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Transcript
Informal Geometry Exam #2 Study Guide Formulas Perimeter of Polygons Add the lengths of all the sides for any polygon Area of Triangles and Quadrilaterals Triangle Rectangle Square Parallelogram Trapezoid Note: be able to explain how the formula for the area of a trapezoid is related to the formula for the area of a parallelogram. Circles Diameter = 2(radius) or d=2r Circumference = 2r Area = r2 Rectangular Prisms Volume = lwh Surface Area = 2lw + 2lh + 2wh Cylinders Volume = r2h Surface Area = 2r2 + 2rh Cones Volume = (1/3) r2h The Midpoint of a Segment with endpoints at (X1, Y1) and (X2, Y2) x x y y M = 1 2 , 1 2 2 2 Properties & Theorems 1. Circles and Angles (A #6) a. The measure of a central angle is equal to the measure of the intercepted arc. b. An angle formed by a tangent and a chord to a circle (an inscribed angle) is measured by half its intercepted arc. c. The measure of an angle outside the circle that is formed by two secants is one-half the difference of the intercepted arcs. d. The measure of an angle inside the circle that is formed by two secants is one-half the sum of the intercepted arcs. 2. A tangent to a circle is perpendicular to the radius at the point of tangency. (GSP4 and A#6) 3. The perpendicular bisector of a chord of a circle lies along a diameter of the circle and thus passes through the center. (GSP4 and A#6) 4. If 2 chords are congruent, they are the same distance from the center (GSP4) 5. Know the properties of the diagonals, sides, and angles of quadrilaterals (see A5). You will do a compass and straightedge construction based on this… Like GSP3. You will also be asked several true false questions some of which will be about these properties.