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Math 1312 Fall 2010 Final Review / Practice Test When: Friday, May 6 Time: 11 am – 2 pm Where: SR 116 What to bring: picture ID, scantron form, pencil with eraser, calculator Format: Multiple choice Total points: 100 What is covered: Chapter 1 – Chapter 6, Chapter 8, and Chapter 9 (Only Sections covered in class are included) Math Department Final Policy: If you score 70% or above on the final, then you will pass the course with at least a D−. Vertical angles are congruent. 1. Find “x” . m∠1 = 9x – 4 1 2 m∠2 = 3x + 14 Median joints a vertex to the midpoint of the opposite side. 2. Find AB if BD is a median of ∆ABC. B 2x A x-1 D 4x-16 C Know how to determine the type of triangle. 3. Determine the type of triangle represented if the lengths of its sides are as follows: a) 4, 5, 7 b) 6, 7, 8 c) 9, 12, 15 d) 3, 4, 9 Sum of the measures of the angles in a triangle is 180 4. Find the value of “x”. 21° (4x+19)° 6x° 5. In an isosceles trapezoid, the bases are 70 cm and 30 cm. What is the length of the median? 6. Find the value of “x”. (5x - 3)° 31° (2x + 5)° 7. Find the Lateral Area, Total Area, and Volume of the cylinder with radius 5 and altitude 6. 2 8. Find the slant height of the cone with the radius 3 and the altitude 6. 9. Find the area of a rhombus with diagonals 12 and 14. 10. Find the total area (surface area) and the volume of the rectangular prism below. 6cm 8 cm 10 cm 11. Find the slant height, and the volume of the pyramid below. 6 16 16 3 48 12 12. Find the area of the shades region. 22 7 13. Find the measure of ∠U. Find the sum of the interior angles first!! V 4y° R (12y-30)° (6y)° S (11y-15)° U (6y)° T 14. What is the measure of an interior angle of a hexagon? 15. Each interior angle of a regular polygon is 90. How many side does it have? 16. Suppose that the perimeter of a quadrilateral is 70 and the lengths of the sides are in ratio 2:3:4:5. Find the measure of each side. 4 17. Which postulate can be used to prove that ∆ABE ≅ ∆CBE? B A C E 18. ∆DEF is isosceles. ∠D is the vertex angle. The m∠E = 2x + 40 and the m∠F = 3x + 22. Find the measures of each angle. Know supplementary angles, complementary angles, vertical angles, consecutive interior, alternate exterior, alternate interior, corresponding. 19. Name each pair of angles. a ||b 2 a 4 6 b 8 1 3 5 7 t 1) ∠1 and ∠2 2) ∠1and ∠4 5 3) ∠3 and ∠7 4) ∠4 and ∠5 5) ∠1 and ∠8 A 20. Find the apothem, perimeter and area of an equilateral triangle with sides of 18. 21. Find the value of x. x + 13 a ll b x + 33 18 a 10 b 6 22. Find the value of “x” in the circle below. 75° 30° x° 23. Find the value of “x” in the circle below. x° 40° 100° Know how to find the sides of special right triangles (30-60-90) and (45-45-90) if one of the sides is given. 24. Find the exact value of “x”. 60° x 6 30° 25. Find the exact value of “x”. 45° x 14 45° 7 26. Given PR = 8, PS = 4, find SQ. 27. The triangles below are similar. Find the value of “x”. 12 36 18 x 24 28. Find the AE given DE = 6, BE = 14 and CE = 7. 8 29. In the figure below, p ll m, m∠2 = 74° and m∠7 = 104°. Find the following angle measures. m p 3 1 2 4 7 5 6 9 11 1) m∠1 = ______ 10 2) m∠3 = ______ 8 3) m∠9 = ______ 4) m∠10 = ______ 9