* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download ACT Geometry Review Sheet
Survey
Document related concepts
History of geometry wikipedia , lookup
Rotation formalisms in three dimensions wikipedia , lookup
Riemannian connection on a surface wikipedia , lookup
Analytic geometry wikipedia , lookup
Line (geometry) wikipedia , lookup
History of trigonometry wikipedia , lookup
Trigonometric functions wikipedia , lookup
Multilateration wikipedia , lookup
Euler angles wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Rational trigonometry wikipedia , lookup
Transcript
ACT Geometry Review Sheet The Fab Five: 1) Pythagorean theorem, 2) Angles in a triangle add to 180, 3) Linear angles (pairs, triples, etc), 4) Base angles of an isosceles triangle are congruent 5) Tangent and a radius are *Use other problems to help---ie,. mABC, which means “measure of angle ABC” is similar to mAB which means “measure of arc AB” Angles: notation, vertex supplementary, complementary Adding to 180o ie. linear pairs Vertical angles Adding to 90o ie acute angles in a rt triangle 360o *just because something looks like it is being split in two, don’t assume this!!!!!.........ex. a 90° with a split is not necessarily a 45°,45° split exceptions: squares, equilateral triangles, isosceles triangles, regular hexagons Parallel lines: notation The big three 1) Alternate interior angles 2) Corresponding angles 3) Same side interior angles Similar triangles: corresponding parts are in proportion, therefore set up proportions. A 6 B E 8 Proving: AA, SSS, SAS x C Parallelograms: Opposite sides are parallel Opposite angles are congruent Opposite sides are congruent Diagonals bisect each other 12 D square; rectangle; rhombus Trapezoids: *4 sided figure with one set of parallel lines. *With isosceles trapezoid—can guess on bisecting angels, congruent sides etc. Right triangles: a2 + b2 = c2 *** 30: 60 : 90 **** 45 : 45 : 90 *** SOHCAHTOA to find angle, use sin-1 Circles: radius and tangent line 1) Angle at center = arco 2) Angle on the circle = ½ arco equation of a circle (x - h)2 + ( y – k )2 = r2 Perimeter; Area; Volume, Surface Area, "Similarity" Be creative!!! Specials usually not on formula sheets: Area of rhombus/ square involving diagonals Area of an equilateral triangle Algebra tool kit #1….Substitution!!!!!! Factoring / FOIL ---- difference of 2 squares, trinomials………set = 0 to solve an equation Graphing ----- make a T chart ….. ex. y = x2 Exponent rules ------ Multiplying with like bases, add exponents Exponent to exponent, multiply exponents Absolute Values --- if an equation, set up two equations Inequalities ---- solve as equals, flip symbol when mult or div by "-" Square roots ---- perfects squares undo, jail break, *when on you put it on a variable in equation other side is ± solving proportions y = mx + b, y – y = m( x – x ), m midpoint formula, yy , parallel, perpendicular xx distance formula quadratic formula….used to find roots of a quadratic…..look at multiple choice to see if using No zero on bottom of fraction!!!!!!! Misc: integers, rational numbers, consecutive numbers, approximating sq rts., i, benchmarks as reference