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Download Geo Reminders for ACT - Ms-Schmitz-Geometry
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Transcript
Geometry Reminders for ACT Special Pairs of Angles Linear Pairs - supplementary and form a line Vertical Angles - congruent Complementary Angles - a pair of angles that add up to 90º Supplementary Angles - a pair of angles that add up to 180º Parallel Lines and Transversals All pairs of angles are either congruent or supplementary Alternate Interior angles - congruent Alternate Exterior angles - congruent Corresponding angles - congruent Consecutive Interior angles - supplementary Triangles Isosceles Triangles - 2 sides congruent, base angles congruent Equilateral Triangles - all sides congruent, all angles 60º, altitude makes a 30-60-90 triangle Angles across from the biggest side of a triangle are the biggest angle and vice versa Angles across from the smallest side of a triangle are the smallest angle and vice versa Angles add up to 180 Right Triangles a2 b2 c2 hypotenuse leg leg section adjacent to leg Pythagorean Theorem - use when you know 2 sides of a right triangle section 1 altitude section 2 Geometric Mean - altitude opposite hypotenuse Quadrilaterals sin cos adjacent hypotenuse tan opposite adjacent Geometry Reminders for ACT Parallelograms - opposite sides parallel, opposite sides congruent, opposite angles congruent, consecutive angles supplementary, diagonals bisect each other Rectangles - all parallelogram properties, diagonals congruent, all angles right angles Rhombus - all parallelogram properties, diagonals perpendicular, all sides congruent Squares - all properties of parallelograms, rectangles and rhombus Circles All radii are congruent Radius is perpedicular to a tangent at point of tangency Radii that are perpendicular to chords bisect chords Diameters make semi-circles which are 180º 2 radii and a chord make an isosceles triangle Angle and Segment Formulas click here Area Formulas at: click here Surface Area and Volume Formulas at: click here