1. # of sidesname# of diagonalsinterior angle sum Exterior angle sum Each interior angle if regular Each exterior angle if regular 3 4 5 6 7 8 9 10 12 20 100 n Study Guide For Exam 2 Geometry 2011 Name:_______________________ Date:__________ Group:________ The exam is Wednesday October 5 th You may use this study guide while you take this test. Part One: Complete the following table

2. 1. If ∆RTS is isosceles with base TS, m  T = 10t and m  S = 32 + 2t, find t, m  S and m  R.. T t = m  S = m  R.= S R 2.  ABC is isosceles with its vertex at A. If CD = 2x+ 5, BC = 3x and AB = 3x  4, draw a sketch and find the perimeter of  ABC. 3. Find the measure of each angle in a triangle if they have the extended ratio of 4:6:8. 4.

3. (n +12)  (3n)  (5n)  5. Find the value of n Remember NEVER ASSUME that a drawing is to scale! You can only rely on the labels! 7.List the segments in order from LONGEST to SHORTEST 8.List the angles in order from LARGEST to SMALLEST HD 50  60  70  A E I B FG L 60 ft 61 ft 59 ft 9.List the segments in order from LONGEST to SHORTEST M 55  65  60  70  50  60  6.

4. 10. Construct (construct means you must use a compass and a ruler) each triangle (if possible). A.Construct a triangle with sides B. Construct a triangle with sides of the lengths: 2”, 2” and 2”. of the lengths: 1”, 1” and 3” C. Construct a triangle with sides of the lengths: 3”, 3” and 2” D. Construct a triangle with sides of the lengths:  ’,  ’, and  ’.

5. 5. 11. Can the following be the lengths of three sides of a triangle? Justify your answers a.3, 6, 4 __________________________________ b.7, 4, 3 __________________________________ c.4, 3, 8 __________________________________ d.4, 4, 4 ___________________________________ 12.Given the lengths of two sides of a triangle, give a possible length for the third side AND give the range of possible lengths for the third side. a.13 and 4 _____________________________________ b.70 and 30 _____________________________________ c.4 and 8 _______________________________________ d.41 and 41 _____________________________________ 13. 14. Find the measure of each angle in the pentagon 15. Find the measure of each angle in the hexagon

6. 19a. Graph the line 3x + 4y = 12 b. Find the x-intercept 20a. Graph the line 4x + 3y = 9 b. Write the equation of the line perpendicular to the line in a. passing through the point (-1,-1) 16. 15. 17. 18.