Geometry B Final Exam Information Once you are in the room, you must begin the exam. You will be provided with theorem pages photocopied from the back of the book if you would like. If you would like to use your own theorem sheets, make a photocopy because they will not be returned to you. You may use an 8 1/2“ by 11” piece of paper (one side) hand written with what you like for the entire test. There is no time for notes at the end of the test so make sure you include what you need on the paper. Anything on your desk will be turned in at the end of the test. No hall passes will be given out during the exam. You may not listen to IPods or other musical devices after the exam. If I even see a cell phone or an iPad, you will receive a 0 on the exam. Bring something to do, in the case that you finish the exam early. You may not talk to anyone while people are taking the exam. If you are talking to someone while others are taking the exam, you will receive a 0 on the exam. Bring your book for me to collect by the time you take your exam. The following topics are topics that are covered on the exam. I will give you additional practice problems during the week of exams. A lot of your questions came from unit tests, so you should study by redoing questions that came from your review packets from those tests. Also, reviewing old quizzes is a good idea. UNIT 4 Similarity • • • • • • • • • • • • • • • • • I can express ratios in multiple formats. I can solve proportions. I can state the properties of similarity. I can find the similarity ratio of similar triangles. I can find missing sides length of similar triangles. I can find missing angles of similar triangles. I can show triangles are similar using the AA postulate. I can show triangles are similar using the SAS theorem. I can show triangles are similar using the SSS theorem. I can write a similarity statement. I can verify that triangles are similar. I can apply the triangle proportionality theorem. I can apply the converse of the triangle proportionality theorem. I can apply the two-transversal proportionality corollary. I can apply the triangle angle bisector theorem. I can solve real world problems using similar triangles. I can use the triangle inequalities theorem. UNIT 5 Quadrilaterals and other polygons • • • • • • I can find the area of a regular polygon. I can use a Venn diagram to show the relationships among classifications of quadrilaterals. I can use the attributes (conditions) of quadrilateral to classify the type of quadrilateral. I can explain/justify the sum of the interior angles of a quadrilateral. I can explain/justify the sum of the exterior angles of a quadrilateral. I can use the coordinate plane to prove the type of quadrilateral UNIT 6 Right Triangle Trig • • • • • I can state the trig ratios of a right triangle. I can explain why any right triangle yields the same trig values. I can explain the relationship of sine and cosine with complementary angles. I can apply the 30-60-90 right triangle theorem. I can apply the 45-45-90 right triangle theorem. • • • • • • • • I can solve right triangles using trig functions. I can solve right triangles using inverse trig functions. I can use angles of elevation to find desired measurements. I can use angles of depression to find desired measurements. I can solve triangles using the Law of Sines. I can solve triangles using the Law of Cosines. I can find the area of a triangle using the trigonometric area formula. I can state the cosine, sine ordered pairs on the unit circle. UNIT 7 Circles • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • I can find an arc length. I can recognize that all circles are similar. I can identify inscribed angles. I can determine an inscribed angles measurement given an arc length. I can determine an arc length given an inscribed angle. I can determine angle measures given two inscribed angles. I can find the area of a sector. I can identify a circumscribed angle. I can determine a circumscribed angles measurement given an arc length. I can determine an arc length given a circumscribed angle. I can use technology to construct the inscribed circle of a triangle. I can use technology to construct the circumscribed circle of a triangle. I can use constructions to prove properties of angles for a quadrilateral inscribed in a circle. I can construct a tangent line from a point outside a circle to the circle. I can write an equation for a circle given center and radius. I can write an equation for a circle given a center and one point on the circle. I can find the center and radius of a circle given the equation of a circle. I can define a circle. I can identify a secant. I can define a secant. I can identify a chord. I can define a chord. I can state what the longest chord of a circle is. I can identify a tangent line. I can define a tangent line. I can identify the point of tangency. I can define radius. I can define diameter. I can use properties of tangents to find segment lengths. I can use properties of chord to find missing measures. Unit 8 Modeling 3D figures • • • • • • • • • • • • • • • • • • • • I can name different 3-dimensional figures. I can identify the base(s) of a 3-dimensional figure. I can identify the cross sections of a 3-dimensional shape. I can draw the 6 orthographic views of a 3-dimensional shape. I can make a net drawing of a 3-dimensional shape. I can find the surface area of a 3-dimensioanl shape. I can find the volume of a 3-dimensional shape. I can state the relationship between the volumes of a prism and pyramid. I can determine the impact of scale factor of surface area. I can determine the impact of scale factor of volume I can state the relationship between the volume of a cylinder and cone. I can find the rotational symmetry of a 3-dimensional figure. I can use a drawing program to investigate the three-dimensional figures that result from rotating various quadrilaterals over line I can apply the “solids of revolution” to determine a shape. I can find the area of a regular polygon. I can use the coordinate plane to compute the perimeter of polygons. I can use the coordinate plane to compute the area of triangles. I can use the coordinate plane to compute the area of rectangles. I can determine the effect of the area of a regular polygon that has been changed by a factor or K. I can determine the effect of the perimeter of a regular polygon that has been changed by a factor or K.