two angles are comple if the sum of their meas C A D B is 90o. Angles A and B are complementary angles. Ang and C are complementary ang upple d 2 are pplementary angles. Angles ntary angles. Oppos o lines, s). Angles 2 and 3 are congruent. Angles: re also alternate interior angles. re called alternate ior nt. re also alternative exterior angles. nt. (opposite/vertical angles) Angles 4 and 5 are congruent. (alternate interior angles) Straight lines have degrees measuring B is a straight line, m3 S mentary Angles: Two angles are supplementary if the sum of their measures is 180o. Angles 1 an su 2 and 4 are suppleme m1 2 1 4 3 m2 6 5 8 7 ite/Vertical Angles: he intersection of tw m and m , form four T 1 3 angles. Opposite (vertical) angles are congruent (have equal measure Angles 1 and 4 are congruent. Alternate Interior and Exterior Lines m1 and m2 are parallel. Angles 4 and 5 are called alternate interior angles. Alternate interior angles are congruent. Angles 3 and 6 a Angles 2 and 7 a exterior angles. Alternate exter angles are congrue Angles 1 and 8 a Note: Angles 1 and 4 are congrue Angles 5 and 8 are congruent. (opposite/vertical angles) Angles 1 and 8 are congruent. (alternate exterior angles) Angles 2 and 6 are congruent. (corresponding angles) Angles 3 and 7 are congruent. (corresponding angles) etc. Straight Lines: 180o. If D to D C B then angle DCB is 180o. 2
